Volume 9, Issue 3, November 2014, Pages 1336–1344
D.A. Ajadi1, L.A. Sunmonu2, O.A. Aremu3, and J.A. Oladunjoye4
1 Pure and Applied Physics Department, Ladoke Akintola University of Technology, P.M.B 4000, Ogbomoso, Oyo state, Nigeria
2 Pure and Applied Physics Department, Ladoke Akintola University of Technology, P.M.B 4000, Ogbomoso, Oyo state, Nigeria
3 Department of Physics, The Polytechnic, Ibadan P.M.B 22, U.I. Post Office, Ibadan, Oyo state, Nigeria
4 Department of Computer Science, Federal University Wukari, Taraba state, Nigeria
Original language: English
Copyright © 2014 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this work, the critical phenomena of Nickel II Iron III oxide (Ferromagnetic) shall be determined using Monte Carlo simulation technique. The critical temperature (Tc), the magnetization per site (?), energy per site (E), magnetic susceptibility (?), specific heat of a NiOFe2O3 are determined as a function of temperature for two different square lattices 20x20 and 150x150. The analysis of simulation results indicates that the bipolar magnet with strong tetragonal distortion in external magnetic field applied along the axis resembles the behaviour of the two dimensional Ising model on the rectangular lattices. The numerical solution of the model in MATLAB "R2013a" is presented. For the sake of clarity, a Monte Carlo Algorithm known as Metropolis Hastings Algorithm was used to evaluate the behaviour of the lattice and the critical temperature at which the phase transition between NiOFe2O3 and paramagnetic state occurs was noted. The analysis of the results shows that Tc = 2.25J/KB , in the absence of external magnetic field. It was observed that above (Tc) the material (NiOFe2O3) becomes a paramagnetic state, and this leads to decreasing in average magnetization and the average Energy increases, while below (Tc) the material is in a ferromagnetic state.
Author Keywords: Critical temperature, Ferromagnetic, Lattice, Simulation, Susceptibility, Nickel.
D.A. Ajadi1, L.A. Sunmonu2, O.A. Aremu3, and J.A. Oladunjoye4
1 Pure and Applied Physics Department, Ladoke Akintola University of Technology, P.M.B 4000, Ogbomoso, Oyo state, Nigeria
2 Pure and Applied Physics Department, Ladoke Akintola University of Technology, P.M.B 4000, Ogbomoso, Oyo state, Nigeria
3 Department of Physics, The Polytechnic, Ibadan P.M.B 22, U.I. Post Office, Ibadan, Oyo state, Nigeria
4 Department of Computer Science, Federal University Wukari, Taraba state, Nigeria
Original language: English
Copyright © 2014 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this work, the critical phenomena of Nickel II Iron III oxide (Ferromagnetic) shall be determined using Monte Carlo simulation technique. The critical temperature (Tc), the magnetization per site (?), energy per site (E), magnetic susceptibility (?), specific heat of a NiOFe2O3 are determined as a function of temperature for two different square lattices 20x20 and 150x150. The analysis of simulation results indicates that the bipolar magnet with strong tetragonal distortion in external magnetic field applied along the axis resembles the behaviour of the two dimensional Ising model on the rectangular lattices. The numerical solution of the model in MATLAB "R2013a" is presented. For the sake of clarity, a Monte Carlo Algorithm known as Metropolis Hastings Algorithm was used to evaluate the behaviour of the lattice and the critical temperature at which the phase transition between NiOFe2O3 and paramagnetic state occurs was noted. The analysis of the results shows that Tc = 2.25J/KB , in the absence of external magnetic field. It was observed that above (Tc) the material (NiOFe2O3) becomes a paramagnetic state, and this leads to decreasing in average magnetization and the average Energy increases, while below (Tc) the material is in a ferromagnetic state.
Author Keywords: Critical temperature, Ferromagnetic, Lattice, Simulation, Susceptibility, Nickel.
How to Cite this Article
D.A. Ajadi, L.A. Sunmonu, O.A. Aremu, and J.A. Oladunjoye, “2D-Ising model for Simulation of Critical Phenomena of NiOFe2O3 using Monte Carlo Technique,” International Journal of Innovation and Applied Studies, vol. 9, no. 3, pp. 1336–1344, November 2014.
