https://doi.org/10.1140/epjc/s10052-024-12784-9
Regular Article - Theoretical Physics
Relativistic BGK hydrodynamics
1
School of Physical Sciences, National Institute of Science Education and Research, An OCC of Homi Bhabha National Institute, 752050, Jatni, Odisha, India
2
Department of Physics, West University of Timisoara, Bd. Vasile Pârvan 4, 300223, Timisoara, Romania
3
Institute of Theoretical Physics, Jagiellonian University, ul. St. Łojasiewicza 11, 30-348, Krakow, Poland
4
Department of Physics and Astronomy, Brandon University, R7A 6A9, Brandon, MB, Canada
5
Ramakrishna Mission Residential College (Autonomous), 700103, Narendrapur, Kolkata, India
a
pracheta.singha@gmail.com
b
samapan.bhadury@uj.edu.pl
c
arbp.phy@gmail.com
d
a.jaiswal@niser.ac.in
Received:
27
September
2023
Accepted:
11
April
2024
Published online:
22
April
2024
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.
© The Author(s) 2024
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