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We set up a general framework for systematically building and classifying, in the linear regime, causal and stable dissipative hydrodynamic theories that, alongside with the usual hydrodynamic modes, also allow for an arbitrary number of…

General Relativity and Quantum Cosmology · Physics 2022-09-22 Lorenzo Gavassino , Marco Antonelli , Brynmor Haskell

We develop the relativistic theory of hydrodynamic fluctuations for application to high energy heavy ion collisions. In particular, we investigate their effect on the expanding boost-invariant (Bjorken) solution of the hydrodynamic…

Nuclear Theory · Physics 2015-06-03 J. I. Kapusta , B. Müller , M. Stephanov

Some nonequilibrium systems exhibit anomalous suppression of the large-scale density fluctuations, so-called hyperuniformity. Recently, hyperuniformity was found numerically in a simple model of chiral active fluids [Q.-L. Lei et al., Sci.…

Soft Condensed Matter · Physics 2023-11-13 Yuta Kuroda , Kunimasa Miyazaki

A novel formulation of second-order relativistic viscous fluid dynamics based on the effective Boltzmann equation for quasi-particles with medium-dependent masses is briefly reviewed.~The evolution equations for the shear and bulk…

Nuclear Theory · Physics 2017-08-07 Radoslaw Ryblewski

The uncertainty relations in hydrodynamics are numerically studied. We first give a review for the formulation of the generalized uncertainty relations in the stochastic variational method (SVM), following the paper by two of the present…

Fluid Dynamics · Physics 2020-11-25 G. Gonçalves de Matos , T. Kodama , T. Koide

The slow flow of amorphous solids exhibits striking heterogeneities: swift localised particle rearrangements take place in the midst of a more or less homogeneously deforming medium. Recently, experimental as well as numerical work has…

Soft Condensed Matter · Physics 2014-03-04 Alexandre Nicolas , Joerg Rottler , Jean-Louis Barrat

In this paper we demonstrate a connection between the roots of a certain sequence of orthogonal polynomials on the real line and the linear instability of a $x$-directionally homogeneous background velocity profile $u^b(x,y) = \cos(y)$ in…

Mathematical Physics · Physics 2017-01-26 William Casper

In a recent paper by Lucas and Das Sarma [Physical Review B 97, 115449 (2018)], a solvable model of collective modes in 2D metals was considered in the hydrodynamic regime. In the current work, we generalize the hydrodynamic theory to 3D…

Strongly Correlated Electrons · Physics 2021-04-05 Shao-Kai Jian , Sankar Das Sarma

We present the derivation of second-order relativistic viscous hydrodynamics from an effective Boltzmann equation for a system consisting of quasiparticles of a single species. We consider temperature-dependent masses of the quasiparticles…

Nuclear Theory · Physics 2017-03-15 Leonardo Tinti , Amaresh Jaiswal , Radoslaw Ryblewski

A thermodynamic analysis of weakly nonlocal non-relativistic fluids is presented under the assumption that an additional scalar field also contributes to the dynamics. The most general evolution of this field and the constitutive relations…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Mátyás Szücs , Péter Ván

We discuss the hydrodynamic representation of a wide class of quantum media exhibiting similar elementary excitations and dispersion properties. The representation covers quantum systems characterized by any type of (long-range)…

Quantum Physics · Physics 2022-09-14 Kamel Ourabah

It is argued that the short time scale phenomena can be studied within the framework of hydrodynamics in the quark-gluon plasma. There are two different versions of the hydrodynamic-like equations in the literature. In this work we discuss…

High Energy Physics - Phenomenology · Physics 2011-05-12 Abhishek Basak , Jitesh R. Bhatt , Predhiman K. Kaw

We derive relativistic hydrodynamics from quantum field theories by assuming that the density operator is given by a local Gibbs distribution at initial time. We decompose the energy-momentum tensor and particle current into nondissipative…

High Energy Physics - Phenomenology · Physics 2015-10-14 Tomoya Hayata , Yoshimasa Hidaka , Masaru Hongo , Toshifumi Noumi

Generalized hydrodynamic theory, which does not rest on the requirement of a local equilibrium, is derived in the long-wave limit of a kinetic equation. The theory bridges the whole frequency range between the quasistatic (Navier-Stokes)…

Soft Condensed Matter · Physics 2009-10-31 I. V. Tokatly , O. Pankratov

The quantum hydrodynamic theory is a promising method for describing microscopic details of macroscopic systems. The hydrodynamic equation can be directly obtained from a single particle Kohn-Sham equation that includes the contribution of…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 Cristian Ciracì

We examine the applicability of relativistic hydrodynamics far from equilibrium by constructing formal solutions of the Boltzmann moment equations in the relaxation time approximation. These solutions naturally decompose into a divergent…

Nuclear Theory · Physics 2026-04-29 Reghukrishnan Gangadharan

We derive a new hyperbolic model describing the propagation of internal waves in a stratified shallow water with a non-hydrostatic pressure distribution. The construction of the hyperbolic model is based on the use of additional…

Fluid Dynamics · Physics 2020-05-28 Alexander Chesnokov , Valery Liapidevskii

We study universal spatial features of certain non-equilibrium steady states corresponding to flows of strongly correlated fluids over obstacles. This allows us to predict universal spatial features of far-from-equilibrium systems, which in…

High Energy Physics - Theory · Physics 2018-10-31 Igor Novak , Julian Sonner , Benjamin Withers

We investigate the stochastic dynamics of a quasiparticle within a gas of hard rods, focusing on the evolution of its mean, variance, and autocorrelation for two choices of initial states: (i) one with long-range (LR) correlations and (ii)…

Statistical Mechanics · Physics 2026-03-20 Anupam Kundu

A possibility of the hydrodynamic description of ultracold fermions via the microscopic derivation of the model is described. Differently truncated hydrodynamic models are derived and compared. All models are based on the microscopic…

Quantum Gases · Physics 2020-01-10 Pavel A. Andreev