Standish R K
High Performance Computing Support Unit, The University of New South Wales, Sydney, New South Wales 2052, Australia.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Nov;60(5 Pt A):5175-8. doi: 10.1103/physreve.60.5175.
In previous papers [Phys. Rev. A 41, 4501 (1990); Phys. Rev. E 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 papers. 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 (i.e., 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 color flow, which indicates that this term diverges in the thermodynamic limit.
在之前的论文中[《物理评论A》41, 4501 (1990); 《物理评论E》18, 3178 (1993)]，得到了非线性伯内特系数的简单平衡表达式。在前述论文中给出了对32粒子伦纳德 - 琼斯流体的初步计算。现在，已有足够的资源来探讨软球的非线性伯内特系数是否为有限值这一问题。从模式耦合理论可知，硬球情形具有无穷大的非线性伯内特系数（即非解析本构关系）。本文报道了对经历色流的伦纳德 - 琼斯流体的三阶非线性伯内特系数的分子动力学计算，结果表明该项在热力学极限下发散。
