RAS PhysicsФизика металлов и металловедение Physics of Metals and Metallography

  • ISSN (Print) 0015-3230
  • ISSN (Online) 3034-6215

Mean-field theory of non-thermodynamic phase transitions for an ensemble of interacting quantum objects

PII
S0015323025020039-1
DOI
10.31857/S0015323025020039
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 126 / Issue number 2
Pages
151-159
Abstract
Phase transitions for an open system consisting of an ensemble of interacting quantum subsystems with discrete spectrum are studied in the mean-field approximation. In the considered model, the change of an internal symmetry of a thermodynamic system upon the second-order phase transition is due to changing symmetry of distribution of charge/spin density inside each quantum subsystem. The latter can be caused by either splitting of one of lowest degenerated energy level or closing a gap between the levels and appearance of avoided crossing. The effect of external parameters (pressure, field, composition, etc.) results in direct change of internal control parameters: level spacing and/or the strength of interaction between adjacent quantum subsystems. Considering a simplest case of the two-level quantum subsystems, expressions for the free energy as a function of the internal control parameters were obtained in analytical form. The behavior of the heat capacity and susceptibility for different regions of the low-temperature phase diagram including the area of quantum fluctuations was determined.
Keywords
Date of publication
07.10.2025
Year of publication
2025
Number of purchasers
0
Views
30

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At the Ministry of Education and Science of the Russian Federation

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