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晶格上自组装刚性棒系统中各向同性-向列相转变的临界指数和普适性

Critical exponents and universality for the isotropic-nematic phase transition in a system of self-assembled rigid rods on a lattice.

作者信息

López L G, Linares D H, Ramirez-Pastor A J

机构信息

Departamento de Física, Instituto de Física Aplicada, CONICET, Universidad Nacional de San Luis, 5700 San Luis, Argentina.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4 Pt 1):040105. doi: 10.1103/PhysRevE.80.040105. Epub 2009 Oct 22.

DOI:10.1103/PhysRevE.80.040105
PMID:19905261
Abstract

Monte Carlo simulations have been carried out for a system of monomers on square lattices that, by decreasing temperature or increasing density, polymerize reversibly into chains with two allowed directions and, at the same time, undergo a continuous isotropic-nematic (IN) transition. The results show that the self-assembly process affects the nature of the transition. Thus, the calculation of the critical exponents and the behavior of Binder cumulants indicate that the universality class of the IN transition changes from two-dimensional Ising-type for monodisperse rods without self-assembly to q=1 Potts-type for self-assembled rods.

摘要

针对方形晶格上的单体系统进行了蒙特卡罗模拟,该系统通过降低温度或增加密度,可逆地聚合成具有两个允许方向的链,同时经历连续的各向同性-向列相(IN)转变。结果表明,自组装过程会影响转变的性质。因此,临界指数的计算和Binder累积量的行为表明,IN转变的普适类从无自组装的单分散棒的二维伊辛型转变为自组装棒的q = 1 Potts型。

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