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Paper IPM / P / 9600  


Abstract:  
Extensive Monte Carlo study of twodimensional Ising model is done to investigate the statistical behavior of spin clusters and interfaces as a function of temperature, T. We use a tiebreaking rule to define interfaces of spin clusters on square lattice with strip geometry and show that such definition is consistent with conformal invariant properties of interfaces at critical temperature, T_{c}. The effective fractal dimensions of spin clusters and interfaces (d_{c} and d_{I}, respectively) are obtained as a function of temperature. We find that the effective fractal dimension of the spin clusters behaves almost linearly with temperature in three different regimes. It is also found that the effective fractal dimension of the interfaces undergoes a sharp crossover around T_{c}, between values 1 and 1.75 at low and high temperatures, respectively. We also check the finitesize scaling hypothesis for the percolation probability and the average mass of the largest spincluster in a good agreement with the theoretical predictions.
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