Dynamics of a classical hard-sphere gas I. Formal theory
Dynamics of a classical hard-sphere gas I. Formal theory
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经典硬球气体动力学 I. 形式理论
DOI：
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发表时间：
1982
期刊：
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通讯作者：
E. Leutheusser
中科院分区：
文献类型：
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作者：
E. Leutheusser
在经典硬球流体动力学的微观理论中，导出了一个动力学方程并近似求解。除了已经包含在广义Enskog理论中的不相关的二元碰撞外，该理论还通过模式耦合近似描述了相关碰撞。这导致在一个封闭的一组非线性方程的密度，纵向和横向电流密度和能量密度的相关函数进行数值求解。唯一需要的输入是密度。这些相关函数的所有现有的求和规则都得到了满足。该理论包括自由粒子的限制，精确的热力学和适当的流体动力学限制产生修正的Enskog输运系数。
In a microscopic theory for the dynamics of a classical hard sphere fluid a kinetic equation is derived and solved approximately. Besides incorrelated binary collisions which are already included in the generalised Enskog theory, the theory also describes correlated collisions by a mode-coupling approximation. This results in a closed set of non-linear equations for the correlation functions of density, longitudinal and transverse current density and energy density to be solved numerically. The only input required is the density. All existing sum rules of these correlation functions are fulfilled. The theory includes the free particle limit, the exact thermodynamics and a proper hydrodynamic limit yielding corrections to the Enskog transport coefficients.