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In this work we have analyzed the adsorption-desorption kinetics in the framework of the lattice gas model. We have shown that the coefficients representing the transition probabilities must be carefully chosen even when they fulfill the…

Statistical Mechanics · Physics 2008-06-02 S. Manzi , R. E. Belardinelli , G. Costanza , V. D. Pereyra

Recently, the phenomenological description of cosmological particle production processes in terms of effective viscous pressures has attracted some attention. Using a simple creation rate model we discuss the question to what extent this…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Josep Triginer , Winfried Zimdahl , Diego Pavon

Ideal gas is the most fundamental and simple system in thermodynamics, which has extensive applications in energy research and engineering. By reviewing the physical concept of ideal gas, it is found that the current understanding of ideal…

Classical Physics · Physics 2023-03-03 Yang Li , Jing Wu , Zeng-Yuan Guo

The isothermal compressibility of a general crystal is derived and discussed within (classical) density functional theory. Starting from the microscopic particle density, we carefully coarse grain to obtain the thermodynamic compressibility…

Soft Condensed Matter · Physics 2015-07-30 Christof Walz , Grzegorz Szamel , Matthias Fuchs

The search for thermodynamic admissibility moreover reveals a fundamental difference between liquids and gases in relativistic fluid dynamics, as the reversible convection mechanism is much simpler for liquids than for gases. In…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Laura Stricker , Hans Christian Öttinger

Two granular gases separated by an adiabatic piston and initially in the same macroscopic state are considered. It is found that a phase transition with an spontaneous symmetry breaking occurs. When the mass of the piston is increased…

Statistical Mechanics · Physics 2013-05-06 J. Javier Brey , Nagi Khalil

Building on the fundamental equation, this study revisits key thermodynamic concepts in a cohesive and innovative manner. It demonstrates the consistency of thermodynamic theory while addressing and clarifying common misconceptions and…

Statistical Mechanics · Physics 2025-07-04 Joaquim Anacleto

Molecular dynamics simulations of a three dimensional relativistic gas with a soft potential are conducted with different interactions and particle masses. For all cases the velocity distribution agrees numerically with the J\"uttner…

Statistical Mechanics · Physics 2020-10-07 Noah Kubli , Hans J. Herrmann

We generalize the adiabatic renormalization to theories with dispersion relations modified at energies higher than a new scale $M_C$. We obtain explicit expressions for the mean value of the stress tensor in the adiabatic vacuum, up to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Lopez Nacir , F. D. Mazzitelli , C. Simeone

he necessary and sufficient conditions for a unit time-like vector field to be the unit velocity of a classical ideal gas are obtained. In a recent paper [Coll, Ferrando and S\'aez, Phys. Rev D {\bf 99} (2019)] we have offered a purely…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Joan Josep Ferrando , Juan Antonio Sáez

Previously, we established a connection between the macroscopic classical laws of gases and the quantum mechanical description of molecules of an ideal gas (T. Yarman et al. arXiv:0805.4494). In such a gas, the motion of each molecule can…

Classical Physics · Physics 2009-06-08 Metin Arik , Tolga Yarman , Alexander L. Kholmetskii

We consider an ideal gas of massive hadrons in thermal and chemical equilibrium. The gas expands longitudinally in an adiabatic way. This evolution for a baryonless gas reduces to a hydrodynamic expansion. Cooling process is parametrized by…

High Energy Physics - Phenomenology · Physics 2009-10-28 Dariusz Prorok , Ludwik Turko

We propose a fundamental relation for a classical ideal gas that is valid at all temperatures with remarkable accuracy. All thermodynamical properties of classical ideal gases can be deduced from this relation at arbitrary temperature.

General Physics · Physics 2009-11-07 Palash B. Pal

In view of recent interest in the role of "dark" radiation in cosmology, such as cosmic gravitational waves, sterile neutrinos, and dark photons, we clarify the definition of adiabatic initial conditions in the kinetic theory of gases in an…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Guillem Domènech

Starting from a microscopic approach, we develop a covariant formalism to describe a set of interacting gases. For that purpose, we model the collision term entering the Boltzmann equation for a class of interactions and then integrate this…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jean-Philippe Uzan

This first article of a series formulates the thermodynamics of ideal gases in a constant gravitational field in terms of an action principle that is closely integrated with thermodynamics. The theory, in its simplest form, does not deviate…

General Physics · Physics 2015-05-13 Christian Frønsdal

It is shown that the usual identification of certain averages with the relativistic thermodynamical functions is not possible in the moving reference frame description. The Brownian motion approach is used as the Markovian kinetic…

Condensed Matter · Physics 2016-08-15 Ryszard Zygadło

In the extended phase space, a general method is used to derive all the possible adiabatic processes for charged AdS black hole. Two kinds are found, one is zero temperature adiabatic process which is irreversible, the other is isochore…

High Energy Physics - Theory · Physics 2017-01-18 Shanquan Lan , Wenbiao Liu

We derive a formula for the dry adiabatic lapse rate of atmospheres composed of real gases. We restrict our study to those described by a family of two-parameter cubic equations of state and the recent Guevara non-cubic equation. Since our…

Atmospheric and Oceanic Physics · Physics 2022-07-20 Bogar Díaz , Miguel Ángel García Ariza , J. E. Ramírez

We show that recent results on adiabatic theory for interacting gapped many-body systems on finite lattices remain valid in the thermodynamic limit. More precisely, we prove a generalised super-adiabatic theorem for the automorphism group…

Mathematical Physics · Physics 2024-06-19 Joscha Henheik , Stefan Teufel
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