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We compute second order transport coefficients of the dilute Fermi gas at unitarity. The calculation is based on kinetic theory and the Boltzmann equation at second order in the Knudsen expansion. The second order transport coefficients…

Quantum Gases · Physics 2014-11-05 Thomas Schaefer

This paper presents how thermal mean field effects are incorporated consistently in the hydrodynamical modelling of heavy-ion collisions. The nonequilibrium correction to the distribution function resulting from a temperature-dependent mass…

Nuclear Theory · Physics 2018-05-02 Alina Czajka , Sigtryggur Hauksson , Chun Shen , Sangyong Jeon , Charles Gale

The reverse perturbation method [Phys. Rev. E 59, 4894 (1999)] for shearing simple liquids and measuring their viscosity is extended to the Vicsek-model (VM) of active particles [Phys. Rev. Lett. 75, 1226 (1995)] and its metric-free…

Soft Condensed Matter · Physics 2019-10-23 Arash Nikoubashman , Thomas Ihle

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

We interpret as shear viscosity the anisotropic pressure that emerges in inhomogeneous spherically symmetric spacetimes described by the Lemaitre-Tolman-Bondi (LTB) metric in a comoving frame. By assuming that local isotropic pressure and…

General Relativity and Quantum Cosmology · Physics 2008-12-24 Roberto A Sussman

We extend the Boltzmann equation in the relaxation time approximation to explicitly include transitions between particles forming an interacting mixture. Using the detailed balance condition as well as conditions of energy-momentum and…

High Energy Physics - Phenomenology · Physics 2020-12-23 Samapan Bhadury , Wojciech Florkowski , Amaresh Jaiswal , Radoslaw Ryblewski

The Euler and Navier-Stokes fluid mechanics equations are derived using a modified statistical mechanical approach using theory taken from the Chapman-Enskog perturbation analysis used to support the lattice Boltzmann method. Additional…

Fluid Dynamics · Physics 2021-07-06 Charles Cook

We derive an analytical connection between kinetic relaxation rate and bulk viscosity of a relativistic fluid in d spatial dimensions, all the way from the ultra-relativistic down to the near non-relativistic regime. Our derivation is based…

Fluid Dynamics · Physics 2020-06-23 A. Gabbana , D. Simeoni , S. Succi , R. Tripiccione

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

We calculate two transport coefficients -- the shear viscosity over entropy ratio $\eta/s$ and the ratio of the electric conductivity to the temperature $\sigma_0/T$ -- of strongly interacting quark matter within the extended $N_f=3$…

Nuclear Theory · Physics 2021-05-12 Olga Soloveva , David Fuseau , Jörg Aichelin , Elena Bratkovskaya

A model polydisperse fluid represents many real fluids such as colloidal suspensions and polymer solutions. In this study, considering a concentrated size-polydisperse hard sphere fluid with size derived from two different distribution…

Soft Condensed Matter · Physics 2022-11-23 Thokchom Premkumar Meitei , Lenin S. Shagolsem

A hydrodynamic description for inelastic Maxwell mixtures driven by a stochastic bath with friction is derived. Contrary to previous works where constitutive relations for the fluxes were restricted to states near the homogeneous steady…

Statistical Mechanics · Physics 2020-06-17 Nagi Khalil , Vicente Garzó

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 compute the shear and bulk viscosities, as well as the thermal conductivity of an ultrarelativistic fluid obeying the relativistic Boltzmann equation in 2+1 space-time dimensions. The relativistic Boltzmann equation is taken in the…

Statistical Mechanics · Physics 2015-06-12 M. Mendoza , I. Karlin , S. Succi , H. J. Herrmann

The transport coefficients of a granular fluid driven by a stochastic bath with friction are obtained by solving the inelastic Enskog kinetic equation from the Chapman-Enskog method. The heat and momentum fluxes as well as the cooling rate…

Statistical Mechanics · Physics 2017-01-05 V. Garzó , M. G. Chamorro , F. Vega Reyes

Using and comparing kinetic theory and second-order Chapman-Enskog hydrodynamics, we study the non-conformal dynamics of a system undergoing Bjorken expansion. We use the concept of `free-streaming fixed lines' for scaled shear and bulk…

High Energy Physics - Phenomenology · Physics 2022-03-14 Sunil Jaiswal , Chandrodoy Chattopadhyay , Lipei Du , Ulrich Heinz , Subrata Pal

The Navier-Stokes transport coefficients of a granular gas are obtained from the Chapman-Enskog solution to the Boltzmann equation. The granular gas is heated by the action of an external driving force (thermostat) which does work to…

Statistical Mechanics · Physics 2009-11-07 V. Garzo , J. M. Montanero

The shear viscosity $\eta$ has been calculated by using the Green-Kubo relation in the framework of a partonic transport approach solved at cascade level. We compare the numerical results for $\eta$ obtained from the Green-Kubo correlator…

Nuclear Theory · Physics 2015-09-01 S. Plumari , A. Puglisi , F. Scardina , V. Greco

We analyze the transport properties of relativistic fluid composed of constituent quarks at finite temperature and density. We focus on the shear and bulk viscosities and study their behavior near chiral phase transition. We model the…

High Energy Physics - Phenomenology · Physics 2010-04-30 C. Sasaki , K. Redlich

Starting from Boltzmann equation with relaxation time approximation for the collision term and using Chapman-Enskog like expansion for distribution function close to equilibrium, we derive hydrodynamic evolution equations for the…

Nuclear Theory · Physics 2013-05-22 Amaresh Jaiswal