摘要翻译:
我们解决了一个自回避行走模型,该模型允许一个站点通过Husimi格上的行走最多被访问两次。该模型受Domb-Joyce模型的启发,仅用于描述单点相互作用聚合物的坍缩转变。我们考虑的版本,其中立即自反转的行走是禁止的(射频模型)。我们得到的巨正则模型的相图与Bethe晶格解中的相图相似,有两个不同的聚合相,一个三重点和一个临界端点。
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英文标题:
《Solution of a model of SAW's with multiple monomers per site on the
Husimi lattice》
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作者:
T. J. Oliveira, J. F. Stilck, P. Serra
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最新提交年份:
2008
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics 物理学
二级分类:Soft Condensed Matter 软凝聚态物质
分类描述:Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜,聚合物,液晶,玻璃,胶体,颗粒物质
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英文摘要:
We solve a model of self-avoiding walks which allows for a site to be visited up to two times by the walk on the Husimi lattice. This model is inspired in the Domb-Joyce model and was proposed to describe the collapse transition of polymers with one-site interactions only. We consider the version in which immediate self-reversals of the walk are forbidden (RF model). The phase diagram we obtain for the grand-canonical version of the model is similar to the one found in the solution of the Bethe lattice, with two distinct polymerized phases, a tricritical point and a critical endpoint.
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PDF链接:
https://arxiv.org/pdf/802.2335