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Relativistic BGK hydrodynamics

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arxiv 2301.00544 v3 pith:6BT6EBNF submitted 2023-01-02 nucl-th hep-phhep-th

Relativistic BGK hydrodynamics

classification nucl-th hep-phhep-th
keywords collisionhydrodynamicskernelrelativisticdissipativeformulationaffectsbhatnagar-gross-krook
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 the scalar transport in the system. We also propose a new collision kernel which, unlike BGK collision kernel, is valid in the limit of zero chemical potential and derive relativistic first-order dissipative hydrodynamics using it. We study the effects of this new formulation on the coefficient of bulk viscosity.

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