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Considering a system of non-interacting particles characterized by the number N of its constituents and by its Kelvin temperature T, we reduce the transformation of the Kelvin temperature to the transformation mass

General Physics · Physics 2008-12-04 B. Rothenstein , G. J. Spix

We present a mechanism for thermalizing a moving particle by microscopic deterministic scattering. As an example, we consider the periodic Lorentz gas. We modify the collision rules by including energy transfer between particle and…

chao-dyn · Physics 2009-10-31 R. Klages , K. Rateitschak , G. Nicolis

We introduce the theory of thermodynamic relativity, a unified framework for describing both entropies and velocities, and their respective disciplines of thermodynamics and kinematics, which share a surprisingly identical description with…

General Physics · Physics 2024-10-14 George Livadiotis , David J. McComas

This paper is a non-technical, informal presentation of our theory of the second law of thermodynamics as a law that is independent of statistical mechanics and that is derivable solely from certain simple assumptions about adiabatic…

Mathematical Physics · Physics 2009-10-31 Elliott H. Lieb , Jakob Yngvason

It is argued that a typical many body energy eigenstate has a well defined thermodynamic entropy and that individual eigenstates possess thermodynamic characteristics analogous to those of generic isolated systems. We examine large systems…

Statistical Mechanics · Physics 2015-05-14 J. M. Deutsch

A Lorentz gas may be defined as a system of fixed dispersing scatterers, with a single light particle moving among these and making specular collisions on encounters with the scatterers. For a dilute Lorentz gas with open boundaries in $d$…

Chaotic Dynamics · Physics 2009-11-10 Henk van Beijeren , Oliver Muelken

We provide a quantum statistical thermodynamical solution of the long standing problem of temperature transformations of uniformly moving bodies. Our treatment of this question is based on the well established quantum statistical result…

Mathematical Physics · Physics 2009-11-13 Geoffrey L. Sewell

In this paper we study the effects of Lorentz Symmetry Breaking on thermodynamics properties of ideal gases. Inspired in the dispersion relation came from the Carroll-Field-Jackiw model for Electrodynamics with Lorentz and CPT violation…

High Energy Physics - Theory · Physics 2015-05-28 J. A. de Sales , T. Costa-Soares , V. J. Vasquez Otoya

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

We show that the largely debated Planck-Einstein and Ott-Arzelies relativistic transformations of temperature do not satisfy the closure group property that two successive temperature transformations must be equivalent to a single…

Classical Physics · Physics 2022-04-28 José A. Heras , María G. Osorno

This work deals with the physical system governed by a Hamiltonian operator, in two-dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential in the context of…

Statistical Mechanics · Physics 2025-04-30 Bienvenu Gnim Adewi , Isiaka Aremua , Laure Gouba

Thermodynamics is based on the notions of energy and entropy. While energy is the elementary quantity governing physical dynamics, entropy is the fundamental concept in information theory. In this work, starting from first principles, we…

Statistical Mechanics · Physics 2017-10-25 Bernhard Altaner

Relativistic irreversible thermodynamics is reformulated following the conventional approach proposed by Meixner in the non-relativistic case. Clear separation between mechanical and non-mechanical energy fluxes is made. The resulting…

General Relativity and Quantum Cosmology · Physics 2015-06-25 L. S. Garcia-Colin , A. Sandoval-Villalbazo

We show how the macroscopic state variables pressure, entropy and temperature of equilibrium thermodynamics can be consistently derived from the (quantum) chaotic spectral structure of one or two particles in two-dimensional domains. This…

There is a long-standing question of whether it is possible to extend the formalism of equilibrium thermodynamics to the case of non-equilibrium systems in steady states. We have made such an extension for an ideal gas in a heat flow…

Statistical Mechanics · Physics 2023-01-31 Robert Hołyst , Karol Makuch , Konrad Giżyński , Anna Maciołek , Paweł J. Żuk

Approach to the thermodynamic limit of a non-relativistic ideal gas in a periodic box is investigated. The single particle wave function obeys twisted boundary condition, $\psi(L)=e^{i\theta}\psi(0)$ for which the free particle spectrum is…

Classical Physics · Physics 2025-12-09 Prabal Adhikari , Sona Baghiyan , Rayn Samson

We argue that on its face, entanglement theory satisfies laws equivalent to thermodynamics if the theory can be made reversible by adding certain bound entangled states as a free resource during entanglement manipulation. Subject to…

Quantum Physics · Physics 2009-11-07 Michal Horodecki , Jonathan Oppenheim , Ryszard Horodecki

In this work, we study the thermodynamic properties of a photon gas in a heat bath within the context of higher-derivative electrodynamics. Specifically, we analyze Podolsky's theory and its extension involving the Lorentz symmetry…

High Energy Physics - Theory · Physics 2021-04-22 A. A. Araújo Filho , R. V. Maluf

Using a game theory approach and a new extremal problem, Gibbs formula is proved in a most simple and general way for the classical mechanics case. A corresponding conjecture on the asymptotics of the classical entropy is formulated. For…

General Physics · Physics 2011-05-25 Lev Sakhnovich

A convenient model for estimating the total entropy ({\Sigma}Si) of atmospheric gases based on physical action is proposed. This realistic approach is fully consistent with statistical mechanics, but uses the properties of translational,…

Chemical Physics · Physics 2021-10-26 Ivan R. Kennedy , Harold Geering , Michael T. Rose , Angus N. Crossan