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

Abstract

An Ising model ferromagnetic network of chains on a two dimensional square lattice was simulated. The 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 initiates 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 mode assigned with the positive spin. The 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 increase swiftly near critical temperature. Results showed that the peak of the specific heat per particle increase as the critical temperature is increased. Moreover, the critical temperature increases as the film density in increased by raining 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)

Call Number

Thesis

Document Type

Thesis

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