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Models of relativistic heavy ion collisions typically involve both a hydrodynamic module to describe the high density liquid-like phase and a Boltzmann module to simulate the low density break-up phase which is gas-like. Coupling the…

Nuclear Theory · Physics 2010-10-27 Scott Pratt , Giorgio Torrieri

The relativistic hydrodynamic model is applied to describe the expansion of the dense matter formed in relativistic heavy-ion collisions. The hydrodynamic expansion of the fluid, supplemented with the statistical emission of hadrons at…

Nuclear Theory · Physics 2012-03-27 Piotr Bozek

We present a new derivation of second-order relativistic dissipative fluid dynamics for quantum systems using Zubarev's formalism for the non-equilibrium statistical operator. In particular, we discuss the shear-stress tensor to second…

Nuclear Theory · Physics 2018-07-18 Arus Harutyunyan , Armen Sedrakian , Dirk H. Rischke

Using classical description of spin degrees of freedom, we extend recent formulation of the perfect-fluid hydrodynamics for spin-polarized fluids to the case including dissipation. Our work is based on the analysis of classical kinetic…

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 propose a mathematical derivation of stochastic compressible Navier-Stokes equation. We consider many-particle systems with a Hamiltonian dynamics supplemented by a friction term and environmental noise. Both the interaction potential…

Analysis of PDEs · Mathematics 2025-03-21 Jesus Correa , Christian Olivera

We explore theoretical uncertainties in the hydrodynamic description of relativistic heavy-ion collisions by examining the full non-linear causality conditions and quantifying the second-order transport coefficients' role on flow…

Nuclear Theory · Physics 2021-06-09 Cheng Chiu , Chun Shen

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

We generalize the derivation of viscous anisotropic hydrodynamics from kinetic theory to allow for non-zero particle masses. The macroscopic theory is obtained by taking moments of the Boltzmann equation after expanding the distribution…

Nuclear Theory · Physics 2015-03-26 Dennis Bazow , Ulrich W. Heinz , Mauricio Martinez

We compare 2->2 covariant transport theory and causal Israel-Stewart hydrodynamics in 2+1D longitudinally boost invariant geometry with RHIC-like initial conditions and a conformal e = 3p equation of state. The pressure evolution in the…

Nuclear Theory · Physics 2008-11-26 Denes Molnar , Pasi Huovinen

We present a new formalism for the theory of relativistic dissipative hydrodynamics. Here, we look for the minimal structure of such a theory which satisfies the covariance and causality by introducing the memory effect in irreversible…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Koide , G. S. Denicol , Ph. Mota , T. Kodama

Starting from a microscopic approach, we develop a covariant formalism to describe a set of interacting gases. For that purpose, we model the collision term entering the Boltzmann equation for a class of interactions and then integrate this…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jean-Philippe Uzan

New constraints are found that must necessarily hold for Israel-Stewart-like theories of fluid dynamics to be causal far away from equilibrium. Conditions that are sufficient to ensure causality, local existence, and uniqueness of solutions…

High Energy Physics - Theory · Physics 2021-06-09 Fabio S. Bemfica , Marcelo M. Disconzi , Vu Hoang , Jorge Noronha , Maria Radosz

We show for the first time that the stochastic variational method can naturally derive the Navier-Stokes equation starting from the action of ideal fluid. In the frame work of the stochastic variational method, the dynamical variables are…

Statistical Mechanics · Physics 2012-06-18 T. Koide , T. Kodama

We study the one-dimensional boost-invariant Boltzmann equation in the relaxation-time approximation using special moments of the distribution function for a system with a finite particle mass. The infinite hierarchy of moments can be…

Nuclear Theory · Physics 2022-11-08 Sunil Jaiswal , Jean-Paul Blaizot , Rajeev S. Bhalerao , Zenan Chen , Amaresh Jaiswal , Li Yan

Just as non relativistic fluids, oftentimes we find relativistic fluids in situations where random fluctuations cannot be ignored, thermal and turbulent fluctuations being the most relevant examples. Because of the theory's inherent…

High Energy Physics - Phenomenology · Physics 2022-12-21 Nahuel Mirón Granese , Alejandra Kandus , Esteban Calzetta

We apply the second-order Israel-Stewart theory of relativistic fluid- and thermodynamics to a physically realistic model of a radiative fluid in a simple anisotropic cosmological background. We investigate the asymptotic future of the…

General Relativity and Quantum Cosmology · Physics 2016-05-10 Dmitry Shogin , Per Amund Amundsen

The dissipative dynamics of an expanding massless gas with constant cross section in a spatially flat Friedmann-Lema\^itre-Robertson-Walker (FLRW) universe is studied. The mathematical problem of solving the full nonlinear relativistic…

High Energy Physics - Phenomenology · Physics 2016-12-14 D. Bazow , G. S. Denicol , U. Heinz , M. Martinez , J. Noronha

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

Kinetic theory of dissipative particle dynamics is developed in terms of a Boltzmann pair collision theory. The kinetic transport coefficients are computed from explicit collision integrals and compared favourably with detailed simulations.…

Statistical Mechanics · Physics 2009-10-31 A. J. Masters , P. B. Warren