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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

Relativistic transport phenomena are important from both theoretical and practical point of view. Accordingly, hydrodynamics of relativistic gas has been extensively studied theoretically. Here, we introduce a three-dimensional canonical…

Statistical Mechanics · Physics 2015-06-15 Malihe Ghodrat , Afshin Montakhab

Here we study the wave propagation and stability of general relativistic non-resistive dissipative second-order magnetohydrodynamic equations in curved space-time. We solve the Boltzmann equation for a system of particles and antiparticles…

General Relativity and Quantum Cosmology · Physics 2022-05-09 Ankit Kumar Panda , Victor Roy

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

Based on a Boltzmann-like traffic equation for aggressive drivers we construct in this paper a second-order continuum traffic model which is similar to the Navier-Stokes equations for viscous fluids by applying two well-known methods of…

Mathematical Physics · Physics 2010-12-01 W. Marques , A. R. Mendez

We investigate the impact of momentum-dependent relaxation time approximation in the Boltzmann equation within the Bjorken flow framework by analyzing the moments of the single-particle distribution function. The moment equations, which…

Nuclear Theory · Physics 2025-10-23 Reghukrishnan Gangadharan , Sukanya Mitra , Victor Roy

In this study, we investigate the linear transport of neutral system within the framework of relativistic kinetic theory. Under the relaxation time approximation, we obtain an iterative solution to the relativistic Boltzmann equation in…

General Relativity and Quantum Cosmology · Physics 2025-04-22 Long Cui , Xin Hao , Liu Zhao

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

The Chapman-Enskog method of solution of the relativistic Boltzmann equation is generalized in order to admit a time-derivative term associated to a thermodynamic force in its first order solution. Both existence and uniqueness of such a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. L. Garcia-Perciante , A. Sandoval-Villalbazo , L. S. Garcia-Colin

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

Non-equilibrium fluid dynamics derived from the extended irreversible thermodynamics of the causal M\"uller--Israel--Stewart theory of dissipative processes in relativistic fluids based on Grad's moment method is applied to the study of the…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

Hydrodynamics can be formulated in terms of a perturbative series in derivatives of the temperature, chemical potential, and flow velocity around an equilibrium state. Different formulations for this series have been proposed over the…

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

In this paper, we study all transport coefficients of second-order dissipative fluid dynamics derived by V. E. Ambrus et al. [Phys. Rev. D 106, 076005 (2022)] from the relativistic Boltzmann equation in the relaxation-time approximation for…

Nuclear Theory · Physics 2024-04-30 Victor Ambrus , Etele Molnár , Dirk H. Rischke

We derive the form of the viscous corrections to the phase-space distribution function due to the bulk viscous pressure and shear stress tensor using the iterative Chapman-Enskog method. We then calculate the transport coefficients…

High Energy Physics - Phenomenology · Physics 2014-11-03 Amaresh Jaiswal , Radoslaw Ryblewski , Michael Strickland

We investigate hydrodynamic contributions to short-range two-particle correlations in relativistic heavy-ion collisions using the Boltzmann-Langevin equation. We derive and solve the transport equation for equal-time two-point correlations,…

High Energy Physics - Phenomenology · Physics 2025-12-23 Li Yan , Derek Teaney

A general analysis of the hydrodynamic limit of multi-relaxation time lattice Boltzmann models is presented. We examine multi-relaxation time BGK collision operators that are constructed similarly to those for the MRT case, however, without…

Soft Condensed Matter · Physics 2010-11-10 Goetz Kaehler , Alexander Wagner

In this work a second order relativistic viscous hydrodynamic model has been presented based on the effective fugacity quasi-particle model (EQPM). The hydro model has been derived from the effective relativistic second-order transport…

Nuclear Theory · Physics 2019-07-17 Sukanya Mitra

A simplified relativistic kinetic theory for gases with internal degrees of freedom, based on a BGK-type collision term, is considered. First the Boltzmann equation is rewritten in tetrad form and then thermal coefficients are determined to…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Philip Semrén , Michael Bradley , João M. S. Oliveira , M. Piedade Machado Ramos

Relativistic dissipative hydrodynamic equations are extended by taking into account particle number changing processes in a gluon system, which expands in one dimension boost-invariantly. Chemical equilibration is treated by a rate equation…

Nuclear Theory · Physics 2010-11-23 Andrej El , Azwinndini Muronga , Zhe Xu , Carsten Greiner

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
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