https://doi.org/10.1140/epja/i2019-12705-7
Regular Article - Theoretical Physics
One particle distribution function and shear viscosity in magnetic field: A relaxation time approach
National Institute of Science Education and Research, HBNI, 752050, Jatani, Odisha, India
* e-mail: victor@niser.ac.in
Received:
13
November
2018
Accepted:
23
January
2019
Published online:
14
March
2019
We calculate the 
correction to the one particle distribution function in the presence of magnetic field and non-zero shear viscosity within the relaxation time approximation. The correction is found to be electric charge dependent. Subsequently, we also calculate one longitudinal and four transverse shear viscous coefficients as a function of the dimensionless Hall parameter 
in the presence of the magnetic field. We find that a proper linear combination of the shear viscous coefficients calculated in this work scales with the result obtained from Grad’s moment method in [#!Denicol:2018rbw!#]. The calculation of the invariant yield of 
in a simple Bjorken expansion with cylindrical symmetry shows no noticeable change in spectra due to the correction for realistic values of the magnetic field and relaxation time. However, when transverse expansion is taken into account using a blast wave type flow field we found noticeable change in spectra and elliptic flow coefficients due to the correction. The is also found to be very sensitive to the magnitude of magnetic field. Hence we think it is important to take into account the correction in more realistic numerical magnetohydrodynamics simulations.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
