Phase transition for the system of finite volume in the ϕ4 theory in the Tsallis nonextensive statistics

DOI10.1142/S0217751X18500677zbMath1392.82019arXiv1801.06559OpenAlexW3103108898MaRDI QIDQ4637959

Masamichi Ishihara

Publication date: 3 May 2018

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06559

zbMATH Keywords

phase transitionTsallis nonextensive statistics\(\phi^{4}\) theory

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27) Measures of information, entropy (94A17)

Related Items (1)

Super-statistical description of thermo-magnetic properties of a system of 2D GaAs quantum dots with Gaussian confinement and Rashba spin-orbit interaction

Cites Work

• Is the entropy \(S_q\) extensive or nonextensive?
• Relativistic nonextensive thermodynamics
• Bose-Einstein and Fermi-Dirac distributions in nonextensive Tsallis statistics: An exact study
• Gravothermal catastrophe and Tsallis' generalized entropy of self-gravitating systems. III: Quasi-equilibrium structure using normalized \(q\)-values
• Tsallis statistics: averages and a physical interpretation of the Lagrange multiplier \(\beta \)
• Quantum Field Theories in Nonextensive Tsallis Statistics
• New representations of π and Dirac delta using the nonextensive-statistical-mechanics q-exponential function
• Quantum Fields in Curved Space

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