Estimating the critical parameters of the hard square lattice gas model

被引：0

作者：

Mandal, Dipanjan ^{[1
,2
]}

Nath, Trisha ^{[3
]}

Rajesh, R. ^{[1
,2
]}

机构：

[1] Inst Math Sci, CIT Campus, Madras 600113, Tamil Nadu, India

[2] Homi Bhabha Natl Inst, Training Sch Complex, Bombay 400094, Maharashtra, India

[3] Georg August Univ Gottingen, Inst Theoret Phys, D-37077 Gottingen, Germany

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2017年

关键词：

classical phase transitions; critical exponents and amplitudes; defects; exact results; PHASE-TRANSITIONS; RECTANGLES; AG(100); SYSTEMS; DIAGRAM; LIQUID;

D O I：

暂无

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The hard square lattice gas model on a square lattice is known to undergo a continuous phase transition from a low density fluid-like phase to high density phase with columnar or smectic order. We estimate the critical activity z(c) by calculating, within an approximation scheme, the interfacial tension between two differently ordered columnar phases, and then setting it to zero. The approximation scheme allows for the ordered phases to have multiple defects and the interface between the ordered phases to have overhangs. We estimate zc = 105.35, which is in good agreement with existing Monte Carlo simulation results of zc approximate to 97.5, and is an improvement over earlier best estimates of z(c) = 54.87 and z(c) = 135.63.

引用

页数：21

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