估计相互作用自避行走正则配分函数的生长行走模型
统计力学
2009-11-13 v2
摘要
我们详细解释了为什么相互作用自避行走（ISAW）的正则配分函数，如果对整个行走的谱系树取平均，则完全等价于与生长行走（如相互作用生长行走（IGW））相关联的权重的构型平均。在此背景下，我们证明了如果局域生长规则依赖于温度，则并不总是能将态密度从正则配分函数中分离出来。我们给出了金刚石晶格上IGW的蒙特卡罗结果，以证明可供研究的IGW构型实际集合是依赖于温度的，尽管加权平均给出了相互作用自避行走（ISAW）的预期热力学行为。
引用
@article{arxiv.0706.0065,
title = {A growth walk model for estimating the canonical partition function of Interacting Self Avoiding Walk},
author = {S. L. Narasimhan and P. S. R. Krishna and M. Ponmurugan and K. P. N. Murthy},
journal= {arXiv preprint arXiv:0706.0065},
year = {2009}
}
备注
Revised version consisting of 12 pages (RevTeX manuscript, plus three .eps figure files); A few sentences in the second paragraph on Page 4 are rewritten so as to make the definition of the genealogical tree, ${\cal Z}_N$, clearer. Also, the second equality of Eq.(1) on Page 4, and its corresponding statement below have been removed