Zero-temperature phase transitions and their anomalous influence on thermodynamic behavior in the q -state Potts model on a diamond chain
Электронный научный архив УРФУ
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Zero-temperature phase transitions and their anomalous influence on thermodynamic behavior in the q -state Potts model on a diamond chain
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| Автор |
Panov, Y.
Rojas, O. |
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| Тематика |
DIAMONDS
ENTROPY FREE ENERGY MAGNETIC SUSCEPTIBILITY MAGNETIZATION POTTS MODEL SPECIFIC HEAT STATISTICAL PHYSICS TEMPERATURE CORRELATION LENGTHS CRITICAL BEHAVIOUR DIAMOND CHAIN FINITE TEMPERATURES PHASE TRANSITION BEHAVIOURS Q-STATE POTTS MODEL TEMPERATURE PHASE THERMODYNAMIC BEHAVIORS THERMODYNAMICS PROPERTY ZERO TEMPERATURES PHASE TRANSITIONS ARTICLE ENTROPY HEAT MAGNETISM PHASE TRANSITION TEMPERATURE THERMODYNAMICS TUBERCULOUS SPONDYLITIS |
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| Описание |
The q-state Potts model on a diamond chain has mathematical significance in analyzing phase transitions and critical behaviors in diverse fields, including statistical physics, condensed matter physics, and materials science. By focusing on the three-state Potts model on a diamond chain, we reveal rich and analytically solvable behaviors without phase transitions at finite temperatures. Upon investigating thermodynamic properties such as internal energy, entropy, specific heat, and correlation length, we observe sharp changes near zero temperature. Magnetic properties, including magnetization and magnetic susceptibility, display distinct behaviors that provide insights into spin configurations in different phases. However, the Potts model lacks genuine phase transitions at finite temperatures, in line with the Peierls argument for one-dimensional systems. Nonetheless, in the general case of an arbitrary q state, magnetic properties such as correlation length, magnetization, and magnetic susceptibility exhibit intriguing remnants of a zero-temperature phase transition at finite temperatures. Furthermore, residual entropy uncovers unusual frustrated regions at zero-temperature phase transitions. This feature leads to the peculiar thermodynamic properties of phase boundaries, including a sharp entropy change resembling a first-order discontinuity without an entropy jump, and pronounced peaks in second-order derivatives of free energy, suggestive of a second-order phase transition divergence but without singularities. This unusual behavior is also observed in the correlation length at the pseudocritical temperature, which could potentially be misleading as a divergence. © 2023 American Physical Society.
Ministry of Education and Science of the Russian Federation, Minobrnauka; Conselho Nacional de Desenvolvimento Científico e Tecnológico, CNPq; Fundação de Amparo à Pesquisa do Estado de Minas Gerais, FAPEMIG The work was partly supported by the Ministry of Science and Higher Education of the Russian Federation (Ural Federal University Program of Development within the Priority-2030 Program) and the Brazilian agencies CNPq and FAPEMIG. |
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| Дата |
2024-04-05T16:35:34Z
2024-04-05T16:35:34Z 2023 |
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Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/submittedVersion |
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| Идентификатор |
Panov, Y & Rojas, O 2023, 'Zero-temperature phase transitions and their anomalous influence on thermodynamic behavior in the q -state Potts model on a diamond chain', Physical Review E, Том. 108, № 4, 044144. https://doi.org/10.1103/PhysRevE.108.044144
Panov, Y., & Rojas, O. (2023). Zero-temperature phase transitions and their anomalous influence on thermodynamic behavior in the q -state Potts model on a diamond chain. Physical Review E, 108(4), [044144]. https://doi.org/10.1103/PhysRevE.108.044144 2470-0045 Final All Open Access, Green https://www.scopus.com/inward/record.uri?eid=2-s2.0-85175844173&doi=10.1103%2fPhysRevE.108.044144&partnerID=40&md5=248a08b93a181dc77663367246ef7da3 https://arxiv.org/pdf/2310.00150 http://elar.urfu.ru/handle/10995/130927 10.1103/PhysRevE.108.044144 85175844173 001095000400001 |
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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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