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Starting from the Boltzmann equation in the relaxation time approximation and employing a Chapman-Enskog like expansion for the distribution function close to equilibrium, we derive second-order evolution equations for the shear stress…

核理论 · 物理学 2015-11-18 Amaresh Jaiswal , Bengt Friman , Krzysztof Redlich

In this note we have tried to determine how the existence of a local entropy current with non-negative divergence constrains the second order transport coefficients of an uncharged fluid, following the procedure described in…

高能物理 - 理论 · 物理学 2015-06-03 Sayantani Bhattacharyya

We develop a relativistic (quasi-)hydrodynamic framework, dubbed the gyrohydrodynamics, to describe fluid dynamics of many-body systems with spin under strong vorticity based on entropy-current analysis. This framework generalizes the…

高能物理 - 理论 · 物理学 2022-10-04 Zheng Cao , Koichi Hattori , Masaru Hongo , Xu-Guang Huang , Hidetoshi Taya

We present a first-order dissipative spin hydrodynamic framework, where the spin chemical potential $\omega^{\mu\nu}$ is treated as the leading term in the hydrodynamic gradient expansion, i.e., $\omega^{\mu\nu}\sim \mathcal{O}(1)$. We…

核理论 · 物理学 2024-10-08 Sourav Dey , Arpan Das

Using the Zubarev's nonequilibrium statistical operator formalism, we derive the second-order expression for the dissipative tensors in relativistic spin hydrodynamics, {\em viz.} rotational stress tensor ($\tau_{\mu\nu}$), boost heat…

高能物理 - 理论 · 物理学 2025-08-26 Abhishek Tiwari , Binoy Krishna Patra

While conventional hydrodynamics incorporating dissipative effects is hard to derive from an action principle, it is nevertheless possible to construct classical actions when the dissipative terms are switched off. In this note we undertake…

高能物理 - 理论 · 物理学 2014-03-04 Jyotirmoy Bhattacharya , Sayantani Bhattacharyya , Mukund Rangamani

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 present review analyzes and compares various types of dissipationless spin transport: (1) Superfluid transport, when the spin-current state is a metastable state (a local but not the absolute minimum in the parameter space). (2)…

其他凝聚态物理 · 物理学 2012-08-09 E. B. Sonin

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

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

Hydrodynamics can be formulated as the gradient expansion of conserved currents in terms of the fundamental fields describing the near-equilibrium fluid flow. In the relativistic case, the Navier-Stokes equations follow from the…

高能物理 - 理论 · 物理学 2017-10-06 Sašo Grozdanov , Nikolaos Kaplis

Dissipative processes in relativistic fluids are known to be important in the analyses of the hot QCD matter created in high-energy heavy-ion collisions. In this work, I consider dissipative corrections to energy and conserved charge…

核理论 · 物理学 2018-10-08 Akihiko Monnai

Starting from kinetic theory description of massive spin-1/2 particles in presence of magnetic field, equations for relativistic dissipative non-resistive magnetohydrodynamics are obtained in the small polarization limit. We use a…

We use a first-principle quantum-statistical method to derive the expression of the entropy production rate in relativistic spin hydrodynamics. We show that the entropy current is not uniquely defined and can be changed by means of…

核理论 · 物理学 2024-02-28 Francesco Becattini , Asaad Daher , Xin-Li Sheng

We derive the relativistic non-resistive, viscous second-order magnetohydrodynamic equations for the dissipative quantities using the relaxation time approximation. The Boltzmann equation is solved for a system of particles and…

核理论 · 物理学 2021-04-07 Ankit Kumar Panda , Ashutosh Dash , Rajesh Biswas , Victor Roy

Systems of interacting networks of strings such as cosmic strings or quantum vortices can be approximated in a certain regime as an anisotropic fluid with an equation of state depending on a conserved flux. The equations for ideal…

高能物理 - 理论 · 物理学 2015-03-05 Daniel Schubring

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

Using the second law of local thermodynamics and the first-order Palatini formalism, we formulate relativistic spin hydrodynamics for quantum field theories with Dirac fermions, such as QED and QCD, in a torsionful curved background. We…

高能物理 - 理论 · 物理学 2022-01-19 Masaru Hongo , Xu-Guang Huang , Matthias Kaminski , Mikhail Stephanov , Ho-Ung Yee

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

Hydrodynamics is a general theoretical framework for describing the long-time large-distance behaviors of various macroscopic physical systems, with its equations based on conservation laws such as energy-momentum conservation and charge…

核理论 · 物理学 2022-12-06 Duan She , Anping Huang , Defu Hou , Jinfeng Liao