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Two Dimensional Ising Model Estimation With Monte Carlo Method For Different Lattice Sizes | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 24, Issue 6, 2013, Pages 89-100 | ||
| Authors | ||
| ; a Khalid K | ||
| Abstract | ||
| In this project, the effects of the size of the lattice on the transition of the Phase in the two dimensional ising model were determined by using Monte Carlo simulation. The magnetization per site , the energy per site of a ferromagnetic materials were Calculated as a function of interaction strength for spin lattice interaction by using Monte Carlo Simulation of the 2D ising model in which the results of computer simulations agree with other sources that claim that the critical value of interaction strength is close to , in zero magnetic field. Also the results were consistent with the expected Monte Carlo model and theoretical values for the bigger lattice in which infinite size effect. Further the evolution of the thermodynamic quantities and interaction strength near the transition as well the relation between energy, magnetization were examined. | ||
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