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We determine the energy-momentum tensor of non-perfect fluids in thermodynamic equilibrium. To this end, we derive the constitutive equations for energy density, isotropic and anisotropic pressure as well as for heat-flux from the…

General Relativity and Quantum Cosmology · Physics 2016-04-26 Konrad Schatz , Horst-Heino von Borzeszkowski , Thoralf Chrobok

We consider a general class of nonlinear diffusive models with bulk dissipation and boundary driving, and derive its hydrodynamic description in the large size limit. Both the average macroscopic behavior and the fluctuating properties of…

Statistical Mechanics · Physics 2013-10-29 A. Prados , A. Lasanta , Pablo I. Hurtado

We introduce non-perturbative analytical techniques for the derivation of the hydrodynamic manifolds from kinetic equations. The new approach is analogous to the Schwinger-Dyson equation of quantum field theories, and its derivation is…

Fluid Dynamics · Physics 2015-06-17 I. V. Karlin , S. S. Chikatamarla , M. Kooshkbaghi

Hydrodynamic equations (HDEQs) are derived which describe spatio-temporal evolutions of the electron temperature and the chemical potential of two-dimensional systems in strong magnetic fields in states with large diagonal resistivity…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Hiroshi Akera

The characterization of finite-time thermodynamic processes is of crucial importance for extending equilibrium thermodynamics to nonequilibrium thermodynamics. The central issue is to quantify responses of thermodynamic variables and…

Statistical Mechanics · Physics 2023-09-15 Yuki Izumida

We present a generating functional which describes the equilibrium thermodynamic response of a relativistic system to external sources. A variational principle gives rise to constraints on the response parameters of relativistic…

High Energy Physics - Theory · Physics 2013-05-30 Kristan Jensen , Matthias Kaminski , Pavel Kovtun , Rene Meyer , Adam Ritz , Amos Yarom

A second order relativistic hydrodynamic theory has been derived using momentum dependent relaxation time in the relativistic transport equation. In order to do that, an iterative technique of gradient expansion approach, namely…

Nuclear Theory · Physics 2021-02-03 Sukanya Mitra

Relativistic irreversible thermodynamics is reformulated following the conventional approach proposed by Meixner in the non-relativistic case. Clear separation between mechanical and non-mechanical energy fluxes is made. The resulting…

General Relativity and Quantum Cosmology · Physics 2015-06-25 L. S. Garcia-Colin , A. Sandoval-Villalbazo

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…

High Energy Physics - Lattice · Physics 2010-12-13 Yu Maezawa , Hiroaki Abuki , Tetsuo Hatsuda , Tomoi Koide

Relativistic hydrodynamics for ideal and viscous fluids is discussed as a tool to describe relativistic heavy-ion collisions and to extract transport properties of the quark-gluon plasma from experimentally measured hadron momentum spectra.

Nuclear Theory · Physics 2015-05-13 Ulrich W. Heinz

[Background] Experimental data from heavy-ion experiments at RHIC-BNL and LHC-CERN are quantitatively described using relativistic fluid dynamics. Even p+A and p+p collisions show signs of collective behavior describable in the same manner.…

Nuclear Theory · Physics 2018-08-29 K. Gallmeister , H. Niemi , C. Greiner , D. H. Rischke

Excitons in semiconductors can form a variety of collective states leading to different regimes of exciton propagation. Here we theoretically demonstrate the possibility to reach the viscous hydrodynamic -- liquid-like -- regime of exciton…

Mesoscale and Nanoscale Physics · Physics 2024-10-23 V. N. Mantsevich , M. M. Glazov

A new approach is described to help improve the foundations of relativistic viscous fluid dynamics and its coupling to general relativity. Focusing on neutral conformal fluids constructed solely in terms of hydrodynamic variables, we derive…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Fabio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

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…

Nuclear Theory · Physics 2022-06-08 Sukanya Mitra

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…

Nuclear Theory · Physics 2022-02-02 Arus Harutyunyan , Armen Sedrakian , Dirk H. Rischke

In this paper we consider dissipative hydrodynamic equations for systems with continuous broken symmetries. We first present the case of superfluidity, in which the symmetry U(1) is broken and then generalize to the chiral symmetry $SU(2)_L…

High Energy Physics - Phenomenology · Physics 2016-09-06 C. Pujol , D. Davesne

We extend the first order dissipative relativistic hydrodynamics model of Bemfica-Disconzi-Noronha- Kovtun (BDNK) in order to include the charge number current in full first order expansion with out-of-equilibrium contribution proportional…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Federico Schianchi , Fernando Abalos

The possibility that particle production in high-energy collisions is a result of two asymmetric hydrodynamic flows is investigated, using the Khalatnikov form of the 1+1-dimensional approximation of hydrodynamic equations. The general…

High Energy Physics - Phenomenology · Physics 2011-05-19 Andrzej Bialas , Robi Peschanski

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…

Nuclear Theory · Physics 2012-03-27 Piotr Bozek

We explore a new action formulation of hyperfluids, fluids with intrinsic hypermomentum. Brown's Lagrangian for a relativistic perfect fluid is generalised by incorporating the degrees of freedom encoded in the hypermomentum tensor, namely…

General Relativity and Quantum Cosmology · Physics 2024-04-12 Damianos Iosifidis , Tomi S. Koivisto