Residual entropy of the dilute Ising chain in a magnetic field
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Residual entropy of the dilute Ising chain in a magnetic field
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| Автор |
Panov, Y.
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| Тематика |
ANTIFERROMAGNETISM
GROUND STATE LINEAR PROGRAMMING MAGNETIC FIELDS MAGNETIZATION NONLINEAR PROGRAMMING ANALYTICAL METHOD FIELD-INDUCED TRANSITIONS ISING CHAINS LINEAR OPTIMIZATION PROBLEMS MAGNETIC-FIELD MARKOV PROPERTY NON-MAGNETIC IMPURITIES PROPERTY RESIDUAL ENTROPY SIMPLE++ ANALYTIC METHOD ARTICLE CONCENTRATION RESPONSE ENTROPY MAGNETIC FIELD ENTROPY |
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| Описание |
The properties of the ground state of the simplest frustrated system, the dilute Ising chain in a magnetic field, are rigorously investigated over the entire range of concentrations of charged nonmagnetic impurities. Analytical methods are proposed for calculating the residual entropy of frustrated states, including states at phase boundaries, which are based on the Markov property of the system and involve solving a linear optimization problem for energy and a nonlinear optimization problem for entropy. These methods allow obvious generalizations for one-dimensional pseudospin models with anisotropic interactions. We calculate the composition, entropy, and magnetization for the ground state phases. We prove the absence of pseudotransitions in the dilute Ising chain, since the residual entropy of states at phase boundaries is always higher than the entropy of adjacent phases. The concentration dependencies of magnetization at the phase boundaries are obtained, and unlike linear dependencies for adjacent phases, they have nonlinear behavior. Field-induced transitions between ground states and entropy jumps associated with them are also considered, and in particular, it is shown that the field-induced transition from an antiferromagnetic state to a frustrated one is accompanied by charge ordering. © 2022 American Physical Society.
Ministry of Education and Science of the Russian Federation, Minobrnauka The research funding from the Ministry of Science and Higher Education of the Russian Federation (Ural Federal University Program of Development within the Priority-2030 Program) is gratefully acknowledged. |
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| Дата |
2024-04-08T11:07:04Z
2024-04-08T11:07:04Z 2022 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) info:eu-repo/semantics/submittedVersion |
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| Идентификатор |
Panov, Y 2022, 'Residual entropy of the dilute Ising chain in a magnetic field', Physical Review E, Том. 106, № 5, 054111. https://doi.org/10.1103/PhysRevE.106.054111
Panov, Y. (2022). Residual entropy of the dilute Ising chain in a magnetic field. Physical Review E, 106(5), [054111]. https://doi.org/10.1103/PhysRevE.106.054111 2470-0045 Final All Open Access; Green Open Access https://arxiv.org/pdf/2211.04737 https://arxiv.org/pdf/2211.04737 http://elar.urfu.ru/handle/10995/131398 10.1103/PhysRevE.106.054111 85142141897 000885034100002 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
American Physical Society
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| Источник |
Physical Review E
Physical Review E |
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