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arXiv 1707.07965cond-mat.stat-mech
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逾渗过程中的攻击与感染

Attacks and Infections in Percolation Processes

Hans-Karl Janssen, Olaf Stenull

摘要:

在扩展的一般传染病过程的基础上,讨论了渗流过程传播前沿的攻击和传染。在普通和三临界渗流过渡的长时间限制的攻击和感染的网站的数量的标度行为是由特定的复合算子的场论表示的这个过程。我们计算了平均场论中三临界渗流和1-圈阶普通渗流的临界指数。我们的结果与现有的数值数据吻合得很好。

英文摘要:

We discuss attacks and infections at propagating fronts of percolation processes based on the extended general epidemic process. The scaling behavior of the number of the attacked and infected sites in the long time limit at the ordinary and tricritical percolation transitions is governed by specific composite operators of the field-theoretic representation of this process. We calculate corresponding critical exponents for tricritical percolation in mean-field theory and for ordinary percolation to 1-loop order. Our results agree well with the available numerical data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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