We have addressed that during the transition from zero to finite rotation
picture, a transition from isotropic to anisotropic nature of shear viscosity
coefficients can be found due to Coriolis force as expected due to Lorentz
force at a finite magnetic field in earlier studies on the topics of
relativistic matter like quark-gluon plasma. We have done it for
non-relativistic matters for simplicity, with a future proposal to extend it
towards a relativistic description. Introducing the Coriolis force term in
relaxation time approximated Boltzmann transport equation, we have found
different effective relaxation times along the parallel, perpendicular, and
Hall directions in terms of actual relaxation time and rotating time period.
Comparing the present formalism with the finite magnetic field picture, we have
shown the equivalence of roles between the rotating and cyclotron time periods,
which define the rotating time period as the inverse of 2 times angular
velocity.Comment: 11 pages, 5 figures; For any comments or suggestions, emails are
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