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We present a general approach for obtaining the generalized transport equations with fractional derivatives using the Liouville equation with fractional derivatives for a system of classical particles and the Zubarev non-equilibrium…

Statistical Mechanics · Physics 2023-08-30 P. Kostrobij , B. Markovych , I. Ryzha , M. Tokarchuk

We demonstrate the practical feasibility of calculating transport coefficients such as the viscosity of liquids completely from first principles using the Green-Kubo relations. Results presented for liquid aluminum are shown to have a…

Condensed Matter · Physics 2009-10-31 Dario Alfe` , Michael J. Gillan

We discuss Onsager's thermodynamic formalism for transport coefficients and apply it to the calculation of the shear modulus and shear viscosity of a monodisperse system of repulsive particles. We focus on the concept of extensive…

Statistical Mechanics · Physics 2017-04-12 Thomas Palmer , Thomas Speck

In the present work, we deal with a binary mixture of diluted relativistic gases within the framework of the kinetic theory. The analysis is made within the framework of the Boltzmann equation. We assume that the gas is under the influence…

Statistical Mechanics · Physics 2016-12-14 Valdemar Moratto , Gilberto M. Kremer

Motivated by the recently observed failure of the kinetic theory for the bulk viscosity, we in turn revisit the shear viscosity and the thermal conductivity of two-component fermions with a zero-range interaction both in two and three…

Quantum Gases · Physics 2024-12-04 Keisuke Fujii , Yusuke Nishida

A functional measure encompasses quantum corrections and is explored in the fluid/gravity correspondence. Corrections to response and transport coefficients in the second-order dissipative relativistic hydrodynamics are proposed, including…

High Energy Physics - Theory · Physics 2025-05-30 I. Kuntz , R. da Rocha

Focusing on the numerical aspects and accuracy we study a class of bulk viscosity driven expansion scenarios using the relativistic Navier-Stokes and truncated Israel-Stewart form of the equations of relativistic dissipative fluids in 1+1…

Nuclear Theory · Physics 2009-03-24 Etele Molnar

The average of densities of currents and charges, induced by a weak electromagnetic field in spatially inhomogeneous are calculated at final temperatures. The Kubo formula for a conductivity tensor is generalized for spatially inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. T. Pavlov , I. G. Lang , L. I. Korovin

The transport properties of certain strongly coupled thermal gauge theories can be determined from their effective description in terms of gravity or superstring theory duals. Here we provide a short summary of the results for the shear and…

Nuclear Theory · Physics 2009-11-11 Andrei O. Starinets

We use linear response techniques to develop the previously proposed relativistic ideal fluid limit with a non-negligible spin density. We confirm previous results and obtain expressions for the microscopic transport coefficients using…

High Energy Physics - Theory · Physics 2020-08-19 David Montenegro , Giorgio Torrieri

We formulate hydrodynamic equations for nonsuperfluid multicomponent magnetized charged relativistic mixtures, taking into account chemical reactions as well as viscosity, diffusion, thermodiffusion, and thermal conductivity effects. The…

High Energy Astrophysical Phenomena · Physics 2020-06-18 Vasiliy A. Dommes , Mikhail E. Gusakov , Peter S. Shternin

We calculate all transport coefficients of second order transient hydrodynamics in two effective kinetic theory models: a hadron-resonance gas and a quasiparticle model with thermal masses tuned to reproduce QCD thermodynamics. We compare…

Nuclear Theory · Physics 2024-09-09 Gabriel S. Rocha , Gabriel S. Denicol

We derive a formula for the electrical conductivity of solids that includes relaxation, dissipation, and quantum coherence. The derivation is based on the Kubo formula, with a Mori memory function approach to include dissipation effects at…

Materials Science · Physics 2021-10-07 Brett R. Green , Maria Troppenz , Santiago Rigamonti , Claudia Draxl , Jorge O. Sofo

Statistical mechanics provides the foundation for describing complex materials using only a few thermodynamic variables. No such framework currently exists far from equilibrium. In this Letter, we demonstrate how thermodynamics emerges far…

The three-dimensional magneto-conductivity tensor was derived in a gauge invariant form based on the Kubo formula considering the quantum effect under a magnetic field, such as the Landau quantization and the quantum oscillations. We…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 Akiyoshi Yamada , Yuki Fuseya

Many important properties of granular fluids can be represented by a system of hard spheres with inelastic collisions. Traditional methods of nonequilibrium statistical mechanics are effective for analysis and description of the inelastic…

Soft Condensed Matter · Physics 2009-11-07 James W. Dufty , J. Javier Brey , James Lutsko

We investigate the first-order transport coefficients of a fluid made of quasiparticles with a temperature-dependent mass extracted from chiral models. We describe this system using an effective kinetic theory, given by the relativistic…

High Energy Physics - Phenomenology · Physics 2026-03-17 Pedro Nogarolli , Gabriel S. Denicol , Eduardo S. Fraga

We introduce a theory of "odd viscodiffusive fluids," which exhibit three-dimensional odd transport phenomena through the coupling of viscous and diffusive transport. In these fluids, diffusive fluxes may arise from orthogonal velocity…

Soft Condensed Matter · Physics 2024-11-08 Alhad Deshpande , Cory Hargus , Karthik Shekhar , Kranthi K. Mandadapu

We have explored the shear viscosity and electrical conductivity calculations for bosonic and fermionic medium, which goes from without to with magnetic field picture and then their simplified massless expressions. In presence of magnetic…

High Energy Physics - Phenomenology · Physics 2020-10-12 Jayanta Dey , Sarthak Satapathy , Prasanta Murmu , Sabyasachi Ghosh

Equilibrium molecular dynamics simulations, in combination with the Green-Kubo (GK) method, have been extensively used to compute the thermal conductivity of liquids. However, the GK method relies on an ambiguous definition of the…

Computational Physics · Physics 2020-09-30 Bingqing Cheng , Daan Frenkel