Comparison of viscosities from the Chapman-Enskog and relaxation time methods

Anton Wiranata, Madappa Prakash 3 ,  and Purnendu Chakraborty 4
  • 1 IOPP, Central China Normal University, Wuhan, 430079, China
  • 2 Lawrence Berkeley National Laboratory, Nuclear Science Division, MS 70R0319, Berkeley, CA, 94720, USA
  • 3 Department of Physics & Astronomy, Ohio University, Athens, OH, 45701, USA
  • 4 Physical Research Laboratory, Ahmedabad, India

Abstract

A quantitative comparison between the results of shear viscosities from the Chapman-Enskog and relaxation time methods is performed for selected test cases with specified elastic differential cross sections: (i) the non-relativistic, relativistic and ultra-relativistic hard sphere gas with angle and energy independent differntial cross section, (ii) the Maxwell gas, (iii) chiral pions and (iv) massive pions. Our quantitative results reveal that the extent of agreement (or disagreement) depends very sensitively on the energy dependence of the differential cross sections employed.

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