Pub Date : 2026-03-28Epub Date: 2026-01-16DOI: 10.1016/j.physleta.2026.131383
Q. Zou , J. Cheng , Z.B. Shi , Y. Xu , L.W. Yan , X. Chen , J. Chen , L. Liu , Z.H. Huang , N. Wu , W.C. Wang , R.X. Huang , Z.S. Shi , C.F. Dong , X.Q. Ji , W.L. Zhong
The effect of impurity ions on turbulence, mean and zonal flow dynamics has been studied in HL-2A ohmically-heated deuterium plasmas by a combined Langmuir probe array. Results show that the fluctuating level of geodesic acoustic mode (GAM) zonal flows has an obvious reduction, while the GAM frequency remains nearly unchanged after the impurity injection. Further analysis demonstrates that with impurity injection the GAM zonal flows gain less energy from the high frequency fluctuations in 300-500 kHz due to the reduction of eddies titling angle and shape stretched by E × B mean flow through the so-called vortex thinning process, concurrently the turbulent transport concentrated in 15-100 kHz increases, indicating that electrostatic fluctuations driving zonal flows and fluctuations responsible for the particle transport originate from different instabilities. These experimental results reveal the critical role of mean flow in mediating the inverse cascade from small scale turbulence to large scale zonal flows as well as its coupling with turbulent transport. This study could advance our understanding of fundamental physics on the multi-scale interaction and its implication for controlling turbulent transport through impurity ions in future fusion plasmas.
{"title":"Effect of impurity ions on interplay between turbulence, mean and zonal flows in toroidal magnetized plasmas","authors":"Q. Zou , J. Cheng , Z.B. Shi , Y. Xu , L.W. Yan , X. Chen , J. Chen , L. Liu , Z.H. Huang , N. Wu , W.C. Wang , R.X. Huang , Z.S. Shi , C.F. Dong , X.Q. Ji , W.L. Zhong","doi":"10.1016/j.physleta.2026.131383","DOIUrl":"10.1016/j.physleta.2026.131383","url":null,"abstract":"<div><div>The effect of impurity ions on turbulence, mean and zonal flow dynamics has been studied in HL-2A ohmically-heated deuterium plasmas by a combined Langmuir probe array. Results show that the fluctuating level of geodesic acoustic mode (GAM) zonal flows has an obvious reduction, while the GAM frequency remains nearly unchanged after the impurity injection. Further analysis demonstrates that with impurity injection the GAM zonal flows gain less energy from the high frequency fluctuations in 300-500 kHz due to the reduction of eddies titling angle and shape stretched by E × B mean flow through the so-called vortex thinning process, concurrently the turbulent transport concentrated in 15-100 kHz increases, indicating that electrostatic fluctuations driving zonal flows and fluctuations responsible for the particle transport originate from different instabilities. These experimental results reveal the critical role of <span><math><mrow><mi>E</mi><mo>×</mo><mi>B</mi></mrow></math></span> mean flow in mediating the inverse cascade from small scale turbulence to large scale zonal flows as well as its coupling with turbulent transport. This study could advance our understanding of fundamental physics on the multi-scale interaction and its implication for controlling turbulent transport through impurity ions in future fusion plasmas.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"573 ","pages":"Article 131383"},"PeriodicalIF":2.6,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146079990","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2026-03-28Epub Date: 2026-01-14DOI: 10.1016/j.physleta.2026.131373
Chuanfu Li , Haoxuan Li , Zhenjie Su , Honggang Zhang , Ping Wang , Liufang Chen , Yangshun Lan , Chunfeng Dong
One key characteristic of an intriguing moiré superlattice formed by interlayer-twisted bilayer material is the emergence of low-energy ultra-flat bands. The stability of such band flattening effect should be evaluated for practical applications. An interlayer-twisted α-In2Se3 bilayer with end-to-end antiferroelectric polarization (AFE-1-α-In2Se3 moiré superlattice) exhibits ultra-flat top valence band that is insensitive to the moiré period due to strong localization of electronic states near the interlayer interfaces. Here, we investigate the stability of the band flattening effect in AFE-1-α-In2Se3 moiré superlattice against In/Se vacancies, using a simple defect model based on first-principles calculations. The results reveal that the band flattening effect remains robust, although vacancies modulate the electronic states. This robustness primarily originates from negative charges localized near the interlayer interfaces, emphasizing the key role of interface-localized electronic states in sustaining band flattening effect and demonstrating the potential of such band flattening effect in AFE-1-α-In2Se3 moiré superlattice for practical applications.
{"title":"The stability of band flattening effect against In/Se vacancy in antiferroelectric α-In2Se3 bilayer moiré superlattice","authors":"Chuanfu Li , Haoxuan Li , Zhenjie Su , Honggang Zhang , Ping Wang , Liufang Chen , Yangshun Lan , Chunfeng Dong","doi":"10.1016/j.physleta.2026.131373","DOIUrl":"10.1016/j.physleta.2026.131373","url":null,"abstract":"<div><div>One key characteristic of an intriguing moiré superlattice formed by interlayer-twisted bilayer material is the emergence of low-energy ultra-flat bands. The stability of such band flattening effect should be evaluated for practical applications. An interlayer-twisted α-In<sub>2</sub>Se<sub>3</sub> bilayer with end-to-end antiferroelectric polarization (AFE-1-α-In<sub>2</sub>Se<sub>3</sub> moiré superlattice) exhibits ultra-flat top valence band that is insensitive to the moiré period due to strong localization of electronic states near the interlayer interfaces. Here, we investigate the stability of the band flattening effect in AFE-1-α-In<sub>2</sub>Se<sub>3</sub> moiré superlattice against In/Se vacancies, using a simple defect model based on first-principles calculations. The results reveal that the band flattening effect remains robust, although vacancies modulate the electronic states. This robustness primarily originates from negative charges localized near the interlayer interfaces, emphasizing the key role of interface-localized electronic states in sustaining band flattening effect and demonstrating the potential of such band flattening effect in AFE-1-α-In<sub>2</sub>Se<sub>3</sub> moiré superlattice for practical applications.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"573 ","pages":"Article 131373"},"PeriodicalIF":2.6,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145981956","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2026-03-28Epub Date: 2026-01-16DOI: 10.1016/j.physleta.2026.131347
Biao Fan , Mengjie Tong , Yuguo Su , Gabriel Ouma Paul , Francis Okoth Awiti , Elijah Omollo Ayieta , Szabolcs Kelemen , Feng Zhai , Junyan Luo
A deep understanding of coherent transport through a double quantum dot (DQD) is essential to the design of a quantum device. In this work, we investigate the nonequilibrium transport of particles and energy through a DQD by employing the full counting statistics framework, which is established based on a generalized quantum master equation (GQME) without the secular approximation. We demonstrate the unique advantage of our approach in the regime of small interdot couplings, where quantum coherence gives rise to a strong charge localization in the DQD, leading intriguingly to a prominent super-Poissonian noise. We reveal that the frequency-dependent noise of the energy current is a sensitive indicator of quantum coherence, which offers the possibility to identify the bath-induced or the tunnel coupling-induced decoherences. These findings highlight the importance of utilizing a GQME without the secular approximation for an appropriate description of energy and charge transport through DQD devices.
{"title":"Full counting statistics of charge and energy transport through a double quantum dot system beyond secular approximation","authors":"Biao Fan , Mengjie Tong , Yuguo Su , Gabriel Ouma Paul , Francis Okoth Awiti , Elijah Omollo Ayieta , Szabolcs Kelemen , Feng Zhai , Junyan Luo","doi":"10.1016/j.physleta.2026.131347","DOIUrl":"10.1016/j.physleta.2026.131347","url":null,"abstract":"<div><div>A deep understanding of coherent transport through a double quantum dot (DQD) is essential to the design of a quantum device. In this work, we investigate the nonequilibrium transport of particles and energy through a DQD by employing the full counting statistics framework, which is established based on a generalized quantum master equation (GQME) without the secular approximation. We demonstrate the unique advantage of our approach in the regime of small interdot couplings, where quantum coherence gives rise to a strong charge localization in the DQD, leading intriguingly to a prominent super-Poissonian noise. We reveal that the frequency-dependent noise of the energy current is a sensitive indicator of quantum coherence, which offers the possibility to identify the bath-induced or the tunnel coupling-induced decoherences. These findings highlight the importance of utilizing a GQME without the secular approximation for an appropriate description of energy and charge transport through DQD devices.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"573 ","pages":"Article 131347"},"PeriodicalIF":2.6,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146039614","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2026-03-28Epub Date: 2026-01-12DOI: 10.1016/j.physleta.2026.131364
Salma Alshehri , G.S. AlGhamdi , Fatmah A. Al-Marhaby , Dalal S. Bayahia , Badriah Sultan , M.D. Alshahrani , Saleha Qissi , Zaina S. Algarni , Faten A.M. Abdelaziz , Mohammad Shariq
This work investigates the dielectric, magnetic, and magneto-dielectric properties of the monoclinic bulk double perovskite Pr2NiMnO6 (PNMO) as a function of frequency and temperature. Below 100 K, the dielectric permittivity remains nearly frequency-independent, while increasing temperature gives rise to distinct relaxation peaks within 997 Hz to 997,999 Hz. The dielectric loss (tan δ) spectra display progressively enhanced peak intensities between 112 K and 197 K, revealing a frequency-dependent relaxation process. These sharp relaxation features indicate a relaxor-like dielectric behavior, primarily arising from molecular dipoles in PNMO. The relaxation dynamics are attributed to electron hopping between transition-metal ions, consistent with the Maxwell–Wagner interfacial polarization model. Cole–Cole fitting analysis further provides insights into dielectric strength, conductivity, and distribution parameters. The interplay of dielectric and magneto-dielectric responses underscores PNMO’s potential for multifunctional applications, including spintronic devices, sensors, and energy storage systems, where coupled electric and magnetic functionalities are desirable.
{"title":"Exploring magnetic, dielectric relaxation and magneto-dielectric coupling in monoclinic double perovskite Pr2NiMnO6","authors":"Salma Alshehri , G.S. AlGhamdi , Fatmah A. Al-Marhaby , Dalal S. Bayahia , Badriah Sultan , M.D. Alshahrani , Saleha Qissi , Zaina S. Algarni , Faten A.M. Abdelaziz , Mohammad Shariq","doi":"10.1016/j.physleta.2026.131364","DOIUrl":"10.1016/j.physleta.2026.131364","url":null,"abstract":"<div><div>This work investigates the dielectric, magnetic, and magneto-dielectric properties of the monoclinic bulk double perovskite Pr<sub>2</sub>NiMnO<sub>6</sub> (PNMO) as a function of frequency and temperature. Below 100 K, the dielectric permittivity remains nearly frequency-independent, while increasing temperature gives rise to distinct relaxation peaks within 997 Hz to 997,999 Hz. The dielectric loss (tan δ) spectra display progressively enhanced peak intensities between 112 K and 197 K, revealing a frequency-dependent relaxation process. These sharp relaxation features indicate a relaxor-like dielectric behavior, primarily arising from molecular dipoles in PNMO. The relaxation dynamics are attributed to electron hopping between transition-metal ions, consistent with the Maxwell–Wagner interfacial polarization model. Cole–Cole fitting analysis further provides insights into dielectric strength, conductivity, and distribution parameters. The interplay of dielectric and magneto-dielectric responses underscores PNMO’s potential for multifunctional applications, including spintronic devices, sensors, and energy storage systems, where coupled electric and magnetic functionalities are desirable.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"573 ","pages":"Article 131364"},"PeriodicalIF":2.6,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146039615","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2026-03-28Epub Date: 2026-01-13DOI: 10.1016/j.physleta.2026.131369
Pengfei Wu , Zetong Wang , Sichen Lei , Xiaofan Wang , Zhenkun Tan , Jiao Wang , Yiwei Sun
To address the mode recognition challenges of fractional cylindrical vector beams (FCVBs) under atmospheric turbulence, including spot diffusion, uneven energy distribution, deformation of ring or stripe structures, and strong similarity between conjugate fractional orders, a model named FMSTA-Net is proposed. This network, combined with a Multi-Scale Turbulence-Aware Attention (MSTA) module, which innovatively integrates hierarchical feature extraction across point, local, medium-range, and global scales, effectively captures both fine-grained distortions and global structural dependencies under varying turbulence conditions. Experimental results demonstrate that, under six atmospheric turbulence levels with refractive index structure constants ranging from to , the model achieves a recognition accuracy of 99.3 % for FCVBs within the OAM range of [±3.1, ±4.0] transmitted over a distance of 1000 meters. In classification tasks with order intervals of 0.05 and 0.15, accuracies of 96.4 % and 98.4 %, respectively, are achieved. Furthermore, on additional test sets at transmission distances of 750 m and 1250 m, FMSTA-Net attains recognition accuracies of 99.2 % and 95.4 %, demonstrating excellent generalization capability and robustness for practical deployment in turbulent atmospheric channels.
{"title":"FMSTA-Net: Fractional mode recognition of cylindrical vector beams via multi-scale turbulence-aware learning and polarization analysis","authors":"Pengfei Wu , Zetong Wang , Sichen Lei , Xiaofan Wang , Zhenkun Tan , Jiao Wang , Yiwei Sun","doi":"10.1016/j.physleta.2026.131369","DOIUrl":"10.1016/j.physleta.2026.131369","url":null,"abstract":"<div><div>To address the mode recognition challenges of fractional cylindrical vector beams (FCVBs) under atmospheric turbulence, including spot diffusion, uneven energy distribution, deformation of ring or stripe structures, and strong similarity between conjugate fractional orders, a model named FMSTA-Net is proposed. This network, combined with a Multi-Scale Turbulence-Aware Attention (MSTA) module, which innovatively integrates hierarchical feature extraction across point, local, medium-range, and global scales, effectively captures both fine-grained distortions and global structural dependencies under varying turbulence conditions. Experimental results demonstrate that, under six atmospheric turbulence levels with refractive index structure constants ranging from <span><math><mrow><msubsup><mi>C</mi><mi>n</mi><mn>2</mn></msubsup><mo>=</mo><mn>1</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>16</mn></mrow></msup><msup><mrow><mi>m</mi></mrow><mrow><mo>−</mo><mn>2</mn><mo>/</mo><mn>3</mn></mrow></msup></mrow></math></span> to <span><math><mrow><msubsup><mi>C</mi><mi>n</mi><mn>2</mn></msubsup><mo>=</mo><mn>5</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>14</mn></mrow></msup><msup><mrow><mi>m</mi></mrow><mrow><mo>−</mo><mn>2</mn><mo>/</mo><mn>3</mn></mrow></msup></mrow></math></span>, the model achieves a recognition accuracy of 99.3 % for FCVBs within the OAM range of [±3.1, ±4.0] transmitted over a distance of 1000 meters. In classification tasks with order intervals of 0.05 and 0.15, accuracies of 96.4 % and 98.4 %, respectively, are achieved. Furthermore, on additional test sets at transmission distances of 750 m and 1250 m, FMSTA-Net attains recognition accuracies of 99.2 % and 95.4 %, demonstrating excellent generalization capability and robustness for practical deployment in turbulent atmospheric channels.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"573 ","pages":"Article 131369"},"PeriodicalIF":2.6,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145981952","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2026-03-28Epub Date: 2026-01-15DOI: 10.1016/j.physleta.2026.131372
Chen Wang, Shi-Fan Qi
In this work, we propose a two-mode squeezing generation scheme in a hybrid three-mode cavity optomechanical system, where a mechanical resonator couples to two microwave (or optical) photon modes. By applying modulated strong drives, we derive an effective Hamiltonian that describes mechanically mediated two-photon squeezing, which is validated by diagonalizing the system’s transition matrix in the Heisenberg picture. Our analysis reveals that stable two-mode squeezing can be achieved by optimizing the squeezing operator even in unsteady-state dynamics, with the squeezing level exceeding the maximum achievable under system stability conditions while maintaining the anti-squeezing at a proper level within a suitable time interval. Furthermore, we show that our protocol is robust against systematic errors in both driving intensity and frequency, as well as against thermal Markovian noises. Our work presents an extendable approach for generating two-mode squeezed states between indirectly coupled bosonic modes.
{"title":"Dynamically stable two-mode squeezing in cavity optomechanics","authors":"Chen Wang, Shi-Fan Qi","doi":"10.1016/j.physleta.2026.131372","DOIUrl":"10.1016/j.physleta.2026.131372","url":null,"abstract":"<div><div>In this work, we propose a two-mode squeezing generation scheme in a hybrid three-mode cavity optomechanical system, where a mechanical resonator couples to two microwave (or optical) photon modes. By applying modulated strong drives, we derive an effective Hamiltonian that describes mechanically mediated two-photon squeezing, which is validated by diagonalizing the system’s transition matrix in the Heisenberg picture. Our analysis reveals that stable two-mode squeezing can be achieved by optimizing the squeezing operator even in unsteady-state dynamics, with the squeezing level exceeding the maximum achievable under system stability conditions while maintaining the anti-squeezing at a proper level within a suitable time interval. Furthermore, we show that our protocol is robust against systematic errors in both driving intensity and frequency, as well as against thermal Markovian noises. Our work presents an extendable approach for generating two-mode squeezed states between indirectly coupled bosonic modes.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"573 ","pages":"Article 131372"},"PeriodicalIF":2.6,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145981951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2026-03-28Epub Date: 2026-01-09DOI: 10.1016/j.physleta.2026.131350
Asma Al-Qasimi
In an experiment involving multiple independent trials of a simple two-outcome random process, such as tossing a coin, it is well-known that the cumulative result is described by the binomial probability distribution. In a quantum mechanical version, in which the coins are replaced by identical independent qubits, the same distribution will describe the cumulative outcomes, and it is intuitive that quantum entanglement is not present, otherwise the outcomes of measurements on different qubits will be correlated, and the trials will no longer be independent. Here, we examine whether such assumptions are valid, and find that maximally entangled qubit states, symmetric under interchange of any pair of qubits (specifically, they are eigenvectors of the SWAP operator with eigenvalue ), can also give a binomially distributed outcome.
{"title":"Pascal’s triangle and quantum entanglement","authors":"Asma Al-Qasimi","doi":"10.1016/j.physleta.2026.131350","DOIUrl":"10.1016/j.physleta.2026.131350","url":null,"abstract":"<div><div>In an experiment involving multiple independent trials of a simple two-outcome random process, such as tossing a coin, it is well-known that the cumulative result is described by the binomial probability distribution. In a quantum mechanical version, in which the coins are replaced by identical independent qubits, the same distribution will describe the cumulative outcomes, and it is intuitive that quantum entanglement is not present, otherwise the outcomes of measurements on different qubits will be correlated, and the trials will no longer be independent. Here, we examine whether such assumptions are valid, and find that maximally entangled qubit states, symmetric under interchange of any pair of qubits (specifically, they are eigenvectors of the SWAP operator with eigenvalue <span><math><mrow><mo>+</mo><mn>1</mn></mrow></math></span>), can also give a binomially distributed outcome.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"573 ","pages":"Article 131350"},"PeriodicalIF":2.6,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146039613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2026-03-28Epub Date: 2026-01-10DOI: 10.1016/j.physleta.2026.131351
Richard Beals , Jacek Szmigielski
We extend the Euler-Bernoulli beam problem, formulated as a matrix string equation with a matrix-valued density, to a setting where the density takes values in a Clifford algebra, and we analyze its isospectral deformations. For discrete densities, we prove that the associated matrix Weyl function admits a Stieltjes-type continued fraction expansion with Clifford-valued coefficients. By mapping the problem from the finite interval to the real line, we uncover a direct link to a multi-component generalization of the Camassa-Holm equation. This yields a vectorized form of the Camassa-Holm equation invariant under arbitrary orthogonal group actions. As an illustration, we examine the dynamics of a two-atom (two-peakon) matrix measure in the special case of a Clifford algebra with two generators and Minkowski signature. Our analysis shows that, even when peakon waves remain spatially separated, they can engage in long-range, synchronized energy exchange.
{"title":"A generalization of the beam problem: Connection to multi-component Camassa-Holm dynamics","authors":"Richard Beals , Jacek Szmigielski","doi":"10.1016/j.physleta.2026.131351","DOIUrl":"10.1016/j.physleta.2026.131351","url":null,"abstract":"<div><div>We extend the Euler-Bernoulli beam problem, formulated as a matrix string equation with a matrix-valued density, to a setting where the density takes values in a Clifford algebra, and we analyze its isospectral deformations. For discrete densities, we prove that the associated matrix Weyl function admits a Stieltjes-type continued fraction expansion with Clifford-valued coefficients. By mapping the problem from the finite interval to the real line, we uncover a direct link to a multi-component generalization of the Camassa-Holm equation. This yields a vectorized form of the Camassa-Holm equation invariant under arbitrary orthogonal group actions. As an illustration, we examine the dynamics of a two-atom (two-peakon) matrix measure in the special case of a Clifford algebra with two generators and Minkowski signature. Our analysis shows that, even when peakon waves remain spatially separated, they can engage in long-range, synchronized energy exchange.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"573 ","pages":"Article 131351"},"PeriodicalIF":2.6,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146039611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2026-03-28Epub Date: 2026-01-14DOI: 10.1016/j.physleta.2026.131368
Duong Dai Phuong , Hua Xuan Dat
Beryllium (Be) is an alkaline earth metal that plays an important role in the aerospace and nuclear industries. Today, with advanced and modern technology, scientists have discovered that Be exists in two phases: body-centred cubic (BCC) and hexagonal close-packed (HCP). The BCC - Be is stable under extreme conditions up to 1000 GPa. The phase transition pressure of Be from the hexagonal close-packed (HCP) structure to the body-centred cubic (BCC) structure occurs within the range of 386 GPa at T = 300 K. Here, we use the statistical moment method to construct the equation of state and the multiphase thermodynamic properties of Be at high pressures. And, we determine the phase-transition pressure of Be through the Gibbs thermodynamic potential, along with structural and thermodynamic quantities such as density, volume, thermal expansion coefficient, entropy, isochoric and isobaric heat capacities, and the Debye temperature of Be, while fully accounting for the influence of anharmonic effects. Combined with the Lindemann criterion, we calculate and determine the solid-liquid phase transition boundary of Be up to 600 GPa. Our computational results are of particular significance for research programs related to the thermonuclear applications of beryllium and the development of Tokamak devices.
{"title":"The phase transition and thermodynamic properties of beryllium at high temperatures and pressures","authors":"Duong Dai Phuong , Hua Xuan Dat","doi":"10.1016/j.physleta.2026.131368","DOIUrl":"10.1016/j.physleta.2026.131368","url":null,"abstract":"<div><div>Beryllium (Be) is an alkaline earth metal that plays an important role in the aerospace and nuclear industries. Today, with advanced and modern technology, scientists have discovered that Be exists in two phases: body-centred cubic (BCC) and hexagonal close-packed (HCP). The BCC - Be is stable under extreme conditions up to 1000 GPa. The phase transition pressure of Be from the hexagonal close-packed (HCP) structure to the body-centred cubic (BCC) structure occurs within the range of 386 GPa at <em>T</em> = 300 K. Here, we use the statistical moment method to construct the equation of state and the multiphase thermodynamic properties of Be at high pressures. And, we determine the phase-transition pressure of Be through the Gibbs thermodynamic potential, along with structural and thermodynamic quantities such as density, volume, thermal expansion coefficient, entropy, isochoric and isobaric heat capacities, and the Debye temperature of Be, while fully accounting for the influence of anharmonic effects. Combined with the Lindemann criterion, we calculate and determine the solid-liquid phase transition boundary of Be up to 600 GPa. Our computational results are of particular significance for research programs related to the thermonuclear applications of beryllium and the development of Tokamak devices.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"573 ","pages":"Article 131368"},"PeriodicalIF":2.6,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146039609","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2026-03-28Epub Date: 2026-01-14DOI: 10.1016/j.physleta.2026.131341
Muhammad Hamza Rafiq , Muhammad Naveed Rafiq , Ji Lin
Nonlinear localized structures have attracted considerable attention in various physical fields, such as nonlinear optics, Bose-Einstein condensates and fluid dynamics. This study aims to establish the breather, soliton-breather interaction, higher-order smooth positons and breather positons from the N-soliton solutions of nonlocal Boussinesq equations with the Hirota bilinear method through a limiting approach. To extend this, theoretical results are confirmed by the graphical illustration using surface, density and line plots under relevant parameter values, highlighting their dynamical behavior and order of structure. Moreover, the effect of the physical parameter is studied, demonstrating that the localized wave packets switch their phase shift in response to variations in amplitude and spatial intensity. These findings are original and novel for the nonlocal Boussinesq equations in shallow water applications and these are the motivations for this work.
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