Stochastic rotation dynamics. I. Formalism, Galilean invariance, and Green-Kubo relations
Stochastic rotation dynamics. I. Formalism, Galilean invariance, and Green-Kubo relations
复制标题
DOI：
10.1103/physreve.67.066705
复制
发表时间：
2003-06-01
影响因子：
2.4
通讯作者：
Kroll, DM
中科院分区：
文献类型：
--
作者：
Ihle, T;Kroll, DM
本文对最近提出的一种具有连续速度和有效多粒子碰撞的流体动力学随机模型进行了详细的分析和数值分析。它示出了如何充分伽利略不变性可以实现任意马赫数和如何其他低温异常可以删除。数值研究了向热平衡的弛豫，并测量了弛豫时间。运动方程的相关函数的粗粒度的流体动力变量推导出使用离散时间投影算子技术，并给出了所有相关的传输系数的Green-Kubo关系。在下面的论文（第二部分）中，导出了输运系数的解析表达式，并与模拟结果进行了比较。在速度和应力的自相关函数的长时间尾巴的测量和示出的连续系统与以前的模式耦合理论是在良好的协议。
A detailed analytical and numerical analysis of a recently introduced stochastic model for fluid dynamics with continuous velocities and efficient multi-particle collisions is presented. It is shown how full Galilean invariance can be achieved for arbitrary Mach numbers and how other low temperature anomalies can be removed. The relaxation towards thermal equilibrium is investigated numerically, and the relaxation time is measured. Equations of motions for the correlation functions of coarse-grained hydrodynamic variables are derived using a discrete-time projection operator technique, and the Green-Kubo relations for all relevant transport coefficients are given. In the following paper (Part 2), analytic expressions for the transport coefficients are derived and compared with simulation results. Long-time tails in the velocity and stress autocorrelation functions are measured and shown to be in good agreement with previous mode-coupling theories for continuous systems.