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The shear and the bulk viscosities of the hadron gas at low temperatures are studied in the model with constant elastic cross sections being relativistic generalization of the hard spheres model. One effective radius ${r=0.4 fm}$ is chosen…

High Energy Physics - Phenomenology · Physics 2015-03-19 Oleg N. Moroz

Understanding the hydrodynamics of out-of-equilibrium dense viscous fluids is of key importance to accurate descriptions of physical systems such as compact stars, particularly their mergers. We consider a near-equilibrium relativistic…

High Energy Physics - Phenomenology · Physics 2025-07-17 Saga Säppi

We obtain the first rigorous derivation of an incompressible Navier-Stokes-Fourier system with self-consistent and time-dependent forcing terms from the inelastic hard-spheres Boltzmann equation associated to the relevant case of…

Analysis of PDEs · Mathematics 2025-11-27 R. Alonso , B. Lods , I. Tristani

Motivated by the disagreement found at high dissipation between simulation data for the heat flux transport coefficients and the expressions derived from the Boltzmann equation by the standard first Sonine approximation [Brey et al., Phys.…

Statistical Mechanics · Physics 2007-05-23 V. Garzo , A. Santos , J. M. Montanero

We consider a momentum dependent relaxation time for the Boltzmann equation in the relaxation time approximation. We employ a power law parametrization for the momentum dependence of the relaxation time, and calculate the shear and bulk…

Nuclear Theory · Physics 2016-02-18 Amaresh Jaiswal , Bengt Friman , Krzysztof Redlich

A numerical study is presented to analyze the thermal mechanisms of unsteady, supersonic granular flow, by means of hydrodynamic simulations of the Navier-Stokes granular equations. For this purpose a paradigmatic problem in granular…

Fluid Dynamics · Physics 2015-06-04 Lidia Almazán , José A. Carrillo , Clara Salueña , Vicente Garzó , Thorsten Poeschel

Gauss-Bonnet holographic fluid is a useful theoretical laboratory to study the effects of curvature-squared terms in the dual gravity action on transport coefficients, quasinormal spectra and the analytic structure of thermal correlators at…

High Energy Physics - Theory · Physics 2017-04-04 Sašo Grozdanov , Andrei O. Starinets

Bhatnagar-Gross-Krook (BGK) collision kernel is employed in the Boltzmann equation to formulate relativistic dissipative hydrodynamics. In this formulation, we find that there remains freedom of choosing a matching condition that affects…

Nuclear Theory · Physics 2024-04-24 Pracheta Singha , Samapan Bhadury , Arghya Mukherjee , Amaresh Jaiswal

We obtain hydrodynamic descriptions of a broad class of conserved-mass transport processes on a ring. These processes are governed by chipping, diffusion and coalescence of masses, where microscopic probability weights in their…

Statistical Mechanics · Physics 2017-07-06 Arghya Das , Anupam Kundu , Punyabrata Pradhan

Bulk viscosity is an important transport coefficient that exists in the hydrodynamical limit only when the underlying theory is non-conformal. One example being thermal QCD with large number of colors. We study bulk viscosity in such a…

High Energy Physics - Theory · Physics 2018-07-23 Alina Czajka , Keshav Dasgupta , Charles Gale , Sangyong Jeon , Aalok Misra , Michael Richard , Karunava Sil

In this paper, we give an overview of the results established in [3] which provides the first rigorous derivation of hydrodynamic equations from the Boltzmann equation for inelastic hard spheres in 3D. In particular, we obtain a new system…

Analysis of PDEs · Mathematics 2022-05-04 Ricardo J. Alonso , Bertrand Lods , Isabelle Tristani

We derive equations for fluid dynamics from a non-extensive Boltzmann transport equation consistent with Tsallis' non-extensive entropy formula. We evaluate transport coefficients employing the relaxation time approximation and investigate…

Nuclear Theory · Physics 2015-05-30 T. S. Biro , E. Molnar

Understanding how hydrodynamics emerges rapidly in the medium produced by relativistic heavy-ion collisions remains a key theoretical challenge. While the attractor solution -- manifesting as a non-thermal fixed point during the early…

Nuclear Theory · Physics 2025-09-12 Shile Chen , Shuzhe Shi

We prove that Einstein's equations coupled to equations of Israel-Stewart-type, describing the dynamics of a relativistic fluid with bulk viscosity and nonzero baryon charge (without shear viscosity or baryon diffusion) dynamically coupled…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Fabio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

Formalism to calculate the hydrodynamic fluctuations by applying the Onsager theory to the relativistic Navier-Stokes equation is already known. In this work, we calculate hydrodynamic-fluctuations within the framework of the second order…

High Energy Physics - Phenomenology · Physics 2014-09-16 Avdhesh Kumar , Jitesh R. Bhatt , Ananta P. Mishra

The revised Enskog approximation for a fluid of hard spheres which lose energy upon collision is discussed for the case that the energy is lost from the normal component of the velocity at collision but is otherwise arbitrary. Granular…

Soft Condensed Matter · Physics 2007-05-23 James F. Lutsko

By making use of the chiral kinetic theory in the relaxation-time approximation, we derive an Israel-Stewart type formulation of the hydrodynamic equations for a chiral relativistic plasma made of neutral particles (e.g., neutrinos). The…

High Energy Physics - Theory · Physics 2017-06-06 E. V. Gorbar , D. O. Rybalka , I. A. Shovkovy

We derive the equations of second order dissipative fluid dynamics from the relativistic Boltzmann equation following the method of W. Israel and J. M. Stewart. We present a frame independent calculation of all first- and second-order terms…

Nuclear Theory · Physics 2011-10-03 B. Betz , G. S. Denicol , T. Koide , E. Molnar , H. Niemi , D. H. Rischke

We investigate whether hydrodynamic attractors are present in simulations of the quark-gluon plasma formed in heavy-ion collisions. We argue that Lagrangian schemes to solve the relativistic viscous fluid equations can be particularly…

Nuclear Theory · Physics 2021-02-03 Gabriel S. Denicol , Jorge Noronha

In the causal theory of relativistic dissipative fluid dynamics, there are conditions on the equation of state and other thermodynamic properties such as the second-order coefficients of a fluid that need to be satisfied to guarantee that…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga