Authors
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
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