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Vortex lattices in two-dimensional ferromagnets 二维铁磁体中的涡旋晶格
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-04-23 DOI: 10.1134/S0040577926040070
A. B. Borisov, D. V. Dolgikh
{"title":"Vortex lattices in two-dimensional ferromagnets","authors":"A. B. Borisov,&nbsp;D. V. Dolgikh","doi":"10.1134/S0040577926040070","DOIUrl":"10.1134/S0040577926040070","url":null,"abstract":"<p> We apply methods of classical differential geometry to integrate the two-dimensional Heisenberg model. We formulate the model equations using the metric tensor and its derivatives, associated with a curvilinear coordinate system obtained via the hodograph transformation. We find a solution for the metric tensor depending on two variables. Based on this solution, we predict and analyze a new type of magnetic structure, the “vortex ring” in a two-dimensional ferromagnet. Its distinctive features include a finite region of existence, finite total energy, and the absence of a vortex core despite the presence of a vortex structure. Finally, we derive various types of vortex lattices through conformal transformations of the vortex ring using Jacobi and Weierstrass elliptic functions. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 1","pages":"658 - 674"},"PeriodicalIF":1.1,"publicationDate":"2026-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147733140","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}
引用次数: 0
Path integrals on a manifold that is the product of the total space of a principal fiber bundle and a vector space 流形上的路径积分，流形是一个主纤维束的总空间和一个向量空间的乘积
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-04-23 DOI: 10.1134/S004057792604001X
S. N. Storchak
{"title":"Path integrals on a manifold that is the product of the total space of a principal fiber bundle and a vector space","authors":"S. N. Storchak","doi":"10.1134/S004057792604001X","DOIUrl":"10.1134/S004057792604001X","url":null,"abstract":"<p> The path integral reduction procedure—a transformation describing the transition from an original Wiener-type path integral to a path integral for a reduced dynamical system—is extended to path integrals of a special mechanical system with symmetry, considered as a model for the Yang–Mills field interacting with a scalar field. The mechanical system is defined on a smooth compact Riemannian product manifold consisting of the total space of the principal fiber bundle and a vector space. The original manifold is endowed with a free, proper, and isometric action of a compact semisimple Lie group. The factorization of the path integral measure within the reduction procedure is based on using the optimal nonlinear filtering equation from stochastic theory. For the reduction of the system corresponding to the transition to the zero-momentum level, the Jacobian of the path integral reduction is obtained. Its geometric representation follows from the formula for the scalar curvature of a manifold with the Kaluza–Klein metric. An integral relation between the path integrals representing the fundamental solutions of the parabolic equations on initial and reduced manifolds is derived. An example demonstrating the application of the obtained reduction procedure in the path integral to a simple mechanical system is provided. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 1","pages":"559 - 591"},"PeriodicalIF":1.1,"publicationDate":"2026-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147733137","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}
引用次数: 0
Friction in macroscopic tunneling 宏观隧道开挖中的摩擦力
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-04-23 DOI: 10.1134/S0040577926040082
V. P. Krainov
{"title":"Friction in macroscopic tunneling","authors":"V. P. Krainov","doi":"10.1134/S0040577926040082","DOIUrl":"10.1134/S0040577926040082","url":null,"abstract":"<p> Macroscopic tunneling of Cooper pairs of electrons in a system of two superconductors separated by an insulator was modeled by Caldeira and Leggett by quantum-mechanical motion of a particle through the potential barrier. Friction (conductivity of the Josephson contact in experiments) was modeled by a one-dimensional phonon thermostat that interacts with the particle. Then the tunneling exponent was expressed in terms of the friction coefficient determined by the thermostat parameters. Alternatively, we propose a direct introduction of the friction coefficient into a classical action in the tunneling exponent using the method of imaginary time. As a result, the numerical coefficient of the classical friction contribution to the tunneling exponent is obtained. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 1","pages":"675 - 679"},"PeriodicalIF":1.1,"publicationDate":"2026-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147733141","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}
引用次数: 0
Spectral properties of two-dimensional half-space semi-Dirac semi-metals 二维半空间半狄拉克半金属的光谱性质
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-04-23 DOI: 10.1134/S0040577926040100
T. Vu
{"title":"Spectral properties of two-dimensional half-space semi-Dirac semi-metals","authors":"T. Vu","doi":"10.1134/S0040577926040100","DOIUrl":"10.1134/S0040577926040100","url":null,"abstract":"<p> We consider the semi-Dirac operator in a half-space arising in the description of quasi-particles in quantum mechanics as well as in semi-metal materials and related structures. We prove the self-adjointness, compute the formula for the square, and determine the spectrum of the operator. We additionally set up necessary and sufficient conditions for the existence of a discrete energy spectrum by including some appropriate purely magnetic and electromagnetic potentials and study the spectral stability properties for perturbed operators. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 1","pages":"705 - 719"},"PeriodicalIF":1.1,"publicationDate":"2026-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147733142","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}
引用次数: 0
Keldysh diagram technique with non-Gaussian initial correlations 非高斯初始相关的Keldysh图技术
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-04-23 DOI: 10.1134/S0040577926040094
A. G. Mikhaylenko, A. G. Semenov
{"title":"Keldysh diagram technique with non-Gaussian initial correlations","authors":"A. G. Mikhaylenko,&nbsp;A. G. Semenov","doi":"10.1134/S0040577926040094","DOIUrl":"10.1134/S0040577926040094","url":null,"abstract":"<p> We modify the nonequilibrium Keldysh diagram technique to systematically account for non-Gaussian initial correlations. We represent information about the initial state of the system as an additional term in the Keldysh action, which is expressed in terms of the cumulants of the initial Wigner functional. This additional term leads to the appearance of additional vertices in the diagram technique. We study the role of non-Gaussian initial correlations in the further evolution of correlation functions. In particular, we show that the presence of non-Gaussian correlations of odd order leads to the generation of a mean field. We obtain Dyson equations with partially resummed self-energies and prove that diagrams with a finite number of loops contain a finite number of non-Gaussian cumulants of the initial Wigner functional. We apply the modified diagram technique to the description of the evolution of a scalar field after a quench and show that in the limit of short interaction times this technique leads to exact results. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 1","pages":"680 - 704"},"PeriodicalIF":1.1,"publicationDate":"2026-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147733146","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}
引用次数: 0
Rogue waves for the complex short pulse equation on the Jacobian elliptic function background 雅可比椭圆函数背景下复杂短脉冲方程的流氓波
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-04-23 DOI: 10.1134/S0040577926040069
Hui Mao
{"title":"Rogue waves for the complex short pulse equation on the Jacobian elliptic function background","authors":"Hui Mao","doi":"10.1134/S0040577926040069","DOIUrl":"10.1134/S0040577926040069","url":null,"abstract":"<p> This paper employs a synthesis of the Darboux transformation (DT) and nonlinearization to construct rogue waves for the complex short pulse (cSP) equation on the Jacobian elliptic functions <span>(mathrm{dn})</span> and <span>(mathrm{cn})</span> background. We first derive two seed solutions for the associated complex short pulse (acSP) equation, expressed in terms of the Jacobian elliptic functions <span>(mathrm{dn})</span> and <span>(mathrm{cn})</span>, respectively. Suitable eigenvalues and their corresponding periodic and nonperiodic eigenfunctions are then determined. By applying the DT to these seed solutions, rogue wave solutions for the cSP equation on the Jacobian elliptic dn function and cn function background are obtained. As illustrative examples, specific rogue wave profiles on the elliptic function background and their dynamical features are presented graphically. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 1","pages":"645 - 657"},"PeriodicalIF":1.1,"publicationDate":"2026-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147733139","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}
引用次数: 0
Dunkl-corrected deformation of RN–AdS black hole thermodynamics RN-AdS黑洞热力学的dunkl修正变形
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-04-23 DOI: 10.1134/S0040577926040112
M. Jemri
{"title":"Dunkl-corrected deformation of RN–AdS black hole thermodynamics","authors":"M. Jemri","doi":"10.1134/S0040577926040112","DOIUrl":"10.1134/S0040577926040112","url":null,"abstract":"<p> In this work, we derive a new class of charged black holes by introducing Dunkl derivatives in the four dimensional spacetime. To construct such solutions, we first compute the Ricci tensor and the Ricci scalar using the Christoffel symbols. Substituting them into the modified Einstein field equations via extended Dunkl derivations, we obtain the metric function of charged Dunkl black holes. Next, we investigate the charge effect on the corresponding thermodynamical properties by computing the associated quantities. To study the thermal stability, we calculate the heat capacity. After that, we approach the <span>(P)</span>–<span>(v)</span> criticality behaviors by determining the critical pressure <span>(P_{mathrm c})</span>, the critical temperature <span>(T_{mathrm c})</span> and the critical specific volume <span>(v_{mathrm c})</span> in terms of <span>(Q)</span> and two parameters <span>(A)</span> and <span>(B)</span> characterizing the Dunkl reflections. Precisely, we show that the ratio <span>(P_{mathrm c}v_{mathrm c}/T_{mathrm c})</span> is a universal number with respect to the charge <span>(Q)</span> and <span>(B)</span> parameters. Taking a zero limit of <span>(A)</span>, we recover the Van der Waals fluid behaviors. For Joule–Thomson expansion effects for such charged black holes, we reveal certain similarities and the differences with Van der Waals fluids. Finally, we discuss the phase transitions via the Gibbs free energy computations. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 1","pages":"720 - 734"},"PeriodicalIF":1.1,"publicationDate":"2026-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147733144","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}
引用次数: 0
(q)-Fractional multiple trapping model for charge carrier transport in amorphous semiconductors (q)非晶半导体中载流子输运的分数倍捕获模型
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-03-25 DOI: 10.1134/S0040577926030098
F. Serdouk, A. Boumali, M. L. Benkhedir
{"title":"(q)-Fractional multiple trapping model for charge carrier transport in amorphous semiconductors","authors":"F. Serdouk,&nbsp;A. Boumali,&nbsp;M. L. Benkhedir","doi":"10.1134/S0040577926030098","DOIUrl":"10.1134/S0040577926030098","url":null,"abstract":"<p> In this work, we present a thorough theoretical model, the <span>(q)</span>-Fractional Multiple Trapping Model, which refines the description of anomalous transit-time dispersion in disordered semiconductors. Unifying stochastic multiple trapping theory, fractional calculus and nonextensive statistical mechanics (Tsallis statistics), the model accounts for structural inhomogeneity, long-range correlations and memory effects. Analytical and numerical results derived using the inverse Laplace transform and the Padé approximation demonstrate that the transient current profile is collectively governed by three parameters: the fractional parameter <span>(alpha)</span>, the nonextensive parameter <span>(q)</span>, and a structural homogeneity parameter <span>(theta)</span>. Key findings reveal that the nonextensive parameter <span>(q)</span> interpolates between classical and anomalous transport, while the structural parameter <span>(theta)</span> dictates the emergence and sharpness of the characteristic transit time <span>(t_{rm{tr}})</span>. Specifically, a small value of <span>(theta)</span> indicates strong disorder and broad power-law decay, whereas a large value of <span>(theta)</span> yields a sharp <span>(t_{rm{tr}})</span> consistent with experimental observations. The model successfully reproduces experimental time-of-flight transients in amorphous selenium (a-Se) across a wide temperature range. This emphasizes the necessity of incorporating both nonextensive dynamics and structural disorder in order to accurately characterize anomalous transport phenomena in such media. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"226 3","pages":"523 - 545"},"PeriodicalIF":1.1,"publicationDate":"2026-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561361","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}
引用次数: 0
Asymptotic expansion of self-consistent energy levels of the hydrogen atom in orthogonal electric and magnetic fields 正交电场和磁场中氢原子自洽能级的渐近展开
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-03-25 DOI: 10.1134/S0040577926030062
A. V. Pereskokov
{"title":"Asymptotic expansion of self-consistent energy levels of the hydrogen atom in orthogonal electric and magnetic fields","authors":"A. V. Pereskokov","doi":"10.1134/S0040577926030062","DOIUrl":"10.1134/S0040577926030062","url":null,"abstract":"<p> We consider the spectral problem for a hydrogen atom in orthogonal electric and magnetic fields with an additional self-consistent field. We obtain an asymptotic expansion of self-consistent energy levels. We find an asymptotic expansion of asymptotic eigenfunctions near the sphere <span>(|q|=2)</span>. We calculate the asymptotics of their norm in the space <span>(L^2(mathbb{R}^3))</span>. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"226 3","pages":"470 - 484"},"PeriodicalIF":1.1,"publicationDate":"2026-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561349","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}
引用次数: 0
Three-electron first doublet in the impurity Hubbard model 杂质哈伯德模型中的三电子第一重态
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-03-25 DOI: 10.1134/S0040577926030074
S. M. Tashpulatov
{"title":"Three-electron first doublet in the impurity Hubbard model","authors":"S. M. Tashpulatov","doi":"10.1134/S0040577926030074","DOIUrl":"10.1134/S0040577926030074","url":null,"abstract":"<p> We consider the energy operator of a three-electron systems in the impurity Hubbard model and investigate the structure of essential spectra and discrete spectrum of the system in the first doublet state on the <span>(nu)</span>-dimensional lattice. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"226 3","pages":"485 - 498"},"PeriodicalIF":1.1,"publicationDate":"2026-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561831","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}
引用次数: 0
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