Percolation transition in fluids: scaling behavior of the spanning probability functions.
Percolation transition in fluids: scaling behavior of the spanning probability functions.
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DOI：
10.1103/physrevlett.99.127801
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发表时间：
2007-09
影响因子：
8.6
通讯作者：
J. Škvor;I. Nezbeda;I. Brovchenko;A. Oleinikova
中科院分区：
文献类型：
--
作者：
J. Škvor;I. Nezbeda;I. Brovchenko;A. Oleinikova
我们在超临界方井流体的渗透阈值附近研究了不同的跨越概率函数（包裹和交叉），并确定了这些概率的阈值，这可能是所有流体的普遍值。结果表明，对于一个连续系统，在较大的系统尺寸范围内，包络概率可以用通用尺度函数来描述，而在相同的系统尺寸范围内，交叉概率不能表现出这种通用行为。所得到的包覆概率的通用函数可用于一般流体中渗透阈值的估计。交叉概率的结果使我们能够描述实际流体中的大簇。
We examine different spanning probability functions (wrapping and crossing) near the percolation threshold of a supercritical square-well fluid and determine the threshold values of these probabilities, which may be universal for all fluids. It is shown that for a continuous system, over a wide range of system size, the wrapping probabilities can be described by universal scaling functions, whereas the crossing probabilities do not show such universal behavior over the same range of system size. The obtained universal functions for the wrapping probabilities can be used for an estimation of the percolation threshold in fluids in general. The results for the crossing probabilities allow us then to characterize large clusters in real fluids.