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An accurate description of electron-ion interactions in materials is crucial for our understanding of their equilibrium and non-equilibrium properties. Here, we assess the properties of frictional forces experienced by ions in…

Disordered Systems and Neural Networks · Physics 2020-07-15 Jacopo Simoni , Jerome Daligault

A new approach to non-extensive thermodynamical systems with non-additive energy and entropy is proposed. The main idea of the paper is based on the statistical matching of the thermodynamical systems with the additive multi-step Markov…

Data Analysis, Statistics and Probability · Physics 2007-05-23 S. S. Apostolov , Z. A. Mayzelis , O. V. Usatenko , V. A. Yampol'skii

The work deals with the thermodynamical aspects of the cosmic substratum which is dissipative in nature. For homogeneous and isotropic model of the Universe this dissipative phenomenon is effective bulk viscous pressure in nature and is…

General Relativity and Quantum Cosmology · Physics 2018-06-04 Pritikana Bhandari , Sourav Haldar , Subenoy Chakraborty

We develop a generalized theory of (meta)equilibrium statistical mechanics in the thermodynamic limit valid for both smooth and fractal phase spaces. In the former case, our approach leads naturally to Boltzmann-Gibbs standard…

Statistical Mechanics · Physics 2009-11-11 V. Garcia-Morales , J. Pellicer

Ability of dynamical systems to relax to equilibrium has been investigated since the invention of statistical mechanics, which establishes the connection between dynamics of many-body Hamiltonian systems and phenomenological thermodynamics.…

Statistical Mechanics · Physics 2019-07-01 K. S. Glavatskiy , V. L. Kulinskii

We prove the existence of non-equilibrium phases of matter in the prethermal regime of periodically-driven, long-range interacting systems, with power-law exponent $\alpha > d$, where $d$ is the dimensionality of the system. In this…

Statistical Mechanics · Physics 2020-02-25 Francisco Machado , Dominic V. Else , Gregory D. Kahanamoku-Meyer , Chetan Nayak , Norman Y. Yao

The generalized Gibbs free energy and enthalpy is derived in the framework of nonextensive thermodynamics by using the so-called physical temperature and the physical pressure. Some thermodynamical relations are studied by considering the…

Statistical Mechanics · Physics 2015-08-10 Lina Gu , Jiulin Du

We discuss the thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions. In particular we investigate the NLO 1/N correction to the 1PI finite temperature effective potential expressed in terms of an auxiliary field. The effective…

High Energy Physics - Phenomenology · Physics 2017-08-23 Harmen J. Warringa

A unified algebraic structure is shown to exist among various equations for the critical temperatures pertaining to diverse two- and three-dimensional lattices. This isomorphism is a pointer to the straight-forward extension of…

Statistical Mechanics · Physics 2024-03-22 M V Vismaya , M V Sangaranarayanan

Nonlinear thermoelastic systems play a crucial role in understanding thermal conductivity, stresses, elasticity, and temperature interactions. This research focuses on finding solutions to these systems in their fractional forms, which is a…

Analysis of PDEs · Mathematics 2025-01-13 Qasim Khan

Thermoelectric measurement of the dimensionless zT parameter requires multiple physical quantities to be measured, therefore there is great interest to find an experimental setup capable of measuring all these properties at once. Previous…

In a recent paper we introduced two Potts-like models in three dimensions, which share the following properties: (A) One of the ice rules is always fulfilled (in particular also at infinite temperature). (B) Both ice rules hold for…

Statistical Mechanics · Physics 2009-11-13 Chizuru Muguruma , Yuko Okamoto , Bernd A. Berg

An irreversible thermodynamical theory of solids is presented where the kinematic quantities are defined in an automatically objective way. Namely, auxiliary elements like reference frame, reference time and reference configuration are…

Classical Physics · Physics 2015-12-22 Tamás Fülöp

Let H(q,p) = p^2/2 + V(q) be a 1-degree of freedom mechanical Hamiltonian with a C^n periodic potential V where n>4. The Nos\'e-thermostated system associated to H is shown to have invariant tori near the infinite temperature limit. This is…

Dynamical Systems · Mathematics 2017-02-09 Leo T. Butler

We study a discrete version of a biaxial nematic liquid crystal model with external fields via an approach based on the solution of differential identities for the partition function. In the thermodynamic limit, we derive the free energy of…

Exactly Solvable and Integrable Systems · Physics 2024-02-12 Giovanni De Matteis , Francesco Giglio , Antonio Moro

The two-body potential of systems with long-range interactions decays at large distances as $V(r)\sim 1/r^\alpha$, with $\alpha\leq d$, where $d$ is the space dimension. Examples are: gravitational systems, two-dimensional hydrodynamics,…

Statistical Mechanics · Physics 2009-09-03 A. Campa , T. Dauxois , S. Ruffo

The paper studies the evolution of the thermomechanical and electric state of a thermoviscoelastic thermistor that is in frictional contact with a reactive foundation. The mechanical process is dynamic, while the electric process is…

Mathematical Physics · Physics 2019-01-28 Krzysztof Bartosz , Tomasz Janiczko , Paweł Szafraniec , Meir Shillor

We analyze in the context of geometrothermodynamics a Legendre invariant metric structure in the equilibrium space of an ideal gas. We introduce the concept of thermodynamic geodesic as a succession of points, each corresponding to a state…

Mathematical Physics · Physics 2014-10-28 Hernando Quevedo , Alberto Sanchez , Alejandro Vazquez

A candidate for a consistent steady state thermodynamics is constructed for a radiation field in vacuum sandwiched by two black bodies of different temperatures. Because of the collisionless nature of photons, a steady state of a radiation…

Statistical Mechanics · Physics 2015-06-25 Hiromi Saida

We critically revisit the definition of thermal equilibrium, in its operational formulation, provided by standard thermodynamics. We show that it refers to experimental conditions which break the covariance of the theory at a fundamental…

General Relativity and Quantum Cosmology · Physics 2020-11-06 Lorenzo Gavassino
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