The synthesis of TiO2/MoO3/Au nanocomposite has been carried out to study its photocatalysis activity. A hydrothermal technique was used to systematically incorporate titanium dioxide (TiO2), molybdenum trioxide (MoO3), and gold nanoparticles (Au NPs) to produce a synergistic nanostructured material. The analysis of prepared nanocomposite was performed using several characterization methods. UV-visible spectroscopy is used to examine the existence of materials and optical absorption. X-ray diffraction (XRD) and scanning electron microscopy (SEM) were among the methods used to study the crystalline phases and surface morphologies. Methylene blue organic pollutants were used to evaluate the photocatalytic activity of the resulting TiO2/MoO3/Au nanocomposites under visible light irradiation. The TiO2/MoO3/Au composite showed significant photocatalytic performance among the three composites.
{"title":"Improved photocatalytic activities of TiO2/MoO3/Au nanocomposite prepared by hydrothermal method","authors":"Akash Sawate, Niloy Paul, Akihiro Furube, Tetsuro Katayama, Pankaj Koinkar","doi":"10.1142/s0217984924410069","DOIUrl":"https://doi.org/10.1142/s0217984924410069","url":null,"abstract":"<p>The synthesis of TiO<sub>2</sub>/MoO<sub>3</sub>/Au nanocomposite has been carried out to study its photocatalysis activity. A hydrothermal technique was used to systematically incorporate titanium dioxide (TiO<sub>2</sub>), molybdenum trioxide (MoO<sub>3</sub>), and gold nanoparticles (Au NPs) to produce a synergistic nanostructured material. The analysis of prepared nanocomposite was performed using several characterization methods. UV-visible spectroscopy is used to examine the existence of materials and optical absorption. X-ray diffraction (XRD) and scanning electron microscopy (SEM) were among the methods used to study the crystalline phases and surface morphologies. Methylene blue organic pollutants were used to evaluate the photocatalytic activity of the resulting TiO<sub>2</sub>/MoO<sub>3</sub>/Au nanocomposites under visible light irradiation. The TiO<sub>2</sub>/MoO<sub>3</sub>/Au composite showed significant photocatalytic performance among the three composites.</p>","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":"128 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140311572","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 : 2024-03-27DOI: 10.1142/s021798492450307x
Yanke Zhang, Wei Chen, Qingteng Lai, Zhengchun Liu
Electron transfer in the electrode–solution interface is responsible for the signal in the electrochemical sensor. However, the Electrical Double-Layer (EDL) characteristic is usually ignored in signal modeling. Here, we constructed a model based on the reaction–diffusion equation to describe the dynamics in the EDL during sensing. With this model, many common experimental phenomena, such as transient/steady-state current variation or detection nonlinearization, can be unraveled by exploring the effects of position, kinetics proportionality coefficient (k), and reaction order (). We also put forward some suggestions to improve the stability and linear detection range for future sensor design.
{"title":"Reaction–diffusion equation model in the electrical double layer for exploring the response signal in electrochemical sensing","authors":"Yanke Zhang, Wei Chen, Qingteng Lai, Zhengchun Liu","doi":"10.1142/s021798492450307x","DOIUrl":"https://doi.org/10.1142/s021798492450307x","url":null,"abstract":"<p>Electron transfer in the electrode–solution interface is responsible for the signal in the electrochemical sensor. However, the Electrical Double-Layer (EDL) characteristic is usually ignored in signal modeling. Here, we constructed a model based on the reaction–diffusion equation to describe the dynamics in the EDL during sensing. With this model, many common experimental phenomena, such as transient/steady-state current variation or detection nonlinearization, can be unraveled by exploring the effects of position, kinetics proportionality coefficient (<i>k</i>), and reaction order (<span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mi>β</mi></math></span><span></span>). We also put forward some suggestions to improve the stability and linear detection range for future sensor design.</p>","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":"46 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140311573","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 : 2024-03-27DOI: 10.1142/s0217984924503378
Kotha Gangadhar, E. Mary Victoria, Abderrahim Wakif
Hybrid nanofluids were expressed by heat-transfer fluids into greater surface dispersion capabilities, stability and diffusion related for traditional nanofluids. The effort on the flow of volumetric entropy generation and convective heat transport of MHD hybrid nanofluid is considered. Hybrid nanofluid involves the field over the orderly stretchable surface for variable heat flux with the resistance of electric field. Effect on convective heating and nonlinear thermal radiation is again contained in the interpreted figure. Mathematical equations such as momentum, energy, conservation of mass and entropy were collected as conversion to governing partial differential equations by ordinary differential equations, utilizing similarity variables. An efficient finite element method (FEM) is used. Numerical calculations were accomplished for silver–magnesium oxide water (Ag-MgO/H2O) hybrid nanofluid and conventional silver water (Ag-H2O) nanofluid. The graphs were created by the temperature, velocity, and entropy profiles. to analyse the impact on governing parameters. These skin friction and heat transfer rates are analysed through regression analysis. The important allegation expressed by the hybrid Nanofluid has the best heat transfer rate, which is related to convectional nanofluid. Further, It raised the Brinkman number and Reynolds number and developed a total entropy of the structure.
{"title":"Irreversibility analysis for the EMHD flow of silver and magnesium oxide hybrid nanofluid due to nonlinear thermal radiation","authors":"Kotha Gangadhar, E. Mary Victoria, Abderrahim Wakif","doi":"10.1142/s0217984924503378","DOIUrl":"https://doi.org/10.1142/s0217984924503378","url":null,"abstract":"<p>Hybrid nanofluids were expressed by heat-transfer fluids into greater surface dispersion capabilities, stability and diffusion related for traditional nanofluids. The effort on the flow of volumetric entropy generation and convective heat transport of MHD hybrid nanofluid is considered. Hybrid nanofluid involves the field over the orderly stretchable surface for variable heat flux with the resistance of electric field. Effect on convective heating and nonlinear thermal radiation is again contained in the interpreted figure. Mathematical equations such as momentum, energy, conservation of mass and entropy were collected as conversion to governing partial differential equations by ordinary differential equations, utilizing similarity variables. An efficient finite element method (FEM) is used. Numerical calculations were accomplished for silver–magnesium oxide water (Ag-MgO/H<sub>2</sub>O) hybrid nanofluid and conventional silver water (Ag-H<sub>2</sub>O) nanofluid. The graphs were created by the temperature, velocity, and entropy profiles. to analyse the impact on governing parameters. These skin friction and heat transfer rates are analysed through regression analysis. The important allegation expressed by the hybrid Nanofluid has the best heat transfer rate, which is related to convectional nanofluid. Further, It raised the Brinkman number and Reynolds number and developed a total entropy of the structure.</p>","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":"2011 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140316979","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 : 2024-03-27DOI: 10.1142/s0217984924503408
Najva Aminakbari, Yongyi Gu, Guoqiang Dang
In this paper, we study the Fokas–Lenells equation, which is a derivation form of the nonlinear Schrödinger equation and can be used to describe nonlinearity in the propagation of optical pulses. To seek solutions for this nonlinearity, the Logistic method has been proposed in order to drive acceptable and understandable results regarding physical meaning. This method is defined based on the summation of an ordinary differential equation. Moreover, for further study, the Bernoulli -expansion method is used by considering hypothetical solutions as a function of the Bernoulli equation. Subsequently, solutions of the Fokas–Lenells equation are successfully acquired, displaying efficient results in hyperbolic, trigonometric, and exponential equations. The importance of these results appears in the definition of the wave function under the consideration of the appropriate coefficients. Hence, computer simulation is used for better understanding of the generated results. The dynamic behaviors of these solutions are demonstrated in 3D graphs, contour maps, and line plots, under applying various parameters, solutions of the waves show different soliton behaviors, including bright-dark, bright, and breather solitons. The results indicate that the exerted methods are novel, reliable, and effective approaches which can be employed in a wide range of nonlinear differential equations. These methods and their begotten results are far from the complexities of mathematical structures and therefore go beyond previous efforts in the literature.
{"title":"Study on soliton behaviors of the complex nonlinear Fokas–Lenells equation utilizing different methods","authors":"Najva Aminakbari, Yongyi Gu, Guoqiang Dang","doi":"10.1142/s0217984924503408","DOIUrl":"https://doi.org/10.1142/s0217984924503408","url":null,"abstract":"<p>In this paper, we study the Fokas–Lenells equation, which is a derivation form of the nonlinear Schrödinger equation and can be used to describe nonlinearity in the propagation of optical pulses. To seek solutions for this nonlinearity, the Logistic method has been proposed in order to drive acceptable and understandable results regarding physical meaning. This method is defined based on the summation of an ordinary differential equation. Moreover, for further study, the Bernoulli <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mo stretchy=\"false\">(</mo><msup><mrow><mi>F</mi></mrow><mrow><mi>′</mi></mrow></msup><mo stretchy=\"false\">/</mo><mi>F</mi><mo stretchy=\"false\">)</mo></math></span><span></span>-expansion method is used by considering hypothetical solutions as a function of the Bernoulli equation. Subsequently, solutions of the Fokas–Lenells equation are successfully acquired, displaying efficient results in hyperbolic, trigonometric, and exponential equations. The importance of these results appears in the definition of the wave function under the consideration of the appropriate coefficients. Hence, computer simulation is used for better understanding of the generated results. The dynamic behaviors of these solutions are demonstrated in 3D graphs, contour maps, and line plots, under applying various parameters, solutions of the waves show different soliton behaviors, including bright-dark, bright, and breather solitons. The results indicate that the exerted methods are novel, reliable, and effective approaches which can be employed in a wide range of nonlinear differential equations. These methods and their begotten results are far from the complexities of mathematical structures and therefore go beyond previous efforts in the literature.</p>","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":"67 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140311551","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}
In this study, hydroxyapatite (HA) was extracted from biological waste. HA was modified by N,N-diglycidylaniline (NDY) and DOPO-HQ to obtain the flame retardant which was added to epoxy resin (EP) to prepare the composite. The flame retardancy of the composites was measured by the horizontal and vertical combustion tester (UL-94) and the limiting oxygen index (LOI), the thermal property was carried out by the thermogravimetric analyzer (TGA), and the surface morphology was observed by the field emission scanning electron microscope (SEM). The UL-94 grade of pure EP is a fail grade, and the LOI value was 22%. After adding HA-NDY-DOPOHQ (weight ratio 1:2:1) 40wt.% flame retardant, the UL-94 grade of the composites was raised to V-1, and the LOI value promoted to 28%, a total increase of 6%. Composite materials had excellent thermal stability and flame retardancy and could be used in fireproof panels for energy storage systems to prevent thermal runaway, and could also be used in building materials.
{"title":"Study on flame retardant properties of epoxy composites using circular economy material hydroxyapatite combined with DOPO-HQ","authors":"Ming-Yuan Shen, Chen-Feng Kuan, Hsu-Chiang Kuan, Lu-Ying Lin, Chin-Lung Chiang","doi":"10.1142/s0217984924410045","DOIUrl":"https://doi.org/10.1142/s0217984924410045","url":null,"abstract":"<p>In this study, hydroxyapatite (HA) was extracted from biological waste. HA was modified by <i>N</i>,<i>N</i>-diglycidylaniline (NDY) and DOPO-HQ to obtain the flame retardant which was added to epoxy resin (EP) to prepare the composite. The flame retardancy of the composites was measured by the horizontal and vertical combustion tester (UL-94) and the limiting oxygen index (LOI), the thermal property was carried out by the thermogravimetric analyzer (TGA), and the surface morphology was observed by the field emission scanning electron microscope (SEM). The UL-94 grade of pure EP is a fail grade, and the LOI value was 22%. After adding HA-NDY-DOPOHQ (weight ratio 1:2:1) 40<span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>wt.% flame retardant, the UL-94 grade of the composites was raised to V-1, and the LOI value promoted to 28%, a total increase of 6%. Composite materials had excellent thermal stability and flame retardancy and could be used in fireproof panels for energy storage systems to prevent thermal runaway, and could also be used in building materials.</p>","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":"2015 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140200810","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 : 2024-03-23DOI: 10.1142/s0217984924503251
Hengchun Hu, Yunman Tian
In this paper, the extended (3+1)-dimensional potential KP equation in fluid mechanics is studied through Hirota bilinear method. Many types of hybrid solutions, such as the lump–kink solution, lump-two kink solution and periodic lump solution are obtained by assuming different functions in the bilinear equation. The interaction solution between lump and triangular periodic wave is also derived by combining sine and cosine functions with quadratic functions. Dynamical structures of these exact solutions are depicted by presenting the corresponding three-dimensional, two-dimensional structures and density graphs. These diverse interaction solutions could be helpful for understanding physical phenomena in fluid mechanics.
{"title":"Lump–kink and hybrid solutions of the extended (3+1)-dimensional potential KP equation in fluid mechanics","authors":"Hengchun Hu, Yunman Tian","doi":"10.1142/s0217984924503251","DOIUrl":"https://doi.org/10.1142/s0217984924503251","url":null,"abstract":"<p>In this paper, the extended (3+1)-dimensional potential KP equation in fluid mechanics is studied through Hirota bilinear method. Many types of hybrid solutions, such as the lump–kink solution, lump-two kink solution and periodic lump solution are obtained by assuming different functions in the bilinear equation. The interaction solution between lump and triangular periodic wave is also derived by combining sine and cosine functions with quadratic functions. Dynamical structures of these exact solutions are depicted by presenting the corresponding three-dimensional, two-dimensional structures and density graphs. These diverse interaction solutions could be helpful for understanding physical phenomena in fluid mechanics.</p>","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":"42 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140298071","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 : 2024-03-23DOI: 10.1142/s0217984924410094
Jae-Wan Choi, Woo-Hyuk Son, Yun-Hae Kim, Sung-Youl Bae
In this study, we investigated the impact of adding Triphenylphosphine (TPP) at concentrations of 1wt.%, 3wt.%, and 5wt.% to an epoxy-anhydride system that displays, a degradation in mechanical properties at high temperatures. We conducted an analysis of cure behavior using differential scanning calorimetry and evaluated flexural, shear, and tensile strengths at room temperature. To assess heat resistance, CFRP specimens were exposed to 100∘C for 1h, and tensile strengths were subsequently measured. The addition of 3wt.% TPP resulted in a 5min reduction in the time required to reach a 95% degree of cure, but it was observed that mechanical properties at room temperature were compromised. CFRP exposed to 100∘C indicated that an increase in TPP content helped mitigate the degradation of mechanical properties.
{"title":"Effect of triphenylphosphine addition for the fast curing epoxy-anhydride CFRP system","authors":"Jae-Wan Choi, Woo-Hyuk Son, Yun-Hae Kim, Sung-Youl Bae","doi":"10.1142/s0217984924410094","DOIUrl":"https://doi.org/10.1142/s0217984924410094","url":null,"abstract":"<p>In this study, we investigated the impact of adding Triphenylphosphine (TPP) at concentrations of 1<span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>wt.%, 3<span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>wt.%, and 5<span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>wt.% to an epoxy-anhydride system that displays, a degradation in mechanical properties at high temperatures. We conducted an analysis of cure behavior using differential scanning calorimetry and evaluated flexural, shear, and tensile strengths at room temperature. To assess heat resistance, CFRP specimens were exposed to 100<sup>∘</sup>C for 1<span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>h, and tensile strengths were subsequently measured. The addition of 3<span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>wt.% TPP resulted in a 5<span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>min reduction in the time required to reach a 95% degree of cure, but it was observed that mechanical properties at room temperature were compromised. CFRP exposed to 100<sup>∘</sup>C indicated that an increase in TPP content helped mitigate the degradation of mechanical properties.</p>","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":"85 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140200806","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 : 2024-03-23DOI: 10.1142/s0217984924503214
Wei-Feng Wu
I theoretically construct a kind of new angular momentum coherent states by virtue of the nonlinear Bose SU(2) generators, and investigate their nonclassicality by analyzing the sub-Poissonian distributions, photon number distributions, entanglement entropy and Wigner phase-space distributions. The results show that the new states always have the sub-Poissonian distributions for all of the photon number sum of two modes, the photon number distributions are subjected to the parameter q, and the entanglement always increases quickly and then decreases slowly with increasing , and the new states for odd q possess more stronger nonclassicality than for even q.
{"title":"New angular momentum coherent states via the nonlinear Bose SU(2) generators and their nonclassical behaviors","authors":"Wei-Feng Wu","doi":"10.1142/s0217984924503214","DOIUrl":"https://doi.org/10.1142/s0217984924503214","url":null,"abstract":"<p>I theoretically construct a kind of new angular momentum coherent states by virtue of the nonlinear Bose SU(2) generators, and investigate their nonclassicality by analyzing the sub-Poissonian distributions, photon number distributions, entanglement entropy and Wigner phase-space distributions. The results show that the new states always have the sub-Poissonian distributions for all of the photon number sum <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>n</mi></mrow><mrow><mi>a</mi></mrow></msub><mo>+</mo><msub><mrow><mi>n</mi></mrow><mrow><mi>b</mi></mrow></msub><mo>=</mo><mi>q</mi></math></span><span></span> of two modes, the photon number distributions are subjected to the parameter <i>q</i>, and the entanglement always increases quickly and then decreases slowly with increasing <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mi>ς</mi></math></span><span></span>, and the new states for odd <i>q</i> possess more stronger nonclassicality than for even <i>q</i>.</p>","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":"1 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140297858","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 : 2024-03-23DOI: 10.1142/s0217984924502920
C. V. Darshan Kumar, D. G. Prakasha, P. Veeresha, Mamta Kapoor
In this paper, we examine the time-dependent two-dimensional cable equation of fractional order in terms of the Caputo fractional derivative. This cable equation plays a vital role in diverse areas of electrophysiology and modeling neuronal dynamics. This paper conveys a precise semi-analytical method called the q-homotopy analysis transform method to solve the fractional cable equation. The proposed method is based on the conjunction of the q-homotopy analysis method and Laplace transform. We explained the uniqueness of the solution produced by the suggested method with the help of Banach’s fixed-point theory. The results obtained through the considered method are in the form of a series solution, and they converge rapidly. The obtained outcomes were in good agreement with the exact solution and are discussed through the 3D plots and graphs that express the physical representation of the considered equation. It shows that the proposed technique used here is reliable, well-organized and effective in analyzing the considered non-homogeneous fractional differential equations arising in various branches of science and engineering.
{"title":"A homotopy-based computational scheme for two-dimensional fractional cable equation","authors":"C. V. Darshan Kumar, D. G. Prakasha, P. Veeresha, Mamta Kapoor","doi":"10.1142/s0217984924502920","DOIUrl":"https://doi.org/10.1142/s0217984924502920","url":null,"abstract":"<p>In this paper, we examine the time-dependent two-dimensional cable equation of fractional order in terms of the Caputo fractional derivative. This cable equation plays a vital role in diverse areas of electrophysiology and modeling neuronal dynamics. This paper conveys a precise semi-analytical method called the <i>q</i>-homotopy analysis transform method to solve the fractional cable equation. The proposed method is based on the conjunction of the <i>q</i>-homotopy analysis method and Laplace transform. We explained the uniqueness of the solution produced by the suggested method with the help of Banach’s fixed-point theory. The results obtained through the considered method are in the form of a series solution, and they converge rapidly. The obtained outcomes were in good agreement with the exact solution and are discussed through the 3D plots and graphs that express the physical representation of the considered equation. It shows that the proposed technique used here is reliable, well-organized and effective in analyzing the considered non-homogeneous fractional differential equations arising in various branches of science and engineering.</p>","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":"102 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140200655","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 : 2024-03-23DOI: 10.1142/s0217984924503159
S. Abed, H. Djaaboube, R. Aouati, A. Bouaballou, K. Bouchouit, A. Andrushchak, R. Wielgosz, S. Taboukhat, B. Sahraoui
Thin films of zinc oxide (ZnO) have unique properties that make them suitable for various applications. In this study, we used a spray pyrolysis process to develop undoped ZnO and ZnO doped with Sn thin films on a glass substrate. We aimed to investigate the effect of Sn concentration on the optical, nonlinear optical, and structural properties of ZnO:Sn thin films. X-ray diffraction analysis revealed that all the deposited ZnO thin films exhibit polycrystalline hexagonal structures well-oriented along the c-axis. The obtained films were transparent in the visible range, with a transmittance between 70% and 80%. The optical energy bandgap values for the films varied from 3.16 eV to 3.29 eV. We also determined the second- and third-order nonlinear susceptibilities, which decreased with increasing Sn concentration. We investigated the photocatalytic activity of the ZnO-doped Sn thin films using methylene blue dye under visible light. Sn doping enhanced the photocatalytic activity of ZnO thin films, with constant rate values of 0.00046 and 0.00074 min for ZnO and ZnO:Sn thin films, respectively.
氧化锌(ZnO)薄膜具有独特的性能,因此适合各种应用。在本研究中,我们采用喷雾热解工艺在玻璃基底上制备了未掺杂氧化锌和掺杂锡的氧化锌薄膜。我们的目的是研究锡浓度对 ZnO:Sn 薄膜的光学、非线性光学和结构特性的影响。X 射线衍射分析表明,所有沉积的氧化锌薄膜都呈现出沿 c 轴取向良好的多晶六边形结构。所获得的薄膜在可见光范围内是透明的,透射率在 70% 到 80% 之间。薄膜的光能带隙值从 3.16 eV 到 3.29 eV 不等。我们还测定了二阶和三阶非线性感度,它们随着锡浓度的增加而降低。我们研究了掺杂锡的氧化锌薄膜在可见光下使用亚甲基蓝染料的光催化活性。掺杂锡增强了氧化锌薄膜的光催化活性,氧化锌薄膜和氧化锌:锡薄膜的恒定速率值分别为 0.00046 和 0.00074 min-1。
{"title":"Control of NLO and photocatalysis properties based on the use of Sn-doped ZnO thin films for optoelectronics applications","authors":"S. Abed, H. Djaaboube, R. Aouati, A. Bouaballou, K. Bouchouit, A. Andrushchak, R. Wielgosz, S. Taboukhat, B. Sahraoui","doi":"10.1142/s0217984924503159","DOIUrl":"https://doi.org/10.1142/s0217984924503159","url":null,"abstract":"<p>Thin films of zinc oxide (ZnO) have unique properties that make them suitable for various applications. In this study, we used a spray pyrolysis process to develop undoped ZnO and ZnO doped with Sn thin films on a glass substrate. We aimed to investigate the effect of Sn concentration on the optical, nonlinear optical, and structural properties of ZnO:Sn thin films. X-ray diffraction analysis revealed that all the deposited ZnO thin films exhibit polycrystalline hexagonal structures well-oriented along the <i>c</i>-axis. The obtained films were transparent in the visible range, with a transmittance between 70% and 80%. The optical energy bandgap values for the films varied from 3.16 eV to 3.29 eV. We also determined the second- and third-order nonlinear susceptibilities, which decreased with increasing Sn concentration. We investigated the photocatalytic activity of the ZnO-doped Sn thin films using methylene blue dye under visible light. Sn doping enhanced the photocatalytic activity of ZnO thin films, with constant rate values of 0.00046 and 0.00074 min<span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></math></span><span></span> for ZnO and ZnO:Sn thin films, respectively.</p>","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":"7 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140297786","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}