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We examine the thermodynamic characteristics of unified quantum statistics as a novel framework that undergoes a crossover between Bose-Einstein and Fermi-Dirac statistics by varying a generalization parameter $\delta$. We find an…

Statistical Mechanics · Physics 2023-10-26 Habib Esmaili , Hosein Mohammadzadeh , Mehdi Biderang , Morteza Nattagh Najafi

We consider the relation between the Boltzmann temperature and the Lagrange multipliers associated with energy average in the nonextensive thermostatistics. In Tsallis' canonical ensemble, the Boltzmann temperature depends on energy through…

Statistical Mechanics · Physics 2007-05-23 T. Wada , A. M. Scarfone

We propose a relationship between thermodynamic phase transitions and ground-state quantum phase transitions in systems with variable Hamiltonian parameters. It is based on a link between zeros of the canonical partition function at complex…

Nuclear Theory · Physics 2009-11-10 Pavel Cejnar , Stefan Heinze , Jan Dobes

We study numerically the finite temperature and frequency mobility of a particle coupled by a local interaction to a system of spinless fermions in one dimension. We find that when the model is integrable (particle mass equal to the mass of…

Condensed Matter · Physics 2009-10-28 H. Castella , X. Zotos

We consider a mean field model describing the free cooling process of a two component granular mixture, a generalization of so called Maxwell model. The cooling is viewed as an ordering process and the scaling behavior is attributed to the…

Statistical Mechanics · Physics 2009-11-07 Umberto Marini Bettolo Marconi , Andrea Puglisi

A unified approach valid for any wavenumber, frequency, and temperature is presented for uniform ideal quantum gases allowing for a comprehensive study of number density and particle-current density response functions. Exact analytical…

Quantum Gases · Physics 2015-05-14 J. Bosse , K. N. Pathak , G. S. Singh

The thermodynamic properties of the Boltzmann hard sphere system is discussed. It was found that zero point energy decreases with temperature so slowly that it turned out to be an almost a constant addition to the classical value. In result…

Other Condensed Matter · Physics 2023-07-06 Sergei Stishov

We investigate the vacuum and thermal fluctuations of a neutral massless scalar field living in Minkowski spacetime and interacting with a finite number of point-like obstacles, modelled by zero-range potentials. The system is described…

Mathematical Physics · Physics 2026-05-12 Davide Fermi , Marco Gurgoglione

Previously, the Einstein equation has been described as an equation of state, general relativity as the equilibrium state of gravity, and $f({\cal R})$ gravity as a non-equilibrium one. We apply Eckart's first order thermodynamics to the…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Valerio Faraoni , Andrea Giusti

Why do gases reach equilibrium when left to themselves? The canonical answer, originally proffered by Boltzmann, is that the systems have to be ergodic. This answer is now widely regarded as flawed. We argue that some of the main…

History and Philosophy of Physics · Physics 2013-10-08 Roman Frigg , Charlotte Werndl

While temperature is well understood as an intensive quantity in standard thermodynamics, it is less clear whether the same holds in the presence of strong correlations, especially in the case of quantum systems, which may even display…

According to de Broglie, temperature plays a basic role in quantum Hamilton-Jacobi theory. Here we show that a possible dependence on the temperature of the integration constants of the relativistic quantum Hamilton-Jacobi may lead to…

High Energy Physics - Phenomenology · Physics 2018-06-20 Marco Matone

We examine the thermal behavior of a relativistic anyon system, dynamically realized by coupling a charged massive spin-1 field to a Chern-Simons gauge field. We calculate the free energy (to the next leading order), from which all…

High Energy Physics - Theory · Physics 2011-08-12 Wei Chen

The theory of statistical mechanics is studied in the presence of Lorentz-violating background fields. The analysis is performed using the Standard-Model Extension (SME) together with a Jaynesian formulation of statistical inference.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Don Colladay , Patrick McDonald

Quantum thermodynamics with open systems is often based on the quantum optical weak-coupling master equation or on operational repeated interaction models, whereas early works on thermalisation and on decoherence theory were mostly…

Quantum Physics · Physics 2025-06-27 Michael Gaida , Giulio Gasbarri , Stefan Nimmrichter

Spontaneous symmetry breaking in quantum field theories at non-zero temperature still holds fundamental open questions, in particular what happens to vacuum Goldstone bosons when the temperature is increased. By investigating a complex…

High Energy Physics - Phenomenology · Physics 2025-09-25 Peter Lowdon , Owe Philipsen

The notion of negative absolute temperature emerges naturally from Boltzmann's definition of "surface" microcanonical entropy in isolated systems with a bounded energy density. Recently, the well-posedness of such construct has been…

Statistical Mechanics · Physics 2017-05-31 Pierfrancesco Buonsante , Roberto Franzosi , Augusto Smerzi

In this paper we study the system of a scalar quantum field confined between two plane, isotropic, and homogeneous parallel plates at thermal equilibrium. We represent the plates by the most general lossless and frequency-independent…

High Energy Physics - Theory · Physics 2020-09-01 J. M. Munoz-Castaneda , L. Santamaria-Sanz , M. Donaire , M. Tello-Fraile

The model quantum system of fermions in a one dimensional harmonic oscillator potential is investigated by a molecular dynamics method at constant temperature. Although in quantum mechanics the equipartition theorem cannot be used like in…

Statistical Mechanics · Physics 2015-06-25 J. Schnack

We experimentally study the energy-temperature relationship of a harmonically trapped Bose-Einstein condensate by transferring a known quantity of energy to the condensate and measuring the resulting temperature change. We consider two…

Quantum Gases · Physics 2022-02-09 S. K. Ruddell , D. H. White , A. Ullah , D. Baillie , M. D. Hoogerland
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