EXACT TRICRITICAL EXPONENTS FOR POLYMERS AT THE THETA-POINT IN 2 DIMENSIONS
EXACT TRICRITICAL EXPONENTS FOR POLYMERS AT THE THETA-POINT IN 2 DIMENSIONS
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DOI：
10.1103/physrevlett.59.539
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发表时间：
1987-08-03
影响因子：
8.6
通讯作者：
SALEUR, H
中科院分区：
文献类型：
--
作者：
DUPLANTIER, B;SALEUR, H
我们在两个维度上提出了聚合物坍塌的三临界指数的精确值：ν=(4/7), γ=(8/7)和φ=(3/7)。它们是在具有随机禁六边形的六边形网格上的自回避行走模型中得到的，其渗透阈值给出了精确的临界点。由库仑气体法导出的无穷多个精确三临界指数是0 (n= 1) Ising模型在温度以下的临界指数，数值检验结果很好。
We propose the exact values of the tricritical exponents of a collapsing polymer in two dimensions: ν=(4/7, γ=(8/7, and φ=(3/7. They are obtained in a model of self-avoiding walk on a hexagonal lattice, with random forbidden hexagons, whose percolation threshold gives the exact tricritical point. The infinitely many exact tricritical exponents then derived from Coulomb gas methods are critical exponents of the O (n= 1) Ising model below T c. The numerical check is very good.