二維有序結構的探討，在以前大多只討論有關庫侖靜電力的系統，現在則一舉進步到磁偶極力的系統。本論文把重點放在磁流體（FerroFluid）的有序結構的形成。磁流體的有序結構，在實驗室裡見到的有六角形（Hexagonal）與迷宮（Labyrinthine）結構。本論文利用蒙地卡羅方法，模擬二維磁流體有序結構的成長過程。

The dynamics of systems of interacting ferromagnetic nanoparticles has been the focus of extensive research within the recent years. Magnetic fluids are colloidal suspensions of ferromagnetic particles covered with a surfactant layer, dispersed in a host liquid. Theoretical calculations, computer simulations and experiments indicate the possible existence of a ferromagnetic liquid state, although definitive experimental evidence is lacking. We discuss the appearance of ordered structures in assemblies of magnetic particles by Monte Carlo method.
Several models of dipolar interacting systems have been studied in the literature. Numerical investigations were based on density functional approaches and Monte Carlo simulations. We use the simplest way to simulate the pattern formations in ferrofluids by considering only dipole-dipole interaction energy , Hammaker energy and Steric repulsion energy.

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