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Statistical analysis and Monte Carlo simulation of growing self-avoiding walks on percolation
Physics Letters A ( IF 2.6 ) Pub Date : 2005-09-01 , DOI: 10.1016/j.physleta.2005.06.098
Yu-Xia Zhang , Jian-Ping Sang , Xian-Wu Zou , Zhun-Zhi Jin

The two-dimensional growing self-avoiding walk on percolation was investigated by statistical analysis and Monte Carlo simulation. We obtained the expression of the mean square displacement and effective exponent as functions of time and percolation probability by statistical analysis and made a comparison with simulations. We got a reduced time to scale the motion of walkers in growing self-avoiding walks on regular and percolation lattices.

中文翻译:

越来越多的自回避步行的统计分析和蒙特卡罗模拟

通过统计分析和蒙特卡罗模拟研究了二维生长的自回避渗流。我们通过统计分析得到了均方位移和有效指数作为时间和渗流概率的函数的表达式,并与模拟进行了比较。我们减少了时间来缩放步行者在规则和渗透格子上不断增长的自我回避步行的运动。
更新日期:2005-09-01
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