Boundary critical behavior ofd=2 self-avoiding walks on correlated and uncorrelated vacancies
Boundary critical behavior ofd=2 self-avoiding walks on correlated and uncorrelated vacancies
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d=2 在相关和不相关空缺上自我回避行走的边界临界行为
DOI：
10.1007/bf01052749
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发表时间：
1993
影响因子：
1.6
通讯作者：
C. Vanderzande
中科院分区：
文献类型：
--
作者：
A. Stella;F. Seno;C. Vanderzande
摘要在这篇文章中，我们给出了相互作用的自避行走的临界指数的精确结果。有效的相互作用是由对偶晶格上相关和不相关的空位来调节的。通过选择不同的边界条件，可以用团簇几何、临界和低温性质来描述几个普通和特殊的区域。
$$\数学{O}(n=1)$$
模特。特别地，完全解决了Θ点的边界指数问题，并讨论了Θ点普适性的含义。在非相互作用自回避行走的特殊转变处的表面交叉指数也可以用渗流维度来解释。
AbstractIn this paper we present exact results for the critical exponents of interacting self-avoiding walks with ends at a linear boundary. Effective interactions are mediated by vacancies, correlated and uncorrelated, on the dual lattice. By choosing different boundary conditions, several ordinary and special regimes can be described in terms of clusters geometry and of critical and lowtemperature properties of the
$$\mathcal{O}(n = 1)$$
model. In particular, the problem of boundary exponents at the Θ′-point is fully solved, and implications forΘ-point universality are discussed. The surface crossover exponent at the special transition of noninteracting self-avoiding walks is also interpreted in terms of percolation dimensions.