Ising model of an incompletely occupied square lattice with displaced spins

Date

12-2014

Degree

Bachelor of Science in Applied Physics

College

College of Arts and Sciences (CAS)

Adviser/Committee Chair

Joybel C. Bugna

Abstract

Spin displacement was introduced into the Ising model. Two variations of displacement dynamics were introduced into an incompletely occupied square lattice, namely, local and nonlocal spin displacement. For local spin displacement, the spins were only allowed to move within their original Moore neighborhoods. For nonlocal spin displacement, the spins were allowed to move within their Moore neighborhoods throughout the lattice. The metropolis algorithm was used to simulate the behavior of this model and the magnetization and critical temperature values were observed for various lattice sizes and spin occupancy values. It was observed that spin displacement causes the magnetization and critical temperature to decrease with the occupancy. This e_ect became more pronounced at occupancy values below the percolation threshold whereby the magnetization values for the lattices with spin displacement dropped to zero. It was also found that the magnetization and critical temperatures were lower for the lattices with nonlocal spin displacement than those with local spin displacement. These observations were consistent for all lattice sizes.

Language

English

Location

UPLB Main Library Special Collections Section (USCS)

Call Number

LG 993.5 2014 P51 D58

Document Type

Thesis

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