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We derive the multi-component second-order dissipative relativistic hydrodynamic equations using the moment-expansion method. By computing the transport coefficients using hard-sphere interactions, we investigate the role of multiple…

High Energy Physics - Phenomenology · Physics 2022-07-15 Jin Hu , Shuzhe Shi

The conserved magnetic flux of U(1) electrodynamics coupled to matter in four dimensions is associated with a generalized global symmetry. We study the realization of such a symmetry at finite temperature and develop the hydrodynamic theory…

High Energy Physics - Theory · Physics 2017-05-10 Sašo Grozdanov , Diego M. Hofman , Nabil Iqbal

We derive multicomponent relativistic second-order dissipative fluid dynamics from the Boltzmann equations for a reactive mixture of $N_{\text{spec}}$ particle species with $N_q$ intrinsic quantum numbers (e.g. electric charge, baryon…

Nuclear Theory · Physics 2022-08-31 Jan A. Fotakis , Etele Molnár , Harri Niemi , Carsten Greiner , Dirk H. Rischke

We present a microscopic derivation of the laws of continuum mechanics of nonideal ordered solids including dissipation, defect diffusion, and heat transport. Starting point is the classical many-body Hamiltonian. The approach relies on the…

Statistical Mechanics · Physics 2022-11-23 Florian Miserez , Saswati Ganguly , Rudolf Haussmann , Matthias Fuchs

This work derives the Navier--Stokes hydrodynamic equations for a model of a confined, quasi-two-dimensional, $s$-component mixture of inelastic, smooth, hard spheres. Using the inelastic version of the revised Enskog theory, macroscopic…

Soft Condensed Matter · Physics 2026-03-27 David González Méndez , Vicente Garzó

We present an efficient method for computing the zero frequency limit of transport coefficients in strongly coupled field theories described holographically by higher derivative gravity theories. Hydrodynamic parameters such as shear…

High Energy Physics - Theory · Physics 2010-02-23 Miguel F. Paulos

We express the transport coefficients appearing in the second-order evolution equations for bulk viscous pressure and shear stress tensor using Bose-Einstein, Boltzmann, and Fermi-Dirac statistics for the equilibrium distribution function…

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…

High Energy Physics - Theory · Physics 2025-08-26 Abhishek Tiwari , Binoy Krishna Patra

We derive the equations of motion of relativistic magnetohydrodynamics, as well as microscopic expressions for all of its transport coefficients, from the Boltzmann equation using the method of moments. In contrast to reference Phys. Rev. D…

Nuclear Theory · Physics 2024-05-24 Khwahish Kushwah , Gabriel S. Denicol

We study the rheological signatures of departure from equilibrium in two-dimensional viscous fluids with and without internal spin. Under the assumption of isotropy, we provide the most general linear constitutive relations for stress and…

Statistical Mechanics · Physics 2020-06-24 Jeffrey M. Epstein , Kranthi K. Mandadapu

At second order in gradients, conformal relativistic hydrodynamics depends on the viscosity eta and on five additional "second-order" hydrodynamical coefficients tauPi, kappa, lambda1, lambda2, and lambda3. We derive Kubo relations for…

High Energy Physics - Phenomenology · Physics 2011-07-08 Guy D. Moore , Kiyoumars A. Sohrabi

We present basic equations of nonequilibrium thermo field dynamics of dense quantum systems. A formulation of nonequilibrium thermo field dynamics has been performed using the nonequilibrium statistical operator method by D.N.Zubarev.…

Nuclear Theory · Physics 2007-05-23 M. V. Tokarchuk , A. E. Kobryn

This dissertation focuses on the calculation of transport coefficients in the matter created in a relativistic heavy-ion collision after the chemical freeze-out. This matter can be well approximated by a pion gas out of equilibrium. We…

High Energy Physics - Phenomenology · Physics 2012-05-04 Juan M. Torres-Rincon

In this paper, a statistical physical derivation of thermodynamically consistent fluid mechanical equations is presented for non-isothermal viscous molecular fluids. The coarse-graining process is based on (i) the adiabatic expansion of the…

Statistical Mechanics · Physics 2024-04-18 Gyula I. Tóth

Determining the transport properties of Quark-Gluon Plasma is one of the most important aspects of relativistic heavy ion collision studies. Field-theoretical calculations of the transport coefficients such as the shear and bulk viscosities…

High Energy Physics - Phenomenology · Physics 2026-05-07 Sangyong Jeon , Alina Czajka , Juhee Hong

In (2+1)-dimensional systems with broken parity, there exists yet another transport coefficient, appearing at the same order as the shear viscosity in the hydrodynamic derivative expansion. In condensed matter physics, it is referred to as…

High Energy Physics - Theory · Physics 2012-08-23 Omid Saremi , Dam Thanh Son

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…

Nuclear Theory · Physics 2015-11-18 Amaresh Jaiswal , Bengt Friman , Krzysztof Redlich

Effective Lifshitz black holes with arbitrary dynamical exponent are addressed in the fluid/gravity membrane paradigm. The transport and the response coefficients in the dual Lifshitz field theory are calculated and analyzed, including the…

High Energy Physics - Theory · Physics 2024-11-05 D. C. Moreira , R. da Rocha

Finite size consideration of matter significantly affects transport coefficients like shear viscosity, bulk viscosity, electrical conductivity, which we have investigated here in the framework of the Polyakov-Nambu-Jona-Lasinio model. Owing…

Nuclear Theory · Physics 2018-07-02 Kinkar Saha , Sabyasachi Ghosh , Sudipa Upadhaya , Soumitra Maity

The purpose of this study is to provide a reproducible framework in the use of the Green-Kubo formalism to extract transport coefficients. More specifically, in the case of shear viscosity, we investigate the limitations and technical…

Nuclear Theory · Physics 2018-07-04 J. -B. Rose , J. M. Torres-Rincon , D. Oliinychenko , A. Schäfer , H. Petersen
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