Entropy Driven Phase Transitions in Hard-Core Lattice Gas Models

Datta, Aniruddha (2023) Entropy Driven Phase Transitions in Hard-Core Lattice Gas Models. Masters thesis, Indian Institute of Science Education and Research Kolkata.

Text (MS dissertation of Aniruddha Datta (18MS019)) Thesis_18MS019.pdf - Submitted Version Restricted to Repository staff only Download (853kB)

Abstract

The aim of this project is to study the phase behaviour of hard-core lattice gas models. At a fixed density and temperature, these systems can achieve ordering only by increasing their entropy since their internal energy is fixed. The Biroli-M´ezard (BM) models are a family of such models which generalises the nearest neighbor exclusion interaction. In this project we study the critical behavior of BM models on two-dimensional square lattice using a modified version of the Wang-Landau Monte Carlo algorithm employing cluster updates, named the Strip-Cluster Wang-Landau method. The report is organised as follows. Section 2 briefly explains the concept of entropy-driven phase transitions. Section 3 discusses the models and some previously known results about them. In Section 4 we take a look at the simulation algorithm used to derive the results. Section 5 records the results and analysis for the BM3 model, while Section 6 lays out future directions for the project.

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