dorsal/arxiv
View SchemaNumerical Evidence for Divergent Burnett Coefficients
| Authors | Russell K. Standish |
|---|---|
| Categories | |
| ArXiv ID | physics/9807017 |
| URL | https://arxiv.org/abs/physics/9807017 |
| DOI | 10.1103/PhysRevE.60.5175 |
| Journal | Phys. Rev. E, vol 60, 5175-5178 |
Abstract
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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"abstract": "In previous papers [Phys. Rev. A {\\bf 41}, 4501 (1990), Phys. Rev. E {\\bf\n18}, 3178 (1993)], simple equilibrium expressions were obtained for nonlinear\nBurnett coefficients. A preliminary calculation of a 32 particle Lennard-Jones\nfluid was presented in the previous paper. Now, sufficient resources have\nbecome available to address the question of whether nonlinear Burnett\ncoefficients are finite for soft spheres. The hard sphere case is known to have\ninfinite nonlinear Burnett coefficients (ie a nonanalytic constitutive\nrelation) from mode coupling theory. This paper reports a molecular dynamics\ncaclulation of the third order nonlinear Burnett coefficient of a Lennard-Jones\nfluid undergoing colour flow, which indicates that this term is diverges in the\nthermodynamic limit.",
"arxiv_id": "physics/9807017",
"authors": [
"Russell K. Standish"
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"doi": "10.1103/PhysRevE.60.5175",
"journal_ref": "Phys. Rev. E, vol 60, 5175-5178",
"title": "Numerical Evidence for Divergent Burnett Coefficients",
"url": "https://arxiv.org/abs/physics/9807017"
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