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The Green-Kubo-Nakano formula should be modified in relativistic hydrodynamics because of the problem of acausality and the breaking of sum rules. In this work, we propose a formula to calculate the transport coefficients of causal…

核理论 · 物理学 2008-11-26 T. Koide

Magnetohydrodynamics of strongly magnetized relativistic fluids is derived in the ideal and dissipative cases, taking into account the breaking of spatial symmetries by a quantizing magnetic field. A complete set of transport coefficients,…

高能天体物理现象 · 物理学 2015-05-30 Xu-Guang Huang , Armen Sedrakian , Dirk H. Rischke

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

Transport coefficients of causal dissipative relativistic fluid dynamics (CDR) are studied in quenched lattice simulations. CDR describes the behavior of relativistic non-Newtonian fluids in which the relaxation time appears as a new…

高能物理 - 格点 · 物理学 2010-12-13 Yu Maezawa , Hiroaki Abuki , Tetsuo Hatsuda , Tomoi Koide

The theory of fluctuating hydrodynamics has been an important tool for analyzing macroscopic behavior in nonlinear lattices. However, despite its practical success, its microscopic derivation is still incomplete. In this work, we provide…

统计力学 · 物理学 2021-07-07 Keiji Saito , Masaru Hongo , Abhishek Dhar , Shin-ichi Sasa

Based on the Nakajima-Zubarev type nonequilibrium density operator, we derive microscopic formulae of the transport coefficients in the second order hydrodynamics.

核理论 · 物理学 2015-06-03 Shin Muroya

We present generalized Green-Kubo expressions for thermal transport coefficients $\mu$ in non-conservative fluid-type systems, of the generic form, $\mu$ $= \mu_\infty$ $+\int^\infty_0 dt V^{-1} \av{I_\epsilon \exp(t {\cal L}) I}_0$ where…

统计力学 · 物理学 2007-05-23 M. H. Ernst , R. Brito

We show that relativistic fluids behave as non-Newtonian fluids. First, we discuss the problem of acausal propagation in the diffusion equation and introduce the modified Maxwell-Cattaneo-Vernotte (MCV) equation. By using the modified MCV…

高能物理 - 唯象学 · 物理学 2015-05-20 Tomoi Koide

We derive the equations of motion of relativistic, non-resistive, second-order dissipative magnetohydrodynamics from the Boltzmann equation using the method of moments. We assume the fluid to be composed of a single type of point-like…

The transport coefficients of causal relativistic dissipative fluid dynamics are calculated both in a field-theoretical and a kinetic approach. We find that the results from the traditional kinetic calculation by Israel and Stewart are…

高能物理 - 理论 · 物理学 2013-05-24 Gabriel S. Denicol , Xu-Guang Huang , Tomoi Koide , Dirk H. Rischke

A recently introduced particle-based model for fluid flow, called Stochastic Rotation Dynamics, can be made Galilean invariant by introducing a random shift of the computational grid before collisions. In this paper, it is shown how the…

软凝聚态物质 · 物理学 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

Transport coefficients in non-conformal second-order hydrodynamics can be classified as either dynamical or thermodynamical. We derive Kubo formuale for the thermodynamical coefficients and compute them at leading perturbative order in a…

高能物理 - 唯象学 · 物理学 2012-12-05 Guy D. Moore , Kiyoumars A. Sohrabi

Equilibrium molecular dynamics simulations, in combination with the Green-Kubo (GK) method, have been extensively used to compute the thermal conductivity of liquids. However, the GK method relies on an ambiguous definition of the…

计算物理 · 物理学 2020-09-30 Bingqing Cheng , Daan Frenkel

We present a new derivation of relativistic second-order dissipative hydrodynamics for quantum systems using Zubarev's non-equilibrium statistical-operator formalism. This is achieved by a systematic expansion of the energy-momentum tensor…

核理论 · 物理学 2022-02-02 Arus Harutyunyan , Armen Sedrakian , Dirk H. Rischke

We investigate coefficients in the Israel-Stewart's causal hydrodynamics and discuss the way to calculate them with a microscopic theory. Based on the hadro-molecular simulation based on an event generator URASiMA, we evaluate the…

高能物理 - 唯象学 · 物理学 2007-05-23 Shin Muroya

Physical parameters characterising electrokinetic transport in a confined electrolyte solution are reconstructed from the generic transport coefficients obtained within the classical non-equilibrium statistical thermodynamic framework. The…

软凝聚态物质 · 物理学 2014-11-18 Hiroaki Yoshida , Hideyuki Mizuno , Tomoyuki Kinjo , Hitoshi Washizu , Jean-Louis Barrat

We derive the second-order hydrodynamic equation and the microscopic formulae of the relaxation times as well as the transport coefficients systematically from the relativistic Boltzmann equation. Our derivation is based on a novel…

高能物理 - 唯象学 · 物理学 2016-02-01 Kyosuke Tsumura , Yuta Kikuchi , Teiji Kunihiro

We present a generalization of the Green-Kubo expressions for thermal transport coefficients $\mu$ in complex fluids of the generic form, $\mu= \mu_\infty +\int^\infty_0 dt V^{-1} < J_\epsilon \exp(t {\cal L}) J >_0$, i.e. a sum of an…

统计力学 · 物理学 2007-05-23 M. H. Ernst , R. Brito

We derive equations for fluid dynamics from a non-extensive Boltzmann transport equation consistent with Tsallis' non-extensive entropy formula. We evaluate transport coefficients employing the relaxation time approximation and investigate…

核理论 · 物理学 2015-05-30 T. S. Biro , E. Molnar

Green-Kubo and Einstein expressions for the transport coefficients of a fluid in a nonequilibrium steady state can be derived using the Fluctuation Theorem and by assuming the probability distribution of the time-averaged dissipative flux…

统计力学 · 物理学 2009-10-31 Debra J. Searles , Denis J. Evans
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