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We obtain the specific heat in the third constraint scenario for a canonical ensemble of a nonextensive extreme relativistic ideal gas in a closed form. The canonical ensemble of N particles in D dimensions is well-defined for the choice of…

统计力学 · 物理学 2015-05-13 R. Chakrabarti , R. Chandrashekar , S. S. Naina Mohammed

Using the recently developed ``Maximum Entropy'' (or ``least biased'') distribution function to truncate the moment hierarchy arising from kinetic theory, we formulate a far-from-equilibrium macroscopic theory that provides the possibility…

高能物理 - 唯象学 · 物理学 2023-08-03 Chandrodoy Chattopadhyay , Ulrich Heinz , Thomas Schaefer

A generalized entropy arising in the context of superstatistics is obtained for an ideal gas. The curvature scalar associated to the thermodynamic space generated by this modified entropy is calculated using two formalisms of the geometric…

统计力学 · 物理学 2018-04-18 J. L. López , O. Obregón , J. Torres-Arenas

Starting from a formulation for the $dS$ element that includes movement, and considering the variation of the entropy Lorentz invariant, we found the relativistic transformations for thermodynamic systems that satisfy the three laws of…

经典物理 · 物理学 2008-03-20 C. A. Farías , P. S. Moya , V. A. Pinto

We study the quantum evolution of many-body Fermi gases in three dimensions, in arbitrarily large domains. We consider both particles with non-relativistic and with relativistic dispersion. We focus on the high-density regime, in the…

数学物理 · 物理学 2023-04-05 Luca Fresta , Marcello Porta , Benjamin Schlein

A Type-I model of a multicomponent system of fluids with non-constant temperature is derived as the high-friction limit of a Type-II model via a Chapman-Enskog expansion. The asymptotic model is shown to fit into the general theory of…

偏微分方程分析 · 数学 2022-08-10 Stefanos Georgiadis , Athanasios E. Tzavaras

We introduce a simple model of the time evolution of a binary mixture of compressible fluids including the thermal effects. Despite its apparent simplicity, the model is thermodynamically consistent admitting an entropy balance equation. We…

偏微分方程分析 · 数学 2021-09-07 Eduard Feireisl , Madalina Petcu , Bangwei She

We present a novel approach to kinetic theory modeling enabling the simulation of a generic, real gas presented by its corresponding equation of state. The model is based on mass, momentum and energy conservation, and unlike the lattice…

流体动力学 · 物理学 2020-02-25 Ehsan Reyhanian , Benedikt Dorschner , Ilya Karlin

Relativistic plasmas are central to the study of black hole accretion, jet physics, neutron star mergers, and compact object magnetospheres. Despite the need to accurately capture the dynamics of these plasmas and the implications for…

高能天体物理现象 · 物理学 2022-07-20 Elias R. Most , Jorge Noronha , Alexander A. Philippov

Microcanonical equations for several thermodynamic properties of a system, suitable for molecular dynamics simulations, are derived from the nonextensive Tsallis entropy functional. Two possible definitions of temperature, the usual one and…

统计力学 · 物理学 2011-03-21 J. Carrete , L. M. Varela , L. J. Gallego

The present work is a natural continuation of the previous paper arXiv:0911.5597. In this work, within the scope of the Generalized Uncertainty Principle, a model of the high energy deformation for a particular case of Einstein's equations…

高能物理 - 理论 · 物理学 2010-06-25 A. E. Shalyt-Margolin

Dissipative processes cause collisionless plasmas in many systems to develop nonthermal particle distributions with broad power-law tails. The prevalence of power-law energy distributions in space/astrophysical observations and kinetic…

高能天体物理现象 · 物理学 2022-07-06 Vladimir Zhdankin

In this paper we have studied Van-Der-Waals fluid system with the generalized EOS as as discussed in the recent works of Kremer, G.M [1, 4], Vardiashvili, G [2], Jantsch, R.C [3], Capozziello, S [5]. and are functions of energy density and…

广义相对论与量子宇宙学 · 物理学 2021-10-27 Alokananda Kar , Shouvik Sadhukhan , Surajit Chattopadhyay

We introduce a system of equations that models a non-isothermal magnetoviscoelastic fluid. We show that the model is thermodynamically consistent, and that the critical points of the entropy functional with prescribed energy correspond…

偏微分方程分析 · 数学 2023-05-24 Hengrong Du , Yuanzhen Shao , Gieri Simonett

The postulational basis of classical thermodynamics has been expanded to incorporate equilibrium fluctuations. The main additional elements of the proposed thermodynamic theory are the concept of quasi-equilibrium states, a definition of…

统计力学 · 物理学 2019-06-11 Y. Mishin

We propose a formal extension of thermodynamics and kinetic theories to a larger class of entropy functionals. Kinetic equations associated to Boltzmann, Fermi, Bose and Tsallis entropies are recovered as a special case. This formalism…

统计力学 · 物理学 2015-06-24 Pierre-Henri Chavanis

We present a generating functional which describes the equilibrium thermodynamic response of a relativistic system to external sources. A variational principle gives rise to constraints on the response parameters of relativistic…

高能物理 - 理论 · 物理学 2013-05-30 Kristan Jensen , Matthias Kaminski , Pavel Kovtun , Rene Meyer , Adam Ritz , Amos Yarom

The paper presents a versatile framework for solids which undergo nonisothermal processes with irreversibly changing microstructure at large strains. It outlines rate-type and incremental variational principles for the full thermomechanical…

数值分析 · 数学 2022-04-12 Stephan Teichtmeister , Marc-Andre Keip

Concepts of everyday use like energy, heat, and temperature have acquired a precise meaning after the development of thermodynamics. Thermodynamics provides the basis for understanding how heat and work are related and with the general…

统计力学 · 物理学 2007-05-23 D. Reguera , J. M. Rubi , J. M. G. Vilar

Here, we consider a flat FRW universe whose its horizon entropy meets the R\'enyi entropy of non-extensive systems. In our model, the ordinary energy-momentum conservation law is not always valid. By applying the Clausius relation as well…

综合物理 · 物理学 2018-01-17 H. Moradpour , Alexander Bonilla , Everton M. C. Abreu , Jorge Ananias Neto