TwoDimensional IsingModel ApplicationWith MONTE CARLO Method | ||
| Journal of University of Anbar for Pure Science | ||
| Article 37, Volume 7, Issue 2, August 2013, Pages 1-6 PDF (741.64 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2013.84993 | ||
| Authors | ||
| Dhia K. Khudier1; Nabeil A. Fawaz2 | ||
| 1Universityof Al –anbar, College of pharmacy | ||
| 2University of Al – anbar, College of science | ||
| Abstract | ||
| The location of the phase transition in the two dimensional Ising model were determined using Monte Carlo simulation with importance sampling. The magnetization persite ,energy per site , magnetic susceptibility , specific heat of a Ferromagnetic materials were calculated as a function of temperature for spin lattice interaction in zero and nonzero magnetic field . There is thus a phase transition defined by the Curie temperature. The Monte Carlo method was used to check the results and to confirm the phase transition . The internal interaction results were found to be consistent with what was expected. As a magnetic field is applied, the spins tend to align with it for ˃ and its effect is not significant at a very high temperature because of the thermal agitation. For ˂ , the alignment of the spins is possible only if the amplitude of the field is big enough. | ||
| Keywords | ||
| spin anisotropy; Monte Carlo simulation; The XY model; Ising model | ||
| References | ||
|
[1] Gauvin Laetitia, (December 17, 2004). "Monte Carlo Method applied to the Ising Model " .
[2] Jacques Kotze, (3Mar 2008). "Introduction to Monte Carlo methods for an Ising Model of a Ferromagnet " .
[3] K. Binder ,D.W. Heermann,1997.
"Monte Carlo Simulation in Statical Physics". Springer, Berlin .
[4] Jon Emil Gudmundsson,(2010). "Monte Carlo method and the Ising model", University of Uppsala, Course: Statistical methods in Physics. Teacher: Gunnar Ingelman .
[5] Stefan Sellner, (March 11, 2008), "Ising model calculations using the Monte-Carlo method" .
[6] Tobin Fricke,( Taken on the 9th of March 2008). "Monte Carlo investigation of the Ising model"
[7] L. Onsager, Phys. Rev. 65, 1944, 117 . | ||
|
Statistics Article View: 226 PDF Download: 43 |
||