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In this work, the causality and stability of a first-order relativistic dissipative hydrodynamic theory, that redefines the hydrodynamic fields from a first principle microscopic estimation, have been analyzed. A generic approach of…

核理论 · 物理学 2022-06-08 Sukanya Mitra

Following the recently proposed stable and causal first-order relativistic hydrodynamics by Bemfica, Disconzi, and Noronha, we find the heat flow equation in the presence of gravity for a non-viscous fluid, which suffers heat dissipation.…

广义相对论与量子宇宙学 · 物理学 2025-05-07 Bhera Ram , Bibhas Ranjan Majhi

We consider a model for an incompressible visoelastic fluid. It consists of the Navier-Stokes equations involving an elastic term in the stress tensor and a transport equation for the evolution of the deformation gradient. The novel feature…

偏微分方程分析 · 数学 2019-10-23 Martin Kalousek

We study heat transport in a one-dimensional inhomogeneous quantum spin 1/2 system. It consists of a finite-size XX spin chain coupled at its ends to semi-infinite XX and XY chains at different temperatures, which play the role of heat and…

强关联电子 · 物理学 2015-05-13 Liliana Arrachea , Gustavo S. Lozano , A. A. Aligia

A complete classification of integrable conservative hydrodynamic chains is presented. These hydrodynamic chains are written via special coordinates -- moments, such that right hand sides of these infinite component systems depend linearly…

可精确求解与可积系统 · 物理学 2009-12-31 Maxim V. Pavlov , Sergej A. Zykov

We show that it is possible to define a timelike future-directed information current within relativistic first-order hydrodynamics. This constitutes the first step toward a covariantly stable and causal formulation of first-order…

核理论 · 物理学 2024-04-18 Lorenzo Gavassino , Nick Abboud , Enrico Speranza , Jorge Noronha

We study linearized stability in first-order relativistic viscous hydrodynamics in the most general frame. There is a region in the parameter space of transport coefficients where the perturbations of the equilibrium state are stable. This…

高能物理 - 理论 · 物理学 2019-10-22 Pavel Kovtun

We develop the theory of hydrodynamic charge and heat transport in strongly interacting quasi-relativistic systems on manifolds with inhomogeneous spatial curvature. In solid-state physics, this is analogous to strain disorder in the…

强关联电子 · 物理学 2017-08-30 Vincenzo Scopelliti , Koenraad Schalm , Andrew Lucas

We consider initial-boundary-value problems for a class of nonlinear third order equations having non-autonomous forcing terms and get new asymptotic stability results by means of the Liapunov second method. The class includes equations…

数学物理 · 物理学 2012-09-28 Armando D'Anna , Gaetano Fiore

We outline the hybrid framework of spin hydrodynamics, combining classical kinetic theory with the Israel-Stewart method of introducing dissipation. We obtain the local equilibrium expressions for the baryon current, the energy-momentum…

高能物理 - 唯象学 · 物理学 2025-08-18 Zbigniew Drogosz

In this article a correspondence has been established between the out of equilibrium system dissipation and the thermodynamic field redefinition of the macroscopic variables through the momentum dependent relaxation time approximation…

核理论 · 物理学 2022-01-19 Sukanya Mitra

We present a versatile perturbative calculation scheme to determine the mobility matrix for two and more particles in a low Reynolds number fluid with spatially variant viscosity. Assuming an asymptotic non-constant viscosity perturbation…

流体动力学 · 物理学 2022-06-29 Sebastian Ziegler , Ana-Sunčana Smith

We determine the most general form of the equations of relativistic superfluid hydrodynamics consistent with Lorentz invariance, time-reversal invariance, the Onsager principle and the second law of thermodynamics at first order in the…

高能物理 - 理论 · 物理学 2014-10-31 Jyotirmoy Bhattacharya , Sayantani Bhattacharyya , Shiraz Minwalla , Amos Yarom

We construct the general hydrodynamic description of (3+1)-dimensional chiral charged (quantum) fluids subject to a strong external magnetic field with effective field theory methods. We determine the constitutive equations for the…

We perform the linear analysis of causality and stability for a minimal extended spin hydrodynamics up to second order of the gradient expansion. The first order spin hydrodynamics, with a rank-3 spin tensor being antisymmetric for only the…

高能物理 - 唯象学 · 物理学 2023-11-23 Xin-Qing Xie , Dong-Lin Wang , Chen Yang , Shi Pu

Part of the field dependent dissipation in ferrofluids occurs due to the rotational motion of the ferromagnetic grains relative to the viscous flow of the carrier fluid. The classical theoretical description due to Shliomis uses a…

patt-sol · 物理学 2009-10-31 Hanns Walter Müller , Andreas Engel

In this study, we investigate the linear transport of neutral system within the framework of relativistic kinetic theory. Under the relaxation time approximation, we obtain an iterative solution to the relativistic Boltzmann equation in…

广义相对论与量子宇宙学 · 物理学 2025-04-22 Long Cui , Xin Hao , Liu Zhao

The semiclassical Boltzmann transport equation of charged, massive fermions in a rotating frame of reference, in the presence of external electromagnetic fields is solved in the relaxation time approach to establish the distribution…

数学物理 · 物理学 2018-03-02 O. F. Dayi , E. Yunt

We study the finite-temperature dynamical spin susceptibility of the one-dimensional (generalized) anisotropic Heisenberg model within the hydrodynamic regime of small wave vectors and frequencies. Numerical results are analyzed using the…

强关联电子 · 物理学 2012-09-10 J. Herbrych , R. Steinigeweg , P. Prelovšek

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