Evolution of the universality class in slightly diluted (1>p>0.8) Ising systems

Manuel I Marqués and Julio A Gonzalo

Physica A: Statistical Mechanics and its Applications, 2000, vol. 284, issue 1, 187-194

Abstract: 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.

Keywords: Ising models; Diluted systems; Random fixed point (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:284:y:2000:i:1:p:187-194

DOI: 10.1016/S0378-4371(00)00228-4

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