边界畴突桥生长的普适性
Universality in boundary domain growth by sudden bridging
摘要：
我们报告的普遍性，在最大浓度的限制，在集群聚集的边界域增长。最大浓度意味着团簇的扩散率实际上为零，相反，团簇在渗滤过程中连续合并，这导致边界域的突然增长。对于线性尺寸为L的二维正方形晶格，独立于这里研究的模型，我们发现，边界界面宽度的最大值，磁化率$χ$，表现出标度$χ\sim L^γ$与普适指数$γ= 1$。在渗流阈值的边界域的快速增长，这是保证发生几乎{ \em任何}集群渗流过程中，$χ$的普遍标度的基础。
英文摘要：
We report on universality in boundary domain growth in cluster aggregation in the limit of maximum concentration. Maximal concentration means that the diffusivity of the clusters is effectively zero and, instead, clusters merge successively in a percolation process, which leads to a sudden growth of the boundary domains. For two-dimensional square lattices of linear dimension L, independent of the models studied here, we find that the maximum of the boundary interface width, the susceptibility $χ$, exhibits the scaling $χ\sim L^γ$ with the universal exponent $γ= 1$. The rapid growth of the boundary domain at the percolation threshold, which is guaranteed to occur for almost {\em any} cluster percolation process, underlies the universal scaling of $χ$.
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。
