The Phase Transition of the 2D-Ising Model By Using Monte Carlo Method

Kudeer, Dhia'a Khalid; Abood, Saad. N.

doi:10.30684/etj.29.2.7

	The Phase Transition of the 2D-Ising Model By Using Monte Carlo Method
Engineering and Technology Journal
Article 1, Volume 29, Issue 2, 2011, Pages 261-277 PDF (267.22 K)
DOI: 10.30684/etj.29.2.7
Authors
Dhia'a Khalid Kudeer¹; Saad. N. Abood²
¹Applied Sciences Department, University of Technology /Baghdad
²Sciences College, University of Al - Anbar, Al - Anbar
Abstract
In this project, the location of the phase transition in the two dimensional Ising model will be determined using Monte Carlo simulation with importance sampling. the magnetization per site [m ], energy per site [J ], magnetic susceptibility, specific heat of a Ferromagnetic materials are Calculated as a function of temperature T for 10´10, 20´ 20, 40´ 40 , 50´50 spin lattice interaction by using Monte Carlo Simulation of the 2D Ising Model for some experimental values of ferromagnetic materials such as Gadolinium Chloride ( ) 3 GdCl at Curie temperature c T B = 2.2 J k , and ferromagnetic thin film from Nickel ( ) i N growth on cooper (Cu)at Curie temperature c B T = 2.772 J k , in zero and nonzero magnetic field. It was noticed that above a certain temperature ( ) c T the material will be in a paramagnetic state, this will lead to that the average magnetization will be decrease and the average energy increase, while below that temperature ,it will be in a ferromagnetic state, and the average magnetization will increase and the average energy decrease. Moreover, above a certain temperature spontaneous magnetization will be zero
Keywords
Monte Carlo methods; the XYmodel

Statistics Article View: 273 PDF Download: 205