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Ising systems.

By Manuel I. Marqués and Julio A. Gonzalo


The crossover of a pure (undiluted) Ising system (spin per site probability p = 1) to a diluted Ising system (spin per site probability p < 0.8) is studied by means of Monte Carlo calculations with p ranging between 1 and 0.8 at intervals of 0.025. The evolution of the self averaging is analyzed by direct determination of the normalized square widths RM and Rχ as a function of p. We find a monotonous and smooth evolution from the pure to the randomly diluted universality class. The p-dependent transition is found to be indepent of size (L). This property is very convenient for extrapolation towards the randomly diluted universality class avoiding complications resulting from finite size effects. Systems with quenched randomness have been studied intensively for several decades [1]. One of the first results was establishing the so called Harris criterion [2], which predicts that a weak dilution does not change the critical behavior’s character near second order phase transitions for systems of dimension d with specific heat exponent lower than zero (the s

Year: 2000
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