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Astrophysical systems will never be in a real Thermodynamic equilibrium: they undergo an evaporation process due to the fact that the gravity is not able to confine the particles. Ordinarily, this difficulty is overcome by enclosing the…

Statistical Mechanics · Physics 2009-11-10 L. Velazquez , F. Guzman

Atmospheric systems incorporating thermal dynamics must be stable with respect to both energy and entropy. While energy conservation can be enforced via the preservation of the skew-symmetric structure of the Hamiltonian form of the…

Numerical Analysis · Mathematics 2023-10-31 Kieran Ricardo , David Lee , Kenneth Duru

We study the relations among the chemical potentials of paired and unpaired particles in a cold asymmetrical fermionic mixed phase in thermodynamical equilibrium. We show how the chemical potentials are expressed in terms of the parameters…

Superconductivity · Physics 2011-11-09 Heron Caldas

The one-component Coulomb gas on the sphere, consisting on $N$ unit charges interacting via a logarithmic potential, and in the presence of two external charges each of strength proportional to $N$, is considered. There are two spherical…

Mathematical Physics · Physics 2025-01-10 Sung-Soo Byun , Peter J. Forrester , Sampad Lahiry

We use an idealized three-dimensional general circulation model to study condensible-rich atmospheres with an ineffective cold trap on slowly rotating tidally locked terrestrial planets. In particular, we show the climate dynamics in a thin…

Earth and Planetary Astrophysics · Physics 2020-10-05 Feng Ding , Raymond T. Pierrehumbert

This work is devoted to the consistent modeling of a three-phase mixture of a gas, a liquid and its vapor. Since the gas and the vapor are mis-cible, the mixture is subjected to a non-symmetric constraint on the volume. Adopting the Gibbs…

Analysis of PDEs · Mathematics 2017-10-13 Hélène Mathis

In the preceding paper, the structure and thermodynamics of a given quantum system was represented by a corresponding classical system having an effective temperature, local chemical potential, and pair potential. Here, that formal…

Statistical Mechanics · Physics 2013-03-14 Sandipan Dutta , James Dufty

Experiments with trapped atomic gases have opened novel possibilities for studying the evolution of nonequilibrium finite quantum systems, which revived the necessity of reconsidering and developing the theory of such processes. This review…

Statistical Mechanics · Physics 2012-01-16 V. I. Yukalov

In the present study it is shown that the interaction of a quasi-static gravitational wave through density fluctuations gives rise to a heat conductivity coefficient and hence temperature. This fact is a very important characteristics to…

General Physics · Physics 2015-10-28 S. O. Gladkov , Anil Yadav , Saibal Ray , F. Rahaman

Systems biology uses large networks of biochemical reactions to model the functioning of biological cells from the molecular to the cellular scale. The dynamics of dissipative reaction networks with many well separated time scales can be…

Molecular Networks · Quantitative Biology 2013-05-28 Vincent Noel , Dima Grigoriev , Sergei Vakulenko , Ovidiu Radulescu

Equilibrium properties of many-body systems with a large number of degrees of freedom are generally expected to be described by statistical mechanics. Such expectations are closely tied to the observation of thermalization, as manifested…

Quantum Gases · Physics 2025-08-08 Yulong Qiao , Frank Großmann , Peter Schlagheck , Gabriel M. Lando

In particular, without the greenhouse effect, essential features of the atmospheric temperature profile as a function of height cannot be described, i.e., the existence of the tropopause above which we see an almost isothermal temperature…

Atmospheric and Oceanic Physics · Physics 2009-11-24 Jochen Ebel

We show that for any liquid or solid with strong correlation between its $NVT$ virial and potential-energy equilibrium fluctuations, the temperature is a product of a function of excess entropy per particle and a function of density,…

Soft Condensed Matter · Physics 2012-03-13 Trond S. Ingebrigtsen , Lasse Bøhling , Thomas B. Schrøder , Jeppe C. Dyre

The features for the unsteady process of thermal equilibration ("the fast motions") in a one-dimensional harmonic crystal lying in a viscous environment (e.g., a gas) are under investigation. It is assumed that initially the displacements…

Statistical Mechanics · Physics 2021-02-16 Serge N. Gavrilov , Anton M. Krivtsov

A numerical solution of Einstein field equations for a spherical symmetric and stationary system of identical and auto-gravitating particles in phase transition is presented. The fluid possess a perfect fluid energy momentum tensor, and the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jose D. Polanco , Patricio S. Letelier , Maximiliano Ujevic

The article sets forth comprehensive basics of thermodynamics of chemical equilibrium as balance of the thermodynamic forces. Based on the linear equations of irreversible thermodynamics, De Donder definition of the thermodynamic force, and…

Chemical Physics · Physics 2007-05-23 B. Zilbergleyt

We reveal a correspondence between temperature and integrability-breaking in classical and quantum many-body systems through the lens of geometry and adiabatic transformations. Decreasing the temperature, obtained in a standard way through…

Statistical Mechanics · Physics 2026-04-03 Hyeongjin Kim , Souvik Bandyopadhyay , Anatoli Polkovnikov

We consider the oscillations of the atmosphere around a stratified back ground density and entropy distribution under the gravitation on the flat Earth. The atmosphere is supposed to be an ideal gas and the motion is supposed to be governed…

Analysis of PDEs · Mathematics 2020-09-25 Tetu Makino

The condition for pressure isotropy, for spherically symmetric gravitational fields with charged and uncharged matter, is reduced to a recurrence equation with variable, rational coefficients. This difference equation is solved in general…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. D. Maharaj , S. Thirukkanesh

One-dimensional (vertical) models of planetary atmospheres typically balance the net solar and internal energy fluxes against the net thermal radiative and convective heat fluxes to determine an equilibrium thermal structure. Thus,simple…

Earth and Planetary Astrophysics · Physics 2019-04-17 Juan P. Tolento , Tyler D. Robinson
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