Long-time tails in two-dimensional cellular automata fluids

作     者：Toyoaki Naitoh Matthieu H. Ernst James W. Dufty 

作者机构：Department of Nuclear Engineering Massachusetts Institute of Technology Cambridge Massachusetts 02138 

出 版 物：《Physical Review A》 (物理学评论A辑：原子、分子和光学物理学)

年 卷 期：1990年第42卷第12期

页      面：7187-7187页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学] 

摘      要：Mode-coupling theory is used to calculate the Green-Kubo time correlation functions for the two-dimensional Frisch-Hasslacher-Pomeau lattice-gas cellular automaton. An intermediate algebraic decay ∼1/t and an asymptotic decay ∼1/[t √ln(t) ] are found. The amplitudes for these decays are calculated and it is found that the contribution from diffusive modes associated with spurious conservation laws is significant. For the computer simulations in cellular automata fluids only the algebraic tail is relevant; the asymptotic tail dominates only on time scales large compared to 1010 mean free times.