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We derive diffusive macroscopic equations for the particle and energy density of a system whose time evolution is described by a kinetic equation for the one particle position and velocity function f(r,v,t) that consists of a part that…

统计力学 · 物理学 2018-11-14 Pedro L. Garrido , Joel L. Lebowitz

Within all approaches to quantum gravity small violations of the Einstein Equivalence Principle are expected. This includes violations of Lorentz invariance. While usually violations of Lorentz invariance are introduced through the coupling…

广义相对论与量子宇宙学 · 物理学 2014-11-18 Claus Laemmerzahl , Dennis Lorek , Hansjoerg Dittus

The Navier--Stokes transport coefficients of multicomponent granular suspensions at moderate densities are obtained in the context of the (inelastic) Enskog kinetic theory. The suspension is modeled as an ensemble of solid particles where…

统计力学 · 物理学 2020-01-20 Rubén Gómez González , Nagi Khalil , Vicente Garzó

Granular matter under rapid flow conditions can be modeled as a granular gas, namely, a gas of hard spheres dissipating part of their kinetic energy during binary collisions (inelastic hard spheres, IHS). On the other hand, given that…

软凝聚态物质 · 物理学 2018-03-28 Moisés G. Chamorro

We study the quantum motion of an impurity atom immersed in a Bose Einstein condensate in arbitrary dimension. The Bogoliubov excitations of the Bose Einstein condensate act as a bosonic bath for the impurity. We present a detailed…

Diffusive transport of a particle in spatially correlated random energy landscape having exponential density of states has been considered. We exactly calculate the diffusivity in the nondispersive quasi-equilibrium transport regime and…

无序系统与神经网络 · 物理学 2018-02-14 S. V. Novikov

This article presents a common setting for the collision integrals $\mathrm{St}$ appearing in the kinetic theory of dense gases. It includes the collision integrals of the Enskog equation, of (a variant of) the Povzner equation, and of a…

数学物理 · 物理学 2024-12-24 Frédérique Charles , Zhe Chen , François Golse

Here we develop the connection between thermodynamics, entanglement, and gravity. By attributing thermodynamics to timeslices of a causal diamond, we show that the Clausius relation $T\Delta S_{\text{rev}}=Q$, where $\Delta S_{\text{rev}}$…

高能物理 - 理论 · 物理学 2019-04-17 Andrew Svesko

We present a novel derivation of Einstein equations from the balance between Clausius entropy crossing the boundary of a local causal diamond and entanglement entropy associated with its horizon. Comparing this derivation with the…

广义相对论与量子宇宙学 · 物理学 2020-11-25 Ana Alonso-Serrano , Marek Liška

A granular gas composed of inelastic hard spheres or disks in the homogeneous cooling state is considered. Some of the particles are labeled and their number density exhibits a time-independent linear profile along a given direction. As a…

统计力学 · 物理学 2015-06-18 J. Javier Brey , M. J. Ruiz-Montero

The characterization of the distance from equilibrium is a debated problem in particular in the treatment of experimental signals. If the signal is a 1-dimensional time-series, such a goal becomes challenging. A paradigmatic example is the…

统计力学 · 物理学 2023-08-24 Dario Lucente , Massimiliano Viale , Andrea Gnoli , Andrea Puglisi , Angelo Vulpiani

The method employed by Einstein to derive his famous relation between the diffusion coefficient and the friction coefficient of a Brownian particle is used to derive a generalized Einstein relation for the mutual diffusion coefficient of a…

流体动力学 · 物理学 2017-09-13 B. U. Felderhof

We investigate the relation between the standard Newtonian equations for a pressureless fluid (dust) and the Einstein equations in a double expansion in small scales and small metric perturbations. We find that parts of the Einstein…

宇宙学与河外天体物理 · 物理学 2014-03-17 Michael Kopp , Cora Uhlemann , Thomas Haugg

In this paper, we investigate the fluid/gravity correspondence in the framework of massive Einstein gravity. Treating the gravitational mass terms as an effective energy-momentum tensor and utilizing the Petrov-like boundary condition on a…

高能物理 - 理论 · 物理学 2016-11-18 Wen-Jian Pan , Yong-Chang Huang

We define the stretched future light cone, a timelike hypersurface composed of the worldlines of radially accelerating observers with constant and uniform proper acceleration. By attributing temperature and entropy to this hypersurface, we…

高能物理 - 理论 · 物理学 2018-08-29 Maulik Parikh , Andrew Svesko

Careful analysis of parametrized variational principles in mechanics and field theory leads to a generalization of Einstein theory that includes a cosmological stress tensor. This generalization also follows by restricting variations of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Arlen Anderson

The Enskog kinetic theory for moderately dense inertial suspensions under simple shear flow is considered as a model to analyze the rheological properties of the system. The influence of the background fluid on suspended particles is…

统计力学 · 物理学 2020-08-27 Satoshi Takada , Hisao Hayakawa , Andrés Santos , Vicente Garzó

The empirical mass discrepancy-acceleration (MDA) relation of disk galaxies provides a key test for models of galactic dynamics. In terms of modified laws of gravity and/or inertia, the MDA relation quantifies the transition from Newtonian…

星系天体物理 · 物理学 2015-06-16 Sascha Trippe

While accurate simulations of dense gas flows far from the equilibrium can be achieved by Direct Simulation adapted to the Enskog equation, the significant computational demand required for collisions appears as a major constraint. In order…

计算物理 · 物理学 2023-08-11 Mohsen Sadr , M. Hossein Gorji

In a recent paper, arxiv:1402.6362, Gamayun, Lychkovskiy, and Cheianov studied the dynamics of a mobile impurity embedded into a one-dimensional Tonks-Girardeau gas of strongly interacting bosons. Employing the Boltzmann equation approach,…

量子气体 · 物理学 2015-09-28 Michael Schecter , Alex Kamenev , Dimitri M. Gangardt