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I review recent and not so recent progress on formulating and numerically implementing a consistent set of relativistic equations which describe the space-time evolution of viscous relativistic fluids without violating causality.

核理论 · 物理学 2007-05-23 Ulrich W. Heinz

We derive the dispersion relation for linearized small-amplitude gravity waves for various choices of non-constant vorticity. To the best of our knowledge, this relation is only known explicitly in the case of constant vorticity. We provide…

流体动力学 · 物理学 2016-01-20 Paschalis Karageorgis

Non-equilibrium radiation is addressed theoretically by means of a stochastic lattice-gas model. We consider a resonating transmission line composed of a chain of radiation resonators, each at a local equilibrium, whose boundaries are in…

统计力学 · 物理学 2022-07-05 Boris Rotstein , Eric Akkermans

We derive multicomponent relativistic second-order dissipative fluid dynamics from the Boltzmann equations for a reactive mixture of $N_{\text{spec}}$ particle species with $N_q$ intrinsic quantum numbers (e.g. electric charge, baryon…

核理论 · 物理学 2022-08-31 Jan A. Fotakis , Etele Molnár , Harri Niemi , Carsten Greiner , Dirk H. Rischke

In order to study as a whole a wide part of entropy measures, we introduce a two-parameter non-extensive entropic form with respect to the $h$-derivative, which generalizes the conventional Newton--Leibniz calculus. This new entropy,…

统计力学 · 物理学 2023-06-14 Jin-Wen Kang , Ke-Ming Shen , Ben-Wei Zhang

We extend the derivation of second-order relativistic viscous hydrodynamics to incorporate the effects of baryon current, a non-vanishing chemical potential, and a realistic equation of state. Starting from a microscopic quantum theory, we…

高能物理 - 唯象学 · 物理学 2024-12-10 Asaad Daher , Leonardo Tinti , Amaresh Jaiswal , Radoslaw Ryblewski

We provide a complete derivation of hydrodynamic equations for nonrelativistic systems based on quantum field theories of spinless Schr\"odeinger fields, assuming that an initial density operator takes a special form of the local Gibbs…

统计力学 · 物理学 2021-10-07 Masaru Hongo

The time derivative of the charge density is linked to the current density by the continuity equation. However, it features only the longitudinal part of a current density, which is known to produce no radiation. This fact usually remains…

光学 · 物理学 2022-01-21 Nikita Nemkov , Vassili Fedotov

We derive the Hydrodynamics for a system of N active, spherical, underdamped particles, interacting through conservative forces. At the microscopic level, we represent the evolution of the particles in terms of the Kramers equation for the…

统计力学 · 物理学 2022-03-15 Umberto Marini Bettolo Marconi , Andrea Puglisi , Lorenzo Caprini

In the causal theory of relativistic dissipative fluid dynamics, there are conditions on the equation of state and other thermodynamic properties such as the second-order coefficients of a fluid that need to be satisfied to guarantee that…

核理论 · 物理学 2008-11-26 Azwinndini Muronga

Non-ideal fluid dynamics with cylindrical symmetry in transverse direction and longitudinal scaling flow is employed to simulate the space-time evolution of the quark-gluon plasma produced in heavy-ion collisions at RHIC energies. The…

核理论 · 物理学 2007-05-23 Azwinndini Muronga , Dirk H. Rischke

In this paper, we derive exponential ergodicity in relative entropy for general kinetic SDEs under a partially dissipative condition. It covers non-equilibrium situations where the forces are not of gradient type and the invariant measure…

概率论 · 数学 2025-07-10 Xing Huang , Eva Kopfer , Pierre Monmarché , Panpan Ren

We explore the relationship between linear and non-linear causality in theories of dissipative relativistic fluid dynamics. While for some fluid-dynamical theories, a linearized causality analysis can be used to determine whether the full…

高能物理 - 理论 · 物理学 2024-11-08 Raphael E. Hoult , Pavel Kovtun

The non-equilibrium thermodynamics of relativistic systems have a rich phenomenology. The simplest phenomenon in the class of dissipative processes is that of heat. This letter presents a brief summary of the efforts made to tackle the…

广义相对论与量子宇宙学 · 物理学 2010-12-01 C. S. Lopez-Monsalvo

We study the dynamics of density fluctuations in purely diffusive systems away from equilibrium. Under some conditions the static density correlation function becomes long-ranged. We then analyze this behavior in the framework of…

凝聚态物理 · 物理学 2009-10-22 I. Pagonabarraga , M. Rubi

Relativistic hydrodynamics of classic plasmas is derived from the microscopic model in the limit of ideal plasmas. The chain of equations is constructed step by step starting from the concentration evolution. It happens that the energy…

等离子体物理 · 物理学 2023-08-09 Pavel A. Andreev

This paper shows how mesoscopic nonequilibrium thermodynamics can be applied to condensation and evaporation. By extending the normal set of thermodynamic variables with two internal variables, we are able to give a new theoretical…

统计力学 · 物理学 2009-11-10 D. Bedeaux , S. Kjelstrup , J. M. Rubi

The relativistic hydrodynamical equations are being examined with the aim of extracting the quantum-mechanical equations (the relativistic Klein-Gordon equation and the Schr\"odinger equation in the non-relativistic limit). In both cases it…

综合物理 · 物理学 2015-10-12 Valeriy I. Sbitnev

We present a new formalism for the theory of relativistic dissipative hydrodynamics. Here, we look for the minimal structure of such a theory which satisfies the covariance and causality by introducing the memory effect in irreversible…

高能物理 - 唯象学 · 物理学 2008-11-26 T. Koide , G. S. Denicol , Ph. Mota , T. Kodama

The relativistic hydrodynamic model is applied to describe the expansion of the dense matter formed in relativistic heavy-ion collisions. The hydrodynamic expansion of the fluid, supplemented with the statistical emission of hadrons at…

核理论 · 物理学 2012-03-27 Piotr Bozek