发布求助
文献互助 智能选刊 最新文献

Theoretical and Mathematical Physics最新文献

筛选
英文 中文
Kramers–Wannier duality and Tutte polynomials 克拉默-万尼尔对偶性和图特多项式
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-08-26 DOI: 10.1134/s0040577924080051
A. A. Kazakov
{"title":"Kramers–Wannier duality and Tutte polynomials","authors":"A. A. Kazakov","doi":"10.1134/s0040577924080051","DOIUrl":"https://doi.org/10.1134/s0040577924080051","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We study applications of the connection between the partition functions of the Potts models and Tutte polynomials: it is demonstrated how the Kramers–Wannier duality can be derived from the Tutte duality. Using the “contraction–elimination” relation and the Biggs formalism, we derive the high-temperature expansion and discuss possible methods for generalizing the Kramers–Wannier duality to models on nonplanar graphs. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142223487","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
Stationary thermal front in the problem of reconstructing the semiconductor thermal conductivity coefficient using simulation data 利用模拟数据重建半导体导热系数问题中的静态热前沿
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-08-26 DOI: 10.1134/s0040577924080026
M. A. Davydova, G. D. Rublev
{"title":"Stationary thermal front in the problem of reconstructing the semiconductor thermal conductivity coefficient using simulation data","authors":"M. A. Davydova, G. D. Rublev","doi":"10.1134/s0040577924080026","DOIUrl":"https://doi.org/10.1134/s0040577924080026","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We study the problem of the existence of stationary, asymptotically Lyapunov-stable solutions with internal transition layers in nonlinear heat conductance problems with a thermal flow containing a negative exponent. We formulate sufficient conditions for the existence of classical solutions with internal layers in such problems. We construct an asymptotic approximation of an arbitrary-order for the solution with a transition layer. We substantiate the algorithm for constructing the formal asymptotics and study the asymptotic Lyapunov stability of the stationary solution with an internal layer as a solution of the corresponding parabolic problem with the description of the local attraction domain of the stable stationary solution. As an application, we present a new effective method for reconstructing the nonlinear thermal conductivity coefficient with a negative exponent using the position of the stationary thermal front in combination with observation data. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142223486","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
Generalized Chaos game in an extended hyperbolic plane 扩展双曲面中的广义混沌博弈
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-08-26 DOI: 10.1134/s0040577924080099
L. N. Romakina, I. V. Ushakov
{"title":"Generalized Chaos game in an extended hyperbolic plane","authors":"L. N. Romakina, I. V. Ushakov","doi":"10.1134/s0040577924080099","DOIUrl":"https://doi.org/10.1134/s0040577924080099","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We propose and theoretically substantiate an algorithm for conducting a generalized Chaos game with an arbitrary jump on finite convex polygons of the extended hyperbolic plane <span>(H^2)</span> whose components in the Cayley–Klein projective model are the Lobachevsky plane and its ideal domain. In particular, the defining identities for a point dividing an elliptic, hyperbolic, or parabolic segment in a given ratio are proved, and formulas for calculating the coordinates of such a point at a canonical frame of the first type are obtained. The results of a generalized Chaos game conducted using the advanced software package pyv are presented. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142177156","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
Dynamical properties of a diffusion-coupled system of differential equations with an additional internal coupling 具有额外内部耦合的扩散耦合微分方程系统的动态特性
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-08-26 DOI: 10.1134/s0040577924080038
L. I. Ivanovskiy
{"title":"Dynamical properties of a diffusion-coupled system of differential equations with an additional internal coupling","authors":"L. I. Ivanovskiy","doi":"10.1134/s0040577924080038","DOIUrl":"https://doi.org/10.1134/s0040577924080038","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We study the dynamics of a system of differential equations with the diffusion interaction and an additional internal coupling. Such systems are interesting because a slight variation in the coefficient at the additional coupling allows obtaining intricate scenarios of phase rearrangements. For the system under study, we find the critical dependence of the parameters such that zero equilibrium loses stability as two spatially inhomogeneous states appear in one case and a cycle in another case. With the parameter values close to the critical ones, asymptotic formulas are obtained for the regimes that branch off from the zero solution. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142177150","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
Periodic solutions of a differential equation with a discontinuous delayed neutral-type feedback 具有不连续延迟中性型反馈的微分方程的周期解
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-08-26 DOI: 10.1134/s0040577924080117
Yu. A. Yakubiv
{"title":"Periodic solutions of a differential equation with a discontinuous delayed neutral-type feedback","authors":"Yu. A. Yakubiv","doi":"10.1134/s0040577924080117","DOIUrl":"https://doi.org/10.1134/s0040577924080117","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We consider a differential equation with a discontinuous delayed neutral-type feedback. In the phase space, we describe classes of initial functions that depend on a number of parameters. We show that in a certain time, solutions return to an analogous class, possibly with other parameters. The analysis of the change in the parameters allows describing periodic solutions and their stability. We show that infinitely many of stable periodic solutions exist. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142177157","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
Analysis of the asymptotic convergence of periodic solution of the Mackey–Glass equation to the solution of the limit relay equation 麦基-格拉斯方程周期解向极限中继方程解的渐近收敛分析
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-08-26 DOI: 10.1134/s0040577924080014
V. V. Alekseev, M. M. Preobrazhenskaia
{"title":"Analysis of the asymptotic convergence of periodic solution of the Mackey–Glass equation to the solution of the limit relay equation","authors":"V. V. Alekseev, M. M. Preobrazhenskaia","doi":"10.1134/s0040577924080014","DOIUrl":"https://doi.org/10.1134/s0040577924080014","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> The relaxation self-oscillations of the Mackey–Glass equation are studied under the assumption that the exponent in the nonlinearity denominator is a large parameter. We consider the case where the limit relay equation, which arises as the large parameter tends to infinity, has a periodic solution with the smallest number of breaking points on the period. In this case, we prove the existence of a periodic solution of the Mackey–Glass equation that is asymptotically close to the periodic solution of the limit equation. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142177149","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
Second-order quantum argument shifts in $$Ugl_d$$ Ugl_d$$$中的二阶量子论点偏移
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-08-26 DOI: 10.1134/s004057792408004x
Y. Ikeda
{"title":"Second-order quantum argument shifts in $$Ugl_d$$","authors":"Y. Ikeda","doi":"10.1134/s004057792408004x","DOIUrl":"https://doi.org/10.1134/s004057792408004x","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We describe an explicit formula for the second-order quantum argument shifts of an arbitrary central element of the universal enveloping algebra of a general linear Lie algebra. We identify the generators of the subalgebra generated by the quantum argument shifts up to the second order. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142177151","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
Geometry and probability on the noncommutative 2-torus in a magnetic field 磁场中的非交换 2-Torus 上的几何与概率
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-08-26 DOI: 10.1134/s0040577924080105
M. N. Hounkonnou, F. Melong
{"title":"Geometry and probability on the noncommutative 2-torus in a magnetic field","authors":"M. N. Hounkonnou, F. Melong","doi":"10.1134/s0040577924080105","DOIUrl":"https://doi.org/10.1134/s0040577924080105","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We describe the geometric and probabilistic properties of a noncommutative <span>(2)</span>-torus in a magnetic field. We study the volume invariance, integrated scalar curvature, and the volume form by using the operator method of perturbation by an inner derivation of the magnetic Laplacian operator on the noncommutative <span>(2)</span>-torus. We then analyze the magnetic stochastic process describing the motion of a particle subject to a uniform magnetic field on the noncommutative <span>(2)</span>-torus, and discuss the related main properties. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142223489","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
Asymptotics of solutions of the Cauchy problem for a singularly perturbed operator differential transport equation 奇异扰动算子微分传输方程的考奇问题解的渐近性
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-08-26 DOI: 10.1134/s0040577924080075
A. V. Nesterov
{"title":"Asymptotics of solutions of the Cauchy problem for a singularly perturbed operator differential transport equation","authors":"A. V. Nesterov","doi":"10.1134/s0040577924080075","DOIUrl":"https://doi.org/10.1134/s0040577924080075","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We consider singularly perturbed operator differential transport equations of a special form in the case where the transport operator acts on space–time variables; a linear operator acting on an additional variable describes the interaction that “scrambles” the solution with respect to that variable. We construct a formal asymptotic expansion of the solution of the Cauchy problem for a singularly perturbed operator differential transport equation with small nonlinearity and weak diffusion in the case of several spatial variables. Under some conditions assumed for these problems, the leading term of the asymptotics is described by a quasilinear parabolic equation. The remainder term is estimated with respect to the residual under certain conditions. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142177154","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
Nonlinear waves in a parabolic equation with a spatial argument rescaling operator and with time delay 带有空间参数重定标算子和时间延迟的抛物线方程中的非线性波
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2024-08-26 DOI: 10.1134/s0040577924080063
E. P. Kubyshkin, V. A. Kulikov
{"title":"Nonlinear waves in a parabolic equation with a spatial argument rescaling operator and with time delay","authors":"E. P. Kubyshkin, V. A. Kulikov","doi":"10.1134/s0040577924080063","DOIUrl":"https://doi.org/10.1134/s0040577924080063","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We study bifurcations of nonlinear waves (spatially inhomogeneous solutions) emerging from homogeneous equilibrium states of an initial boundary value problem, arising in nonlinear optics, for a nonlinear parabolic equation on a disk with a spatial argument rescaling operator and with time delay. In the plane of the main parameters of the equation, we construct stability (instability) domains of homogeneous equilibrium states and study the dynamics of the stability domains depending on the rescaling coefficient. We investigate the mechanisms of stability loss by homogeneous equilibrium states, the possible bifurcations of spatially inhomogeneous self-oscillatory solutions, and their stability. We demonstrate the possibility of bifurcation of stable rotational and spiral waves. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142177153","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
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信