...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Dynamical crossover in invasion percolation
【24h】

Dynamical crossover in invasion percolation

机译：侵袭渗透的动态交叉

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The dynamical properties of the invasion percolation on the square lattice are investigated with an emphasis on the geometrical properties on the growing cluster of infected sites. The exterior frontier of this cluster forms a critical loop ensemble (CLE), whose length (l), the radius (r) and also roughness (w) fulfill the finite-size scaling hypothesis. The dynamical fractal dimension of the CLE defined as the exponent of the scaling relation between l and r is estimated to be D-f = 1.76 0.04. By studying the autocorrelation functions of these quantities we show importantly that there is a crossover between two time regimes, in which these functions change behavior from power-law at the small times, to exponential decay at long times. In the vicinity of this crossover time, these functions are estimated by log-normal functions. We also show that the increments of the considered statistical quantities, which are related to the random forces governing the dynamics of the observables undergo an anticorrelation/correlation transition at the time that the crossover takes place.
机译：本文研究了方格点上入侵渗流的动力学性质，重点研究了增长的感染位点簇的几何性质。这个星团的外部边界形成了一个临界环系综（CLE），其长度（l）、半径（r）和粗糙度（w）都满足有限尺寸尺度假设。CLE的动态分维定义为l和r之间标度关系的指数，估计为D-f=1.76 0.04。通过研究这些量的自相关函数，我们重要地表明，在两个时间区域之间存在交叉，在这两个时间区域中，这些函数的行为从小时间的幂律变化到长时间的指数衰减。在这个交叉时间附近，这些函数由对数正态函数估计。我们还表明，所考虑的统计量的增量在交叉发生时经历了反相关/相关转换，这些统计量与控制可观测动态的随机力有关。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号