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We investigate the statistical equilibrium properties of a system of classical particles interacting via Newtonian gravity, enclosed in a three-dimensional spherical volume. Within a mean-field approximation, we derive an equation for the…

Statistical Mechanics · Physics 2014-10-13 E. V. Votyakov , A. De Martino , D. H. E. Gross

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

The dynamic response of an interacting electron system is determined by an extension of the relaxation-time approximation forced to obey local conservation laws for number, momentum and energy. A consequence of these imposed constraints is…

Strongly Correlated Electrons · Physics 2009-11-07 G. S. Atwal , N. W. Ashcroft

Since the discovery of the accelerated expansion of the Universe, the constraints on the equation of state $w_\text{DE}$ of dark energy, the stress-energy component responsible for the acceleration, have tightened significantly. These…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-09 Fabian Schmidt

We present a Monte Carlo study of a lattice gas driven out of equilibrium by a local hopping bias. Sites can be empty or occupied by one of two types of particles, which are distinguished by their response to the hopping bias. All particles…

Statistical Mechanics · Physics 2009-11-11 Edward Lyman , B. Schmittmann

Evidence is presented for a recent evolution of the relaxation processes in clusters of galaxies, using large optical and X-ray cluster samples. The criteria of the cluster relaxation used are the cluster ellipticity, the ICM temperature…

Astrophysics · Physics 2009-11-07 Manolis Plionis

We study the long-time evolution of the bipartite entanglement in translationally invariant gapped harmonic lattice systems with finite-range interactions. A lower bound for the von Neumann entropy is derived in terms of the purity of the…

Quantum Physics · Physics 2011-07-12 R. G. Unanyan , M. Fleischhauer

Using the single-spin flipping dynamics, we study the nonequilibrium evolution near the entire phase boundary of the 3D Ising model, and find that the average of relaxation time (RT) near the first-order phase transition line (1st-PTL) is…

Statistical Mechanics · Physics 2024-03-13 Xiaobing Li , Yuming Zhong , Ranran Guo , Mingmei Xu , Yu Zhou , Jinghua Fu , Yuanfang Wu

A simplified version of a classical problem in thermodynamics -- the adiabatic piston -- is discussed in the framework of kinetic theory. We consider the limit of gases whose relaxation time is extremely fast so that the gases contained on…

Chaotic Dynamics · Physics 2009-11-11 Massimo Cencini , Luigi Palatella , Simone Pigolotti , Angelo Vulpiani

In this thesis, we aim to further elucidate the phenomenon of galaxy evolution in the environment of galaxy clusters using the methodology of numerical simulations. For that, we have developed hydrodynamic models in which idealized gas-rich…

Astrophysics of Galaxies · Physics 2019-02-15 Rafael Ruggiero

Liquid-gas phase coexistence in a boundary-driven diffusive system is studied by analyzing fluctuating hydrodynamics of a density field defined on a one-dimensional lattice with a space interval $\Lambda$. When an interface width $\ell$ is…

Statistical Mechanics · Physics 2024-11-28 Shin-ichi Sasa , Naoko Nakagawa

Solving the 4-d Einstein equations as evolution in time requires solving equations of two types: the four elliptic initial data (constraint) equations, followed by the six second order evolution equations. Analytically the constraint…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Matthew Anderson , Richard A. Matzner

In this work we revisit the problem of equilibration in isolated many-body interacting quantum systems. We pay particular attention to quantum chaotic Hamiltonians, and rather than focusing on the properties of the asymptotic states and how…

Statistical Mechanics · Physics 2022-11-09 Manuel H Muñoz-Arias

The driven lattice gas (DLG) evolving at low temperature helps understanding the kinetics of pattern formation in unstable mixtures under anisotropic conditions. We here develop a simple theoretical description of kinetics in Monte Carlo…

Statistical Mechanics · Physics 2009-11-10 Pablo I. Hurtado , J. Marro , Pedro L. Garrido , E. V. Albano

This work is concerned with determination of the steady-state structure of time-independent Lindblad master equations, especially those possessing more than one steady state. The approach here is to treat Lindblad systems as generalizations…

Quantum Physics · Physics 2014-02-24 Victor V. Albert , Liang Jiang

We use computer simulations to study the relaxation dynamics of a model for oil-in-water microemulsion droplets linked with telechelic polymers. This system exhibits both gel and glass phases and we show that the competition between these…

Soft Condensed Matter · Physics 2015-05-29 Pinaki Chaudhuri , Pablo I. Hurtado , Ludovic Berthier , Walter Kob

This paper investigates the long time dynamics of interacting particle systems subject to singular interactions. We consider a microscopic system of $N$ interacting point particles, where the time evolution of the joint distribution…

Analysis of PDEs · Mathematics 2024-12-10 Alexis Béjar-López , Alain Blaustein , Pierre-Emmanuel Jabin , Juan Soler

We study stochastic particle systems that conserve the particle density and exhibit a condensation transition due to particle interactions. We restrict our analysis to spatially homogeneous systems on finite lattices with stationary product…

Statistical Mechanics · Physics 2018-05-09 Thomas Rafferty , Paul Chleboun , Stefan Grosskinsky

We use the isoconfigurational (IC) ensemble to show the connection between emerging heterogeneities in the tetrahedral order parameter and the dynamic propensity in a mildly undercooled glass-forming liquid. We observe that spatially…

Soft Condensed Matter · Physics 2021-01-18 M Shajahan G Razul , Gurpreet S Matharoo , Balakrishnan Viswanathan

We study the quasi-stationary evolution of systems where an energetic confinement is unable to completely retain their constituents. It is performed an extensive numerical study of a gas whose dynamics is driven by binary encounters and its…

Statistical Mechanics · Physics 2007-05-23 L. Velazquez , H. Mosquera Cuesta , F. Guzman
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