Finite-size effects in a cellular automaton for diffusion
Finite-size effects in a cellular automaton for diffusion
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元胞自动机中扩散的有限尺寸效应
DOI：
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发表时间：
1989
期刊：
影响因子：
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通讯作者：
K. Se
中科院分区：
文献类型：
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作者：
K. Se
在热力学极限下，硬方格子气体中的扩散是否受阻的问题映射为在元胞自动机的时间演化中是否发生渗流的问题。元胞自动机的最终状态进行了研究，从6x6到20，035x20，032的不同晶格尺寸。结果似乎表明，存在一个渗流阈值，即，扩散受阻的浓度范围。然而，由于这不可能是真实的无限系统，严格证明，它的结论是，有限尺寸的影响持续这个系统非常大的尺寸。
The question whether diffusion in the hard-square lattice gas is blocked in the thermodynamic limit is mapped to the problem whether percolation occurs in the time evolution of a cellular automaton. The final states of the cellular automaton are investigated for varying lattice sizes from 6x6 up to 20,035x20,032. The results seem to indicate that there is a percolation threshold, i.e., a range of concentrations for which diffusion is blocked. However, since this cannot be true for the infinite system, as proven rigorously, it is concluded that finite-size effects persist for this system up to very large sizes.