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The hydrodynamic Burnett equations and the associated transport coefficients are exactly evaluated for generalized inelastic Maxwell models. In those models, the one-particle distribution function obeys the inelastic Boltzmann equation,…

Soft Condensed Matter · Physics 2014-05-07 Nagi Khalil , Vicente Garzó , Andrés Santos

The Navier-Stokes transport coefficients for binary mixtures of smooth inelastic hard disks or spheres under gravity are determined from the Boltzmann kinetic theory by application of the Chapman-Enskog method for states near the local…

Statistical Mechanics · Physics 2009-11-11 Vicente Garzo , Jose Maria Montanero

We present an analytical derivation of the transport coefficients of a relativistic gas in (2+1) dimensions for both Chapman-Enskog (CE) asymptotics and Grad's expansion methods. Moreover, we develop a systematic calibration method,…

Nuclear Theory · Physics 2019-05-21 A. Gabbana , D. Simeoni , S. Succi , R. Tripiccione

This dissertation is about the study of three important issues in the theory of relativistic fluid dynamics: the stability of dissipative fluid dynamics, the shear viscosity, and fluid dynamics with triangle anomaly.(1)The second order…

High Energy Physics - Phenomenology · Physics 2011-08-31 Shi Pu

A quadrature-based finite-difference lattice Boltzmann model is developed that is suitable for simulating relativistic flows of massless particles. We briefly review the relativistc Boltzmann equation and present our model. The quadrature…

Fluid Dynamics · Physics 2017-09-26 Robert Blaga , Victor E. Ambrus

We investigate the transport properties of a kinetic theory model that is tuned to describe the thermodynamic properties of QCD at zero chemical potential using a new formulation of the relaxation time approximation. In contrast to previous…

Nuclear Theory · Physics 2022-08-24 Gabriel S. Rocha , Maurício N. Ferreira , Gabriel S. Denicol , Jorge Noronha

A relativistic version of the rational extended thermodynamics of polyatomic gases based on a new hierarchy of moments that takes into account the total energy composed by the rest energy and the energy of the molecular internal mode is…

Statistical Mechanics · Physics 2022-01-12 Takashi Arima , Maria Cristina Carrisi , Sebastiano Pennisi , Tommaso Ruggeri

The shear viscosity for a heated granular binary mixture of smooth hard spheres at low-density is analyzed. The mixture is heated by the action of an external driving force (Gaussian thermostat) which exactly compensate for cooling effects…

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

We investigate a many-body localization transition based on a Boltzmann transport theory. Introducing weak localization corrections into a Boltzmann equation, Hershfield and Ambegaokar re-derived the Wolfle-Vollhardt self-consistent…

Disordered Systems and Neural Networks · Physics 2018-07-04 Jae-Ho Han , Ki-Seok Kim

Transport coefficients are of crucial importance in theoretical as well as experimental studies. Despite substantial research on classical hard sphere/disk gases in low and high density regimes, a thorough investigation of transport…

Statistical Mechanics · Physics 2020-08-04 Malihe Ghodrat

We derive the equations of motion of relativistic, resistive, second-order dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation using the method of moments. We thus extend our previous work [Phys. Rev. D 98, 076009 (2018)],…

Nuclear Theory · Physics 2019-04-03 Gabriel S. Denicol , Etele Molnár , Harri Niemi , Dirk H. Rischke

Hydrodynamic equations for an inelastic Maxwell model are derived from the inelastic Boltzmann equation based on a systematic Chapman-Enskog perturbative scheme. Transport coefficients appear in Navier-Stokes order have been determined as a…

Statistical Mechanics · Physics 2016-08-31 Hisao Hayakawa

We compute the propagation speeds for a conformal real relativistic fluid. We begin from a kinetic equation in the relaxation time approximation, where the relaxation time is an arbitrary function of the particle energy in the Landau frame.…

High Energy Physics - Theory · Physics 2024-10-29 Esteban Calzetta , Alejandra Kandus

We present a unified Boltzmann-transport theory for the drag resistivity in two-component systems close to a second-order phase transition. We find general expressions for the drag resistivity in two and three spatial dimensions, for…

Mesoscale and Nanoscale Physics · Physics 2013-12-25 M. P. Mink , H. T. C. Stoof , R. A. Duine , Marco Polini , G. Vignale

The thermodynamics of an electrically charged, multicomponent fluid with spontaneous electric dipoles and magnetic moments is analysed in the presence of electromagnetic fields. Taking into account the chemical composition of the current…

Statistical Mechanics · Physics 2015-06-15 Sylvain D. Brechet , Jean-Philippe Ansermet

The non-equilibrium contributions to the post-Newtonian hydrodynamic equations are determined from a relaxation-time model of the post-Newtonian Boltzmann equation. The Chapman-Enskog method is used to calculate the non-equilibrium…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Gilberto M. Kremer

We solve the relativistic Riemann problem in viscous matter using the relativistic Boltzmann equation and the relativistic causal dissipative fluid-dynamical approach of Israel and Stewart. Comparisons between these two approaches clarify…

High Energy Physics - Phenomenology · Physics 2014-11-21 I. Bouras , E. Molnar , H. Niemi , Z. Xu , A. El , O. Fochler , C. Greiner , D. H. Rischke

The Boltzmann equation for $d$-dimensional inelastic Maxwell models is considered to analyze transport properties for monodisperse gas-solid suspensions. The influence of the interstitial gas phase on the dynamics of solid particles is…

Statistical Mechanics · Physics 2015-12-03 Aleksander Kubicki , Vicente Garzó

The long time behavior of a couple of interacting asymmetric exclusion processes of opposite velocities is investigated in one space dimension. We do not allow two particles at the same site, and a collision effect (exchange) takes place…

Probability · Mathematics 2009-11-10 Jozsef Fritz , Balint Toth

Electroconvective flow between two infinitely long parallel electrodes is investigated via a multiphysics computational model. The model solves for spatiotemporal flow properties using two-relaxation-time Lattice Boltzmann Method for fluid…

Computational Physics · Physics 2019-07-31 Yifei Guan , Igor Novosselov