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Self-averaging of random and thermally disordered diluted Ising systems

M. I. Marques·J. A. Gonzalo
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Abstract

Self-averaging of singular thermodynamic quantities at criticality for randomly and thermally diluted three dimensional Ising systems has been studied by the Monte Carlo approach. Substantially improved self-averaging is obtained for critically clustered (critically thermally diluted) vacancy distributions in comparison with the observed self-averaging for purely random diluted distributions. Critically thermal dilution, leading to maximum relative self-averaging, corresponds to the case when the characteristic vacancy ordering temperature is made equal to the magnetic critical temperature for the pure 3D Ising systems. For the case of a high ordering temperature, the self-averaging obtained is comparable to that in a randomly diluted system.

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M. I. Marques, J. A. Gonzalo. 1999-04-22. Self-averaging of random and thermally disordered diluted Ising systems. https://doi.org/10.1103/physreve.60.2394

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