Comparison of Viscosities from the Chapman-Enskog and Relaxation Time Methods

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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Submitted to Cent. Eur. J.Phys

Scientific paper

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 differential 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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