ISSN:
1572-9613
Keywords:
Boltzmann equation
;
nonequilibrium
;
viscosity
;
molecular dynamics
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract In two and three dimensions, the relaxation time Boltzmann equation can be solved analytically for the distribution function for a system of two hard particles subject to isothermal shear. The previous solutions of Morriss, and Ladd and Hoover are shown to be formally equivalent. The integral representation for the average of each of the elements of the pressure tensor in the steady state is obtained for both sllod and dolls tensor equations of motion. Rigorous equations are derived which relate the viscosity and the normal stress differences in these two methods. We obtain asymptotic expansions for each element of the pressure tensor for both small and largeγ. For high shear rates, the viscosity is found to vanish as γ−2 logγ in both two and three dimensions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01010907
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