Theoretical and Mathematical Physics最新文献

Loop, cuspon, and soliton solutions of a multicomponent discrete complex short-pulse equation

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2025-02-25 DOI: 10.1134/S0040577925020047

A. Inam, M. ul Hassan

引用次数: 0

Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar-charged fluid

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2025-02-25 DOI: 10.1134/S0040577925020072

Yu. G. Ignat’ev

{"title":"Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar-charged fluid","authors":"Yu. G. Ignat’ev","doi":"10.1134/S0040577925020072","DOIUrl":"10.1134/S0040577925020072","url":null,"abstract":" A model of an ideal fluid with a scalar charge is formulated, on the basis of which a model with a neutral fluid and a vacuum-field model with transition rules between them are constructed. We qualitatively analyze the obtained dynamical systems and model them numerically. A mathematical model of plane longitudinal scalar–gravitational perturbations of the Friedmann ideal charged fluid with Higgs interaction is formulated. It is shown that gravitational perturbations do not arise in the absence of the fluid, i.e., in the vacuum-field model. Perturbations of the scalar field are possible only in those cases where the cosmological system is at singular points in the unperturbed state. In these cases, exact solutions of the field equation are found in terms of Bessel functions of the first and second kind; they describe damped oscillations in the case of a stable unperturbed state and growing oscillations in the case of an unstable unperturbed state. The WKB theory of plane scalar–gravitational perturbations is constructed: dispersion equations are obtained in the general form and are solved for a neutral fluid. Expressions are obtained for the local frequency and growth increment of oscillations, as well as the integral increment. It is shown that only free wave regimes or growing standing oscillations are possible during the evolution. Perturbations in the WKB approximation in a neutral fluid are studied and it is shown that local formulas for the evolution of perturbations correspond to the 1985 model of Khlopov, Malomed, and Zeldovich. The times of the beginning and end of the instability phase are determined and it is shown that instability can develop only at the unstable inflationary stage of the expansion of the Universe. ","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 2","pages":"285 - 313"},"PeriodicalIF":1.0,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143489579","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

Black brane/Bose gas duality and the third law of thermodynamics 黑球/玻色气体二元性与热力学第三定律

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2025-02-25 DOI: 10.1134/S0040577925020060

I. Ya. Aref’eva, I. V. Volovich, D. O. Stepanenko

{"title":"Black brane/Bose gas duality and the third law of thermodynamics","authors":"I. Ya. Aref’eva, I. V. Volovich, D. O. Stepanenko","doi":"10.1134/S0040577925020060","DOIUrl":"10.1134/S0040577925020060","url":null,"abstract":" In the thermodynamics of black holes in an asymptotically flat space, the third law of thermodynamics is violated, and entropy cannot be consistently modeled through conventional statistical mechanics. Notably, the third law of thermodynamics is violated for the Schwarzschild black hole, and its entropy can only be described using an unconventional model, such as the Bose gas in negative dimensions. In contrast, for certain black brane solutions, such as the Poincaré AdS black branes, Lifshitz black branes, and anisotropic Lifshitz-type black branes, the third law is preserved, with entropy vanishing as the temperature approaches zero. In this paper, we extend the previously established duality between black hole and Bose gas thermodynamics to black branes. Specifically, the Poincaré black brane in (D) spacetime dimensions corresponds to a nonrelativistic Bose gas in (2(D-2)) spatial dimensions. Furthermore, the duality between Lifshitz branes and Bose gases relates a Lifshitz brane with the exponent (alpha) in (D)-dimensional spacetime to a Bose gas of quasiparticles with the energy (k^alpha) in (D-2) spatial dimensions. ","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 2","pages":"276 - 284"},"PeriodicalIF":1.0,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143489578","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

On the solvability of the Cauchy problem for a thermal–electrical model

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2025-02-25 DOI: 10.1134/S0040577925020011

M. V. Artemeva, M. O. Korpusov, A. A. Panin

引用次数: 0

A (bar{partial})-method for the ((2+1))-dimensional coupled Boussinesq equation and its integrable extension

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2025-02-25 DOI: 10.1134/S0040577925020035

Huanhuan Lu, Xinan Ren

引用次数: 0

Duffin–Kemmer–Petiau oscillator in topologically charged Ellis–Bronnikov-type wormhole

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2025-02-25 DOI: 10.1134/S0040577925020084

H. Aounallah, A. Moussa, F. Ahmed, P. Rudra

{"title":"Duffin–Kemmer–Petiau oscillator in topologically charged Ellis–Bronnikov-type wormhole","authors":"H. Aounallah, A. Moussa, F. Ahmed, P. Rudra","doi":"10.1134/S0040577925020084","DOIUrl":"10.1134/S0040577925020084","url":null,"abstract":" We explore relativistic quantum dynamics of spin-(0) bosonic fields governed by the Duffin–Kemmer–Petiau (DKP) equation within the context of a topologically charged Ellis–Bronnikov-type wormhole. We derive the radial equation for the quantum systems described by the DKP equation on this wormhole background, ultimately arriving at the confluent Heun differential equation form. As a specific case, we present the ground energy level and the corresponding wave function of this quantum system. Furthermore, we extend our investigation to the DKP oscillator in the considered wormhole background, employing a similar methodology to deduce the ground state energy levels and wave function of the quantum oscillator field. Additionally, we introduce a zeroth component of the electromagnetic four-vector potential and examine the DKP oscillator by considering two types of potential on this wormhole background. Our findings highlight the influence of the wormhole throat radius and the topological charge of the geometry. Moreover, we observe that different external potentials also impact the energy levels of this relativistic quantum system. ","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 2","pages":"314 - 331"},"PeriodicalIF":1.0,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143489635","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

Solutions of three nonlocal equations with self-consistent sources by the inverse scattering transform and reductions

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2025-02-25 DOI: 10.1134/S0040577925020023

Qi Li, Hai-Qing Huang, Qiu-Yuan Duan

{"title":"Solutions of three nonlocal equations with self-consistent sources by the inverse scattering transform and reductions","authors":"Qi Li, Hai-Qing Huang, Qiu-Yuan Duan","doi":"10.1134/S0040577925020023","DOIUrl":"10.1134/S0040577925020023","url":null,"abstract":" Based on the Lax pairs and inverse scattering theory, we propose a reduction method by which we naturally reduce the AKNS hierarchy with self-consistent sources to several nonlocal nonlinear integrable hierarchies with self-consistent sources. The key is the properties of the squared eigenfunctions and scattering data associated with the AKNS scattering problems under symmetry conditions, and reducing the number of sources by half. By the reductions, we derive three nonlocal hierarchies including the nonlocal nonlinear Schrödinger hierarchy with self-consistent sources, the nonlocal complex modified Korteweg–de Vries hierarchy with self-consistent sources, and the nonlocal modified Korteweg–de Vries hierarchy with self-consistent sources, as well as their soliton solutions. As an example, we describe the shape and motion of a one-soliton solution of the nonlocal modified Korteweg–de Vries equation with self-consistent sources and compare it with its counterpart without sources. This reduction method can be applied to both nonlocal and classical (local) reductions of the AKNS hierarchy with self-consistent sources. ","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 2","pages":"198 - 210"},"PeriodicalIF":1.0,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143489411","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

Implications of generalized Compton wavelength in the effects of general relativity

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2025-02-25 DOI: 10.1134/S0040577925020096

D. Fiscaletti

引用次数: 0

Interrelations between dualities in classical integrable systems and a classical–classical version of the quantum–classical duality

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2025-02-25 DOI: 10.1134/S0040577925020059

R. A. Potapov, A. V. Zotov

引用次数: 0

Erratum to: Khoroshkin–Tolstoy approach to quantum superalgebras