An Ising model of a ferromagnetic network of chains on a two-dimensional square lattice

Date

4-2010

Degree

Bachelor of Science in Applied Physics

College

College of Arts and Sciences (CAS)

Adviser/Committee Chair

Hannah Rissah E. Forio

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Abstract

An Ising model of ferromagnetic network of chains on a two dimensional square lattice was simulated. This model serves as an alternative way of analyzing the spin system particle interaction of a thin film magnetic polymer. In this study the model simulates a network of chains on a two dimensional lattice that imitates radical polymerization. The network chain creation follows the concept of modified self avoiding random walk. The structure is then considered to be in a ferromagnetic state having each node assigned with a positive spin. The spin interaction is then analyzed as the system is subjected to increasing temperature using a metropolis Monte Carlo method having the Boltzmann factor as a criterion for spin flipping. It was observed that the magnetization decreases rapidly while energy increases swiftly near the critical temperature. Results showed that the peak of the specific heat per particle increases as the critical temperature is increased. Moreover, the critical temperature increases as the film density is increased by raising the number of interacting chains. This implies that critical temperature is dependent on the number of von Neumann neighborhood, due to the finite effect of the clusters for lower film density. As a result, magnetization, specific heat capacity and phase transition are dependent on film or lattice density.

Language

English

Location

UPLB Main Library Special Collections Section (USCS)

Document Type

Thesis

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