Facultad de Ciencias Físico-Matemáticas, Benemérita Universidad Autónoma de Puebla, Puebla, Puebla, Mexico.
J Phys Condens Matter. 2012 Sep 19;24(37):375107. doi: 10.1088/0953-8984/24/37/375107. Epub 2012 Aug 14.
Using the generalized Langevin equation formalism and the process of contraction of the description we derive a general memory function equation for the thermal fluctuations of the local density of a simple atomic liquid. From the analysis of the long-time limit of this equation, a striking equivalence is suggested between the long-time dynamics of the atomic liquid and the dynamics of the corresponding Brownian liquid. This dynamic equivalence is confirmed here by comparing molecular and Brownian dynamics simulations of the self-intermediate scattering function and the long-time self-diffusion coefficient for the hard-sphere liquid.
利用广义朗之万方程形式和描述的收缩过程，我们推导出了简单原子液体局部密度热涨落的一般记忆函数方程。从该方程的长时间极限分析中，原子液体的长时间动力学与相应的布朗液体动力学之间存在惊人的等价性。通过比较硬球液体的自中间散射函数和长时间自扩散系数的分子动力学和布朗动力学模拟，本文在这里验证了这种动态等价性。
