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

共 50 条

[31] Critical activity of the hard-sphere lattice gas on the body-centred cubic lattice
Yamagata, A
PHYSICA A, 1996, 224 (3-4): : 677 - 683
[32] Critical configurations of the hard-core model on square grid graphs
Baldassarri, Simone
Jacquier, Vanessa
Zocca, Alessandro
COMBINATORICS PROBABILITY AND COMPUTING, 2025,
[33] A LATTICE MODEL OF A CLASSICAL HARD SPHERE GAS .2.
BURLEY, DM
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1961, 77 (494): : 451 - &
[34] PERCOLATION AND THE HARD-CORE LATTICE-GAS MODEL
VANDENBERG, J
STEIF, JE
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1994, 49 (02) : 179 - 197
[35] EXACT GROUND-STATES OF THE LATTICE GAS AND THE ISING-MODEL ON THE SQUARE LATTICE
KANAMORI, J
KABURAGI, M
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1983, 52 (12) : 4184 - 4191
[36] Critical properties of the edge-cubic spin model on a square lattice
Surungan, Tasrief
Kawashima, Naoki
Okabe, Yutaka
PHYSICAL REVIEW B, 2008, 77 (21):
[37] Critical behavior of the susceptible-infected-recovered model on a square lattice
Tome, Tania
Ziff, Robert M.
PHYSICAL REVIEW E, 2010, 82 (05)
[38] VERTEX MODELS FOR THE HARD-SQUARE AND HARD-HEXAGON GASES, AND CRITICAL PARAMETERS FROM THE SCALING TRANSFORMATION
WOOD, DW
GOLDFINCH, M
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (08): : 2781 - 2794
[39] Critical properties of the susceptible-exposed-infected model on a square lattice
Wada, Alexander H. O.
Tome, Tania
de Oliveira, Mario J.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2015,
[40] STRUCTURE OF THE CRITICAL LINES FOR THE LATTICE GAS-MODEL
MEIJER, PHE
PEGG, IL
PHYSICA A, 1991, 174 (2-3): : 391 - 405

← 1 2 3 4 5 →