Direct determination of the conductivity exponent in directed percolation.
Direct determination of the conductivity exponent in directed percolation.
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直接测定定向渗滤中的电导率指数。
DOI：
10.1103/physrevb.33.2017
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发表时间：
1986
期刊：
影响因子：
--
通讯作者：
Binenbaum
中科院分区：
文献类型：
--
作者：
Balberg;Binenbaum
二极管连续系统中的主干是通过应用这样的猜想来确定的，即在定向渗流中，主干是属于“源-漏”渗流簇以及反向“漏-源”渗流簇的二极管的集合。获得骨架使我们能够应用我们以前用于非定向渗流系统的系统阻力计算程序。然后，我们提出了一种方法，这种方法比以前用于定向渗流问题的方法更系统、更普遍、更直接。我们还发现，这种方法给出了一个更准确的电导临界指数t=0.63\ifmmod\pm\Else\TextPM\FI 0.05。
The backbone in a continuum system of diodes is determined by applying the conjecture that in directed percolation the backbone is the collection of diodes which belong to the ``source-to-drain'' percolating cluster, as well as to the reversed ``drain-to-source'' percolating cluster. Obtaining the backbone enables us to apply our systematic resistance-computation procedure, which has been previously used for nondirected percolating systems. We suggest then a method which is based on a more systematic, more general, and more direct procedure than those used previously for the directed-percolation problem. We also find that this method yields a more accurate value for the conductivity critical exponent t=0.63\ifmmode\pm\else\textpm\fi{}0.05.