Pub Date : 2024-01-27DOI: 10.1142/s0217979224504332
Geoffrey Tse
In this paper, using density functional theory (DFT), we present a systematic computational investigation on ZrCl4 in respect of electronic, structural, optical, mechanical properties, which is of great interest in semiconductor physics. Our results show that the metal tetrachloride is a mechanically stable semiconductor with a wide indirect bandgap of eV (eV). ZrCl4 could behave as a brittle material and could be covalent. According to our optical data, a reflectivity of 27.6% could suggest a good material absorption characteristic on the studied material, with a high absorption coefficient of up to cm. On the partial density of states plot, the hybridization of electron orbitals between Cl 3p5 states in the valence band and transition Zr 4d2 states in the conduction band is also observed. Our findings advance the fundamental understanding of ZrCl4 material and provide important insights in electronic/optoelectronic applications.
{"title":"A first principles insight on structural, electronic, optical and mechanical properties of ZrCl4","authors":"Geoffrey Tse","doi":"10.1142/s0217979224504332","DOIUrl":"https://doi.org/10.1142/s0217979224504332","url":null,"abstract":"<p>In this paper, using density functional theory (DFT), we present a systematic computational investigation on ZrCl<sub>4</sub> in respect of electronic, structural, optical, mechanical properties, which is of great interest in semiconductor physics. Our results show that the metal tetrachloride is a mechanically stable semiconductor with a wide indirect bandgap of <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>E</mi></mrow><mrow><mi>g</mi></mrow><mrow><mstyle><mtext mathvariant=\"normal\">HSE</mtext></mstyle><mn>0</mn><mn>3</mn></mrow></msubsup><mo>=</mo><mn>4</mn><mo>.</mo><mn>8</mn><mn>2</mn></math></span><span></span><span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>eV (<span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>E</mi></mrow><mrow><mi>g</mi></mrow><mrow><mstyle><mtext mathvariant=\"normal\">GGA</mtext></mstyle></mrow></msubsup><mo>=</mo><mn>3</mn><mo>.</mo><mn>5</mn><mn>6</mn></math></span><span></span><span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>eV). ZrCl<sub>4</sub> could behave as a brittle material and could be covalent. According to our optical data, a reflectivity of 27.6% could suggest a good material absorption characteristic on the studied material, with a high absorption coefficient of up to <span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><mn>1</mn><mo>.</mo><mn>6</mn><mn>1</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>5</mn></mrow></msup></math></span><span></span><span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>cm<span><math altimg=\"eq-00007.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></math></span><span></span>. On the partial density of states plot, the hybridization of electron orbitals between Cl 3p<sup>5</sup> states in the valence band and transition Zr 4d<sup>2</sup> states in the conduction band is also observed. Our findings advance the fundamental understanding of ZrCl<sub>4</sub> material and provide important insights in electronic/optoelectronic applications.</p>","PeriodicalId":14108,"journal":{"name":"International Journal of Modern Physics B","volume":"34 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140047056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-27DOI: 10.1142/s0217979224504320
Lingfeng Jiang, Li Xiong, Xinlei An, Li Zhang
Artificial neural circuits can effectively reproduce the main biophysical properties of neurons when reliable electronic components with unique physical properties are introduced. Connecting memristor to neural circuits not only enhances the potential controllability under external physical stimuli but also recognizes the effects of electromagnetic induction on neural activity. In this paper, the piezoelectric ceramic and memristor are embedded in FitzHugh-Nagumo (FHN) neural circuit, then two kinds of functional neuron models with magnetic field-control and electric field-control are obtained, respectively, to estimate the effects of external sound waves and external electric fields. To investigate the energy consumption when information transfer between neurons, the Hamilton energy functions of the above neuron models are obtained by calculating the field energy of each electronic component, and their correctness is verified by Helmholtz’s theorem. In addition, two neurons can be coupled by an induction coil to equal the processing of chemical coupling and realize pumping energy between neurons. Moreover, an energy switch is added to the coupling channel to open or close the coupling channel by detecting the diversity of energy. That is, it is kept open when the coupled system is exchanging field energy until the energy diversity between neurons is controlled at a limited threshold. The two-parameter bifurcation results show that the above two neurons have different bifurcation modes under different external magnetic or electric fields. For coupled systems, it is found that two identical neurons can achieve complete synchronization (energy balance) or intermittent complete synchronization (intermittent energy balance) by adaptive coupling. However, two diverse neurons can only achieve phase lock or phase synchronization, since the diversity of the coupled system parameters can disrupt the achievement of complete synchronization. These results are helpful for designing intelligent neural networks by taming the coupling channels with gradient energy distribution.
{"title":"Hamilton energy modulation and synchronization control for a kind of coupled function neurons","authors":"Lingfeng Jiang, Li Xiong, Xinlei An, Li Zhang","doi":"10.1142/s0217979224504320","DOIUrl":"https://doi.org/10.1142/s0217979224504320","url":null,"abstract":"<p>Artificial neural circuits can effectively reproduce the main biophysical properties of neurons when reliable electronic components with unique physical properties are introduced. Connecting memristor to neural circuits not only enhances the potential controllability under external physical stimuli but also recognizes the effects of electromagnetic induction on neural activity. In this paper, the piezoelectric ceramic and memristor are embedded in FitzHugh-Nagumo (FHN) neural circuit, then two kinds of functional neuron models with magnetic field-control and electric field-control are obtained, respectively, to estimate the effects of external sound waves and external electric fields. To investigate the energy consumption when information transfer between neurons, the Hamilton energy functions of the above neuron models are obtained by calculating the field energy of each electronic component, and their correctness is verified by Helmholtz’s theorem. In addition, two neurons can be coupled by an induction coil to equal the processing of chemical coupling and realize pumping energy between neurons. Moreover, an energy switch is added to the coupling channel to open or close the coupling channel by detecting the diversity of energy. That is, it is kept open when the coupled system is exchanging field energy until the energy diversity between neurons is controlled at a limited threshold. The two-parameter bifurcation results show that the above two neurons have different bifurcation modes under different external magnetic or electric fields. For coupled systems, it is found that two identical neurons can achieve complete synchronization (energy balance) or intermittent complete synchronization (intermittent energy balance) by adaptive coupling. However, two diverse neurons can only achieve phase lock or phase synchronization, since the diversity of the coupled system parameters can disrupt the achievement of complete synchronization. These results are helpful for designing intelligent neural networks by taming the coupling channels with gradient energy distribution.</p>","PeriodicalId":14108,"journal":{"name":"International Journal of Modern Physics B","volume":"98 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140046849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-27DOI: 10.1142/s0217979224504319
T. Salahuddin, Muhammad Awais, Shah Muhammad
The analysis of non-Newtonian fluid flow over an oscillating surface often involves numerical simulations and experimental investigations. Computational fluid dynamics method including finite difference or finite element techniques can be used to crack the governing equations of the fluid flow. In this work, we used the Crank–Nicolson numerical technique to analyze the numerical behavior of unsteady boundary layer flow of Casson fluid with natural convection past an oscillating vertical plate. The temperature-dependent viscosity is assumed for the flow analysis. The impact of chemical reaction and heat generation coefficient is used to examine the mass and heat transferal rates. The investigation of non-Newtonian fluid flow over an oscillating surface is crucial for a wide range of industrial, biomedical, and scientific applications. The governing model of equations occurs in the form of nondimensional PDEs and then we use the dimensionless variables in order to achieve the dimensional PDEs. These equations are numerically solved by using the Crank–Nicolson technique. The Crank–Nicolson scheme is used because it has the ability to provide accurate and stable solutions and make it a valuable numerical technique in various scientific and engineering disciplines. The findings indicate the significance of numerous parameters on the mass, velocity and energy regions. The numerical outcomes of skin friction are observed due to fluid parameter, viscosity parameter, Grashof numbers of heat and solutal rates.
{"title":"Unsteady non-Newtonian fluid flow past an oscillating vertical plate with temperature-dependent viscosity: A numerical study","authors":"T. Salahuddin, Muhammad Awais, Shah Muhammad","doi":"10.1142/s0217979224504319","DOIUrl":"https://doi.org/10.1142/s0217979224504319","url":null,"abstract":"<p>The analysis of non-Newtonian fluid flow over an oscillating surface often involves numerical simulations and experimental investigations. Computational fluid dynamics method including finite difference or finite element techniques can be used to crack the governing equations of the fluid flow. In this work, we used the Crank–Nicolson numerical technique to analyze the numerical behavior of unsteady boundary layer flow of Casson fluid with natural convection past an oscillating vertical plate. The temperature-dependent viscosity is assumed for the flow analysis. The impact of chemical reaction and heat generation coefficient is used to examine the mass and heat transferal rates. The investigation of non-Newtonian fluid flow over an oscillating surface is crucial for a wide range of industrial, biomedical, and scientific applications. The governing model of equations occurs in the form of nondimensional PDEs and then we use the dimensionless variables in order to achieve the dimensional PDEs. These equations are numerically solved by using the Crank–Nicolson technique. The Crank–Nicolson scheme is used because it has the ability to provide accurate and stable solutions and make it a valuable numerical technique in various scientific and engineering disciplines. The findings indicate the significance of numerous parameters on the mass, velocity and energy regions. The numerical outcomes of skin friction are observed due to fluid parameter, viscosity parameter, Grashof numbers of heat and solutal rates.</p>","PeriodicalId":14108,"journal":{"name":"International Journal of Modern Physics B","volume":"34 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140047029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-25DOI: 10.1142/s0217979224504290
Ali Raza Mirza, Mah Noor Jamil, Adam Zaman Chaudhry
Open quantum systems are a subject of immense interest as their understanding is crucial in the implementation of modern quantum technologies. In the study of their dynamics, the role of the initial system–environment correlations is commonly ignored. In this work, to gain insights into the role of these correlations, we solve an exactly solvable model of a single two-level system interacting with a spin environment, with the initial system state prepared by a suitable unitary operation. By solving the dynamics exactly for arbitrary system–environment coupling strength while taking into account the initial system–environment correlations, we show that the effect of the initial correlations is, in general, very significant and nontrivial. To further highlight the importance of the initial system–environment correlations, we also extend our study to investigate the dynamics of the entanglement between two two-level systems interacting with a common spin environment.
{"title":"The role of initial system–environment correlations with a spin environment","authors":"Ali Raza Mirza, Mah Noor Jamil, Adam Zaman Chaudhry","doi":"10.1142/s0217979224504290","DOIUrl":"https://doi.org/10.1142/s0217979224504290","url":null,"abstract":"<p>Open quantum systems are a subject of immense interest as their understanding is crucial in the implementation of modern quantum technologies. In the study of their dynamics, the role of the initial system–environment correlations is commonly ignored. In this work, to gain insights into the role of these correlations, we solve an exactly solvable model of a single two-level system interacting with a spin environment, with the initial system state prepared by a suitable unitary operation. By solving the dynamics exactly for arbitrary system–environment coupling strength while taking into account the initial system–environment correlations, we show that the effect of the initial correlations is, in general, very significant and nontrivial. To further highlight the importance of the initial system–environment correlations, we also extend our study to investigate the dynamics of the entanglement between two two-level systems interacting with a common spin environment.</p>","PeriodicalId":14108,"journal":{"name":"International Journal of Modern Physics B","volume":"11 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140047030","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-08DOI: 10.1142/s0217979224400150
Kohei Fukumura, Koki Shibai, Sayaka Hattori, Kei-Ichiro Murai, Toshihiro Moriga
Using Eu2O3, BaCO3, Si3N4 and SiO2 as starting materials, we succeeded in synthesizing BaSi4O6N2:Eu by firing the mixture at 1100∘C for 2h in a reducing atmosphere (N2(95%)–H2(5%)). As a result, a single phase was obtained by setting the charge composition ratio to Si/. When the Eu activation amount was 1%, it showed a broad emission in the range of 400–600nm under the excitation light of ultraviolet rays at 320nm. This phosphor exhibited chromaticity coordinates of under irradiation with ultraviolet rays at 320nm and is thought to be a promising phosphor for ultraviolet-excited white LEDs.
{"title":"Synthesis and photoluminescence properties of novel BASI4O6N2:EU2+ phosphor","authors":"Kohei Fukumura, Koki Shibai, Sayaka Hattori, Kei-Ichiro Murai, Toshihiro Moriga","doi":"10.1142/s0217979224400150","DOIUrl":"https://doi.org/10.1142/s0217979224400150","url":null,"abstract":"<p>Using Eu<sub>2</sub>O<sub>3</sub>, BaCO<sub>3</sub>, Si<sub>3</sub>N<sub>4</sub> and SiO<sub>2</sub> as starting materials, we succeeded in synthesizing BaSi<sub>4</sub>O<sub>6</sub>N<sub>2</sub>:Eu<span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow></mrow><mrow><mn>2</mn><mo>+</mo></mrow></msup></math></span><span></span> by firing the mixture at 1100<sup>∘</sup>C for 2<span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>h in a reducing atmosphere (N<sub>2</sub>(95%)–H<sub>2</sub>(5%)). As a result, a single phase was obtained by setting the charge composition ratio to Si/<span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><mstyle><mtext mathvariant=\"normal\">Ba</mtext></mstyle><mo>=</mo><mn>6</mn></math></span><span></span>. When the Eu<span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow></mrow><mrow><mn>2</mn><mo>+</mo></mrow></msup></math></span><span></span> activation amount was 1%, it showed a broad emission in the range of 400–600<span><math altimg=\"eq-00007.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>nm under the excitation light of ultraviolet rays at 320<span><math altimg=\"eq-00008.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>nm. This phosphor exhibited chromaticity coordinates of <span><math altimg=\"eq-00009.gif\" display=\"inline\" overflow=\"scroll\"><mo stretchy=\"false\">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy=\"false\">)</mo><mo>=</mo><mo stretchy=\"false\">(</mo><mn>0</mn><mo>.</mo><mn>2</mn><mn>5</mn><mn>8</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>2</mn><mn>9</mn><mn>7</mn><mo stretchy=\"false\">)</mo></math></span><span></span> under irradiation with ultraviolet rays at 320<span><math altimg=\"eq-00010.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>nm and is thought to be a promising phosphor for ultraviolet-excited white LEDs.</p>","PeriodicalId":14108,"journal":{"name":"International Journal of Modern Physics B","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140047007","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-12DOI: 10.1142/s0217979224400071
P. Vijayakumar, R. H. Reddy
This study investigates the effects of complete slip conditions on the peristaltic pumping of a Casson nanofluid with suction and injection in a vertical due to the crucial role that nano liquids play in a variety of technological and medical fields, particularly in peristalsis, a mechanism that transports liquids. The Casson fluid belongs to a class of non-Newtonian fluids that, through a particular stress threshold magnitude, exhibit elastic solid behavior before changing to liquid behavior. These fluids have several uses in engineering, food preparation, drilling and other fields. After establishing the governing conservation equations, the resulting flow model is effectively simulated using the realistic assumptions of a long wavelength and a low Reynolds number. The temperature distributions, velocity, pressure rate per wavelength and nanoparticle concentration of the resulting flow problem have been solved analytically. The effects of all physical factors on temperature, velocity, concentration fields, pressure rate, frictional force and pressure gradient are graphically examined using Wolfram MATHEMATICA software. There are a variety of biofluids that cannot be classified as liquids. For example, blood contains WBC, RBC and plasma. It is essential to model biofluids (blood) as nanofluids given the physical properties of these biofluids. According to reports, one of the finest yield stress models is the Casson model, and blood exhibits a similar behavior. We took these facts into consideration when thinking about Casson nanofluid flow in a vertical layer under peristalsis. Additionally, the suction and injection mechanisms can be used to represent the exchange of carbon dioxide in bold. In order to understand how blood flows through small blood vessels, this model must be examined. The obtained results show that the Newtonian case and those found in the literature have a very good agreement. Since the liquid moves faster and more effectively when the value is increased, it becomes clear that this increases the strength of the velocity. In other words, nanoperistaltic pumps can maintain a pressure differential that increases or decreases at all operating flow rates with an increasing thermophoresis effect. Furthermore, it is obvious that the pressure reduction in a Casson fluid is greater than in a Newtonian fluid.
{"title":"Effects of complete slip conditions on the peristaltic pumping of a Casson nanofluid with suction and injection in a vertical channel","authors":"P. Vijayakumar, R. H. Reddy","doi":"10.1142/s0217979224400071","DOIUrl":"https://doi.org/10.1142/s0217979224400071","url":null,"abstract":"This study investigates the effects of complete slip conditions on the peristaltic pumping of a Casson nanofluid with suction and injection in a vertical due to the crucial role that nano liquids play in a variety of technological and medical fields, particularly in peristalsis, a mechanism that transports liquids. The Casson fluid belongs to a class of non-Newtonian fluids that, through a particular stress threshold magnitude, exhibit elastic solid behavior before changing to liquid behavior. These fluids have several uses in engineering, food preparation, drilling and other fields. After establishing the governing conservation equations, the resulting flow model is effectively simulated using the realistic assumptions of a long wavelength and a low Reynolds number. The temperature distributions, velocity, pressure rate per wavelength and nanoparticle concentration of the resulting flow problem have been solved analytically. The effects of all physical factors on temperature, velocity, concentration fields, pressure rate, frictional force and pressure gradient are graphically examined using Wolfram MATHEMATICA software. There are a variety of biofluids that cannot be classified as liquids. For example, blood contains WBC, RBC and plasma. It is essential to model biofluids (blood) as nanofluids given the physical properties of these biofluids. According to reports, one of the finest yield stress models is the Casson model, and blood exhibits a similar behavior. We took these facts into consideration when thinking about Casson nanofluid flow in a vertical layer under peristalsis. Additionally, the suction and injection mechanisms can be used to represent the exchange of carbon dioxide in bold. In order to understand how blood flows through small blood vessels, this model must be examined. The obtained results show that the Newtonian case and those found in the literature have a very good agreement. Since the liquid moves faster and more effectively when the value is increased, it becomes clear that this increases the strength of the velocity. In other words, nanoperistaltic pumps can maintain a pressure differential that increases or decreases at all operating flow rates with an increasing thermophoresis effect. Furthermore, it is obvious that the pressure reduction in a Casson fluid is greater than in a Newtonian fluid.","PeriodicalId":14108,"journal":{"name":"International Journal of Modern Physics B","volume":"13 5","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139009523","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-12DOI: 10.1142/s0217979224400010
Nanda Kanan Pal, Prasanta Chatterjee, A. Saha
Using the Darboux transformation method, the general Lax equation is solved and a collection of new exact solutions together with one-soliton solutions, singular one-soliton solutions, periodic solutions, singular periodic solution, two-soliton solutions, singular two-soliton solutions, two-periodic solutions and singular two-periodic solutions is obtained. Using traveling wave transformation, the Lax equation is transfigured to a conservative dynamical system (CDS) of dimension four with three equilibrium points involving two parameters [Formula: see text] and v. The CDS has various quasi-periodic motions for fixed values of the parameters [Formula: see text] and v at different initial conditions. Furthermore, effects of the parameters [Formula: see text] and v are shown on the quasiperiodic motions of the CDS by means of phase sections and time series plots. This approach can be applied to a heterogeneity of nonlinear model equations or partial differential equations for describing their inherent nonlinear phenomena.
利用达尔布变换方法求解了一般拉克斯方程,并得到了一系列新的精确解,包括单孑子解、奇异单孑子解、周期解、奇异周期解、双孑子解、奇异双孑子解、双周期解和奇异双周期解。利用行波变换,拉克斯方程被转换为一个四维保守动力系统(CDS),该系统有三个平衡点,涉及两个参数[公式:见正文]和 v。在不同的初始条件下,当参数[公式:见正文]和 v 的值固定时,CDS 有各种准周期运动。此外,还通过相位剖面图和时间序列图显示了参数[公式:见正文]和 v 对 CDS 准周期运动的影响。这种方法可应用于各种非线性模型方程或偏微分方程,以描述其内在的非线性现象。
{"title":"Solitons, multi-solitons and multi-periodic solutions of the generalized Lax equation by Darboux transformation and its quasiperiodic motions","authors":"Nanda Kanan Pal, Prasanta Chatterjee, A. Saha","doi":"10.1142/s0217979224400010","DOIUrl":"https://doi.org/10.1142/s0217979224400010","url":null,"abstract":"Using the Darboux transformation method, the general Lax equation is solved and a collection of new exact solutions together with one-soliton solutions, singular one-soliton solutions, periodic solutions, singular periodic solution, two-soliton solutions, singular two-soliton solutions, two-periodic solutions and singular two-periodic solutions is obtained. Using traveling wave transformation, the Lax equation is transfigured to a conservative dynamical system (CDS) of dimension four with three equilibrium points involving two parameters [Formula: see text] and v. The CDS has various quasi-periodic motions for fixed values of the parameters [Formula: see text] and v at different initial conditions. Furthermore, effects of the parameters [Formula: see text] and v are shown on the quasiperiodic motions of the CDS by means of phase sections and time series plots. This approach can be applied to a heterogeneity of nonlinear model equations or partial differential equations for describing their inherent nonlinear phenomena.","PeriodicalId":14108,"journal":{"name":"International Journal of Modern Physics B","volume":"29 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139007376","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-12DOI: 10.1142/s0217979224400095
Huann-Ming Chou, Hui-Chun Yang
A novel multi-directional (MD) circular-shaped fiber piezoelectric sensor was developed to detect calligraphy writing force from various directions quantitatively. The sensor was fabricated using polyvinylidene fluoride (PVDF) piezoelectric fibers doped with Graphene and spun using direct-write near-field electrospinning (NFES) technology. The NFES collector, designed as a rotating disc system, orderly collected the fibers to enhance the piezoelectric effect and dipole moments, forming the circular sensor. Flexible electrical electrodes with multiple signal output circuits were incorporated for calligraphy stroke sensing, bonded with circular PVDF fibers to create the flexible MD sensor. With inner and outer diameters of 20[Formula: see text]mm and 60[Formula: see text]mm, the circular sensor responded to deformable signals induced by calligraphy strokes. Parameters of sensor fabrication were optimized using the uniform design experimental method. Calibration involved tapping tests at 1–10[Formula: see text]Hz to correlate fiber output voltage with the corresponding force. The single sensor reached a maximum voltage output of approximately 908[Formula: see text]mV and detected forces ranging from 0.1 to 50[Formula: see text]N. After validating the MD circular-shaped piezoelectric sensor, a [Formula: see text] sensor array was configured for calligraphy writing force sensing, providing quantitative measurements of dynamic responses during writing, valuable as a data source for apprentice learning.
{"title":"Development of multi-directional piezoelectric sensor doped with graphene by near-field electrospinning technology for calligraphy writing","authors":"Huann-Ming Chou, Hui-Chun Yang","doi":"10.1142/s0217979224400095","DOIUrl":"https://doi.org/10.1142/s0217979224400095","url":null,"abstract":"A novel multi-directional (MD) circular-shaped fiber piezoelectric sensor was developed to detect calligraphy writing force from various directions quantitatively. The sensor was fabricated using polyvinylidene fluoride (PVDF) piezoelectric fibers doped with Graphene and spun using direct-write near-field electrospinning (NFES) technology. The NFES collector, designed as a rotating disc system, orderly collected the fibers to enhance the piezoelectric effect and dipole moments, forming the circular sensor. Flexible electrical electrodes with multiple signal output circuits were incorporated for calligraphy stroke sensing, bonded with circular PVDF fibers to create the flexible MD sensor. With inner and outer diameters of 20[Formula: see text]mm and 60[Formula: see text]mm, the circular sensor responded to deformable signals induced by calligraphy strokes. Parameters of sensor fabrication were optimized using the uniform design experimental method. Calibration involved tapping tests at 1–10[Formula: see text]Hz to correlate fiber output voltage with the corresponding force. The single sensor reached a maximum voltage output of approximately 908[Formula: see text]mV and detected forces ranging from 0.1 to 50[Formula: see text]N. After validating the MD circular-shaped piezoelectric sensor, a [Formula: see text] sensor array was configured for calligraphy writing force sensing, providing quantitative measurements of dynamic responses during writing, valuable as a data source for apprentice learning.","PeriodicalId":14108,"journal":{"name":"International Journal of Modern Physics B","volume":"30 14","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139009077","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-12DOI: 10.1142/s0217979224504101
Ranjith Maniyeri
The study of biological fluids in the presence of a magnetic field is known as biomagnetic fluid dynamics (BFD). The research work in BFD has been rapidly growing due to its applications in developing magnetic devices used for cell separation, targeted drug delivery and cancer tumor treatment. This study aims to examine the biomagnetic fluid flow with pulsatile conditions through a channel when subjected to a magnetic field that varies in space. The nondimensional continuity and momentum equations are solved with the effect of the magnetic field added as a body force. A two-dimensional computational model is developed using the finite volume method and is implemented on a staggered grid system with the help of the semi-implicit fractional step method. The code is written using MATLAB. Numerical simulations are performed by varying the Magnetic, Reynolds and Womersley numbers. Pulsatile flow results indicate the periodic growth and decay of vortices near the source of the magnetic field. With an increase in the magnetic number from 100 to 150, 250 and 500, the maximum vorticity increases by 48.04%, 149.84% and 402.68%. A similar relation is found when varying the Reynolds number, while almost no change is found when varying the Womersley number.
{"title":"Numerical simulation of biomagnetic pulsatile flow through a channel","authors":"Ranjith Maniyeri","doi":"10.1142/s0217979224504101","DOIUrl":"https://doi.org/10.1142/s0217979224504101","url":null,"abstract":"The study of biological fluids in the presence of a magnetic field is known as biomagnetic fluid dynamics (BFD). The research work in BFD has been rapidly growing due to its applications in developing magnetic devices used for cell separation, targeted drug delivery and cancer tumor treatment. This study aims to examine the biomagnetic fluid flow with pulsatile conditions through a channel when subjected to a magnetic field that varies in space. The nondimensional continuity and momentum equations are solved with the effect of the magnetic field added as a body force. A two-dimensional computational model is developed using the finite volume method and is implemented on a staggered grid system with the help of the semi-implicit fractional step method. The code is written using MATLAB. Numerical simulations are performed by varying the Magnetic, Reynolds and Womersley numbers. Pulsatile flow results indicate the periodic growth and decay of vortices near the source of the magnetic field. With an increase in the magnetic number from 100 to 150, 250 and 500, the maximum vorticity increases by 48.04%, 149.84% and 402.68%. A similar relation is found when varying the Reynolds number, while almost no change is found when varying the Womersley number.","PeriodicalId":14108,"journal":{"name":"International Journal of Modern Physics B","volume":"89 5","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139008362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-12DOI: 10.1142/s0217979224504228
Liansheng Wang, D. Xia, Quanhong Fu, Yuanxu Wang, Xueyong Ding
The VO2 thin film has the advantage of thermally controlled insulator-metal phase transition. Based on this, we presented a thermally reconfigurable metamaterial with switchable wideband absorption and sensing at THz band in this paper. At low temperature ([Formula: see text][Formula: see text]S/m), the metamaterial can realize nearly perfect absorption at the range of 6.88–9[Formula: see text]THz. When the temperature rises to a certain extent ([Formula: see text][Formula: see text]S/m), an absorption peak which can be used to sensing appears at 4.08[Formula: see text]THz with the permittivity sensitivity of 0.5[Formula: see text]THz/PU. The metamaterial has the advantages of simple structure and switchable wideband absorption/sensing functions with potential application value on terahertz stealth, detection, sensing, and so on.
{"title":"A thermally reconfigurable metamaterial with switchable wideband absorption and sensing at THz band based on VO2 thin film","authors":"Liansheng Wang, D. Xia, Quanhong Fu, Yuanxu Wang, Xueyong Ding","doi":"10.1142/s0217979224504228","DOIUrl":"https://doi.org/10.1142/s0217979224504228","url":null,"abstract":"The VO2 thin film has the advantage of thermally controlled insulator-metal phase transition. Based on this, we presented a thermally reconfigurable metamaterial with switchable wideband absorption and sensing at THz band in this paper. At low temperature ([Formula: see text][Formula: see text]S/m), the metamaterial can realize nearly perfect absorption at the range of 6.88–9[Formula: see text]THz. When the temperature rises to a certain extent ([Formula: see text][Formula: see text]S/m), an absorption peak which can be used to sensing appears at 4.08[Formula: see text]THz with the permittivity sensitivity of 0.5[Formula: see text]THz/PU. The metamaterial has the advantages of simple structure and switchable wideband absorption/sensing functions with potential application value on terahertz stealth, detection, sensing, and so on.","PeriodicalId":14108,"journal":{"name":"International Journal of Modern Physics B","volume":"15 12","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139009578","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}