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We consider a quasistatic nonlinear model in thermoviscoelasticity at a finite-strain setting in the Kelvin-Voigt rheology where both the elastic and viscous stress tensors comply with the principle of frame indifference under rotations.…

Analysis of PDEs · Mathematics 2023-01-25 Rufat Badal , Manuel Friedrich , Martin Kružík

An analytical model for the postcollapse equilibrium structure of virialized objects which condense out of the cosmological background universe is described and compared with observations and simulations of cosmological halos. The model is…

Astrophysics · Physics 2007-05-23 Ilian T. Iliev , Paul R. Shapiro

Tunnelling Two-Level Systems (TLS) dominate the physics of glasses at low temperatures. Yet TLS are extremely rare and it is extremely difficult to directly observe them $\it{in \, silico}$. It is thus crucial to develop simple structural…

Disordered Systems and Neural Networks · Physics 2021-05-19 Dmytro Khomenko , David R. Reichman , Francesco Zamponi

We present the integrated mass profiles for a sample of ten nearby (z<=0.15), relaxed galaxy clusters, covering a temperature range of [2-9]keV, observed with XMM-Newton. The mass profiles were derived from the observed gas density and…

Astrophysics · Physics 2009-11-10 E. Pointecouteau , M. Arnaud , G. W. Pratt

N-body simulations of collisionless collapse have offered important clues to the construction of realistic stellar dynamical models of elliptical galaxies. Such simulations confirm and quantify the qualitative expectation that rapid…

Astrophysics · Physics 2009-11-10 G. Bertin , M. Trenti

A model one-dimensional self consistent steady state collisionless self-gravitating system in which all the particles have the same energy is presented. This has the remarkable property that the position and velocity of the particles…

Astrophysics of Galaxies · Physics 2026-01-07 Rajaram Nityananda

We investigated the validity of fluctuation-dissipation relations in the nonequilibrium stationary state of fluidized granular media under gravity by two independent approaches, based on theory and numerical simulations. A phenomenological…

Statistical Mechanics · Physics 2012-07-03 Jun'ichi Wakou , Masaharu Isobe

We study analytically the collapse of an initially smooth, cold, self-gravitating collisionless system in one dimension. The system is described as a central "S" shape in phase-space surrounded by a nearly stationary halo acting locally…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Stephane Colombi

We develop a field theoretical approach to the cold interstellar medium (ISM) and large structure of the universe. We show that a non-relativistic self- gravitating gas in thermal equilibrium with variable number of atoms or fragments is…

Astrophysics · Physics 2016-08-30 H. J. de Vega , N. Sánchez , F. Combes

We consider the non-relativistic Hartree model in the gravitational case, i.e. with attractive Coulomb-Newton interaction. For a given mass, we construct stationary states with non-zero temperature by minimizing the corresponding free…

Analysis of PDEs · Mathematics 2015-05-19 Gonca L. Aki , Jean Dolbeault , Christof Sparber

We study the development of gravitational instability in the strongly non-linear regime. For this purpose we use a number of statistical indicators such as filamentary statistics, spectrum of overdense/underdense regions and the void…

Astrophysics · Physics 2015-06-24 B. S. Sathyaprakash , V. Sahni , D. Munshi , D. Pogosyan , A. L. Melott

The most puzzling aspect of the 'strange metal' behavior of correlated electron compounds is that the linear in temperature resistivity often extends down to low temperatures, lower than natural microscopic energy scales. We consider…

Strongly Correlated Electrons · Physics 2020-08-10 Haoyu Guo , Yingfei Gu , Subir Sachdev

We revisit the issues on the thermodynamic property of stellar self-gravitating system arising from Tsallis' non-extensive entropy. Previous papers (Taruya & Sakagami, Physica A 307 (2002) 185 (cond-mat/0107494); ibid. (2002) in press…

Statistical Mechanics · Physics 2009-11-07 Atsushi Taruya , Masa-aki Sakagami

(abbreviated) The statistical mechanics of self-gravitating systems is a long-held puzzle. In this work, we employ a phenomenological entropy form of ideal gas, first proposed by White & Narayan, to revisit this issue. By calculating the…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-09 Ping He , Dong-Biao Kang

We study the statistical mechanics of classical self-gravitating systems confined within a box of radius $R$ in general relativity. It has been found that the caloric curve $T_{\infty}(E)$ has the form of a double spiral whose shape depends…

General Relativity and Quantum Cosmology · Physics 2020-12-24 Pierre-Henri Chavanis

In Newtonian gravity the final states of cold dissipationless collapses are characterized by several structural and dynamical properties remarkably similar to those of observed elliptical galaxies. Are these properties a peculiarity of the…

Astrophysics of Galaxies · Physics 2015-06-12 Pierfrancesco Di Cintio , Luca Ciotti , Carlo Nipoti

A luminosity-temperature relation for clusters of galaxies is derived. The two models used, take into account the angular momentum acquisition by the proto-structures during their expansion and collapse. The first one is a modification of…

Astrophysics · Physics 2009-11-13 A. Del Popolo , N. Hiotelis , J. Penarrubia

In this Chapter we illustrate the close connection between the violation of the weak equivalence principle typical of gravitational interactions at finite temperature, and similar violations induced by a breaking of the local Lorentz…

General Relativity and Quantum Cosmology · Physics 2023-02-13 M. Gasperini

We review the status of recent investigations on validating the gauge-gravity duality conjecture through numerical simulations of strongly coupled maximally supersymmetric thermal gauge theories. In the simplest setting, the gauge-gravity…

High Energy Physics - Theory · Physics 2015-10-12 Anosh Joseph

According to the Nernst theorem or, equivalently, the third law of thermodynamics, the absolute zero temperature is not attainable. Starting with an initial positive temperature, we show that there exist solutions to a Kelvin-Voigt model…

Analysis of PDEs · Mathematics 2024-07-03 Rufat Badal , Manuel Friedrich , Martin Kružík , Lennart Machill