Numerical Evidence for Divergent Burnett Coefficients

Details Numerical Evidence for Divergent Burnett Coefficients Numerical Evidence for Divergent Burnett Coefficients

1998-07-14

arxiv.org/abs/physics/9807017v2

Phys. Rev. E, vol 60, 5175-5178

Physics

Computational Physics

12 pages, 9 figures

Scientific paper

10.1103/PhysRevE.60.5175

In previous papers [Phys. Rev. A {\bf 41}, 4501 (1990), Phys. Rev. E {\bf 18}, 3178 (1993)], simple equilibrium expressions were obtained for nonlinear Burnett coefficients. A preliminary calculation of a 32 particle Lennard-Jones fluid was presented in the previous paper. Now, sufficient resources have become available to address the question of whether nonlinear Burnett coefficients are finite for soft spheres. The hard sphere case is known to have infinite nonlinear Burnett coefficients (ie a nonanalytic constitutive relation) from mode coupling theory. This paper reports a molecular dynamics caclulation of the third order nonlinear Burnett coefficient of a Lennard-Jones fluid undergoing colour flow, which indicates that this term is diverges in the thermodynamic limit.

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