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We develop a formulation of global thermodynamics for equilibrium systems under the influence of gravity. The free energy for simple fluids is extended to include a dependence on $(T, V, N, mgL)$, where $L$ represents the vertical system…

The Jeans analysis is studied in the first post-Newtonian limit. In other words, the relativistic effects on the local gravitational instability are considered for systems where characteristic velocity of the system and corresponding…

高能天体物理现象 · 物理学 2017-05-17 Elham Nazari , Ali Kazemi , Mahmood Roshan , Shahram Abbassi

A physical system is in local equilibrium if it cannot be distinguished from a global equilibrium by ``infinitesimally localized measurements''. This should be a natural characterization of local equilibrium, but the problem is to give a…

高能物理 - 理论 · 物理学 2007-05-23 Hermann Hessling

Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

偏微分方程分析 · 数学 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

It is shown, in the framework of the Thomas-Fermi model at finite temperature, that a cooling non-degenerate gas of massive neutrinos will, at a certain temperature, become unstable and undergo a first-order phase transition in which…

天体物理学 · 物理学 2007-05-23 Neven Bilic , Raoul D. Viollier

Thermal equilibrium states of local quantum many-body systems are notorious for their spatially decaying correlations, which place severe restrictions on the types of many-body entanglement structures that may be observed at finite…

量子物理 · 物理学 2024-07-24 Shachar Fraenkel , Moshe Goldstein

We present a framework for dark matter (DM) halo formation based on a kinetic theory of self-gravitating fermions together with a solid connection to thermodynamics. Based on maximum entropy arguments, this approach predicts a most likely…

星系天体物理 · 物理学 2026-01-09 A. Krut , C. R. Argüelles , P. -H. Chavanis

We investigate the quasi-equilibrium state of one-dimensional self-gravitating systems. If the null virial condition is satisfied at initial time, it is found that the number density around the center of the system at the quasi-equilibrium…

统计力学 · 物理学 2019-08-27 Tohru Tashiro

The basic cosmological predictions of a `polarizable-vacuum' theory of gravity due to Dicke, predating the scalar-tensor theory, are investigated and tested for their compliance with current observations. A Friedmann-like equation is…

天体物理学 · 物理学 2007-05-23 Michael Ibison

The lineshape of spectroscopic transitions offer windows into the local environment of a system. Here, we present a novel approach for connecting the lineshape of a molecular exciton to finite-temperature lattice vibrations within the…

斑图形成与孤子 · 物理学 2022-03-14 Eric R. Bittner , Carlos Silva , S. A. Shah , Hao Li

We construct magnetostatic models of coronal loops in which the thermodynamics of the loop is fully consistent with the shape and geometry of the loop. This is achieved by treating the loop as a thin, compact, magnetic fibril that is a…

太阳与恒星天体物理 · 物理学 2015-06-16 Bradley W. Hindman , Rekha Jain

The one-dimensional Lieb-Liniger Bose gas is a prototypical many-body system featuring universal Tomonaga-Luttinger liquid (TLL) physics and free fermion quantum criticality. We analytically calculate finite temperature local pair…

统计力学 · 物理学 2013-05-08 M. -S. Wang , J. -H. Huang , C. -H. Lee , X. -G. Yin , X. -W. Guan , M. T. Batchelor

We perform molecular dynamics simulations of repulsive athermal systems sheared at fixed normal load to study the effective temperature $T_L$ defined from time-dependent fluctuation-dissipation relations for density. We show that these…

软凝聚态物质 · 物理学 2009-11-10 Ning Xu , Corey S. O'Hern

We consider compact binary systems, modeled in general relativity as vacuum or perfect-fluid spacetimes with a helical Killing vector k^\alpha, heuristically, the generator of time-translations in a corotating frame. Systems that are…

广义相对论与量子宇宙学 · 物理学 2014-11-17 John L. Friedman , Koji Uryu , Masaru Shibata

We derive a necessary and sufficient condition for the thermalization of a local observable in a closed quantum system which offers an alternative explanation, independent of the eigenstate thermalization hypothesis, for the thermalization…

统计力学 · 物理学 2014-04-11 J. Sirker , N. P. Konstantinidis , F. Andraschko , N. Sedlmayr

We explore the possibility that the density profiles of elliptical galaxies and cold dark matter (CDM) halos found in cosmological simulations can be understood in terms of the same physical process, collisionless gravitational collapse. To…

宇宙学与河外天体物理 · 物理学 2012-06-27 Eli Visbal , Abraham Loeb , Lars Hernquist

In this paper, we study a linear system related to the 2d system of Euler equations with thermal conduction in the quasi-isobaric approximation of Kull-Anisimov [14]. This model is used for the study of the ablation front instability, which…

偏微分方程分析 · 数学 2007-07-03 Olivier Lafitte

The stability of a collisionless, magnetised plasma to local convective disturbances is examined, with a focus on kinetic and finite-Larmor-radius effects. Specific application is made to the outskirts of galaxy clusters, which contain hot…

高能天体物理现象 · 物理学 2017-01-04 Rui Xu , Matthew W. Kunz

Using a global equation of state, empirically derived by Luding, we accurately model the density profile of a two-dimensional hard sphere system with diameter D and mass m under gravity with a given temperature T [Physica A, 271, 192…

材料科学 · 物理学 2010-11-24 Alison E. Koser , Paul V. Quinn

The standard Large Deviation Theory (LDT) is mathematically illustrated by the Boltzmann-Gibbs factor which describes the thermal equilibrium of short-range-interacting many-body Hamiltonian systems, the velocity distribution of which is…

统计力学 · 物理学 2021-12-24 Ugur Tirnakli , Constantino Tsallis , Nihat Ay