Ising Model Phase Transition Calculation for Ferro-Paramagnetic Lattice

• Autorzy: Khudier D. K. , Fawaz N. I.
• Języki publikacji: EN

Abstrakty

EN

The position of the phase transition in the two dimensional Ising model were determined by using Monte Carlo simulation in a quadratic for area of variable length with external magnetic field switched off (B = 0). The magnetization per site , magnetic susceptibility of a ferromagnetic and paramagnetic materials were calculated as a function of temperature for , spin lattice interactions. Nearest neighbor interaction is assumed (i.e. each spin has 4 neighbors); uses periodic boundary conditions. The Curie temperature is determined by measuring the magnetic susceptibility at which the ferromagnetic and paramagnetic undergoes a phase change from order to disorder. There is thus a phase transition defined by the Curie temperature. The Monte Carlo method were used to check these results and to confirm the phase transition. The data are analyzed using the Curie-Weiss law which contains the Curie temperature as a parameter.

Słowa kluczowe

EN

Monte Carlo simulation; magnetic; Ferromagnetic materials

• Wydawca: Przedsiębiorstwo Wydawnictw Naukowych "DARWIN"
• Czasopismo: International Letters of Chemistry, Physics and Astronomy
• Rocznik: 2013
• Tom: Vol. 10, iss. 2
• Strony: 201--212
• Opis fizyczny: Bibliogr. 10 poz., rys., wykr.

Twórcy

autor

Khudier D. K.

• College of Pharmacy, University of Anbar, P.O. Box 55, Al-Anbar, Iraq

autor

Fawaz N. I.

• College of Science, University of Anbar, P.O. Box 55, Al-Anbar, Iraq

Bibliografia

• [1] Madison, Wisconsin 53706, Ferromagnetism–The Curie Temperature of Gadolinium, Advanced Laboratory, Physics 407,University of Wisconsin, (4/9/2003).
• [2] Charles Kittel, Introduction to Solid State, Inc. See the sections on Paramagnetism and Ferromagnetism, Physics 6th ed.(1986) John Wiley & Sons.
• [3] Robert Knegjens, Simulation of the 2D Ising Model, May 13, 2008 .
• [4] Wolfgang Wieser, Simple ising model magnetization simulation, Copyright © 2004-2008 by Last modified: 2008-01-22 02:49:17 .
• [5] Indrek Mandre, The ising model, Course project in simulation of physical processes, Tallinn University of Technology, Dept. of Physics, Tallinn 2008 .
• [6] Jon Emil Gudmundsson, Monte Carlo method and the Ising model, University of Uppsala, Course: Statistical methods in Physics. Teacher: Gunnar Ingelman, 2010 .
• [7] Stefan Sellner, Ising model Calculations using the Monte-Carlo method, March 11, 2008.
• [8] Tobin Fricke, Monte Carlo investigation of the Ising model, Taken on the 9th of March 2008, March 11, 2008 .
• [9] Jacques Kotze, Introduction to Monte Carlo methods for an Ising Model of a Ferromagnet, 3Mar 2008.
• [10] Matthias Reggentin, Monte Carlo Methods in Physics Ising model and Metropolis