Bethe格点上每点位多单体自回避行走模型的解
统计力学
2009-11-11 v2 软凝聚态物质
摘要
我们求解了Bethe格点上每点位最多两个单体的自回避行走模型。该模型受Domb-Joyce模型启发,最近被提出用于描述相互作用聚合物中观察到的塌缩转变[J. Krawczyk等人, Phys. Rev. Lett. 96, 240603 (2006)]。当允许立即自反转时(RA模型),解显示出相图,包含聚合相和非聚合相,由一级相变分隔,该相变在双占据位点的统计权重非零时出现。如果限制构型禁止立即自反转(RF模型),则发现更丰富的相图,显示三临界点和临界端点。
引用
@article{arxiv.cond-mat/0609518,
title = {Solution of a model of self-avoiding walks with multiple monomers per site on the Bethe lattice},
author = {Pablo Serra and Juergen F. Stilck},
journal= {arXiv preprint arXiv:cond-mat/0609518},
year = {2009}
}
备注
8 pages, 5 figures. Typos corrected, discussion extended, one reference added, style of graphs changed. Version accepted for publication in Phys. Rev. E