Abstract
The bond diluted Ising model is studied by Monte Carlo method. The simulation is carried out on a two dimensional square lattice with missing bonds and free boundary conditions. The aim of this work is to investigate the thermodynamical properties of this model for different disorder degree parameter σ . The critical temperature is determined from the Binder cumulant and is shown to decreases as the disorder parameter σ increases linearly.
Highlights
The 2D Ising model has been solved exactly by Onsager back on 1944 [1] and still holds nowadays an important place in the physics of phase transition and beyond
The bond diluted Ising model is studied by Monte Carlo method
The critical temperature is determined from the Binder cumulant and is shown to decreases as the disorder parameter σ increases linearly
Summary
The 2D Ising model has been solved exactly by Onsager back on 1944 [1] and still holds nowadays an important place in the physics of phase transition and beyond. We use the Binder cumulant to determine the critical temperature in the case of randomly bond diluted systems This type of disorder was studied for the first time by D.Zobin [2] only for periodic boundary conditions. The value of the critical temperature at the phase transition is determined using the fourth-order cumulant Binder [9] (only free boundary conditions are considered).
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