Self-averaging of random and thermally disordered diluted Ising systems

Details Self-averaging of random and thermally disordered diluted Ising systems Self-averaging of random and thermally disordered diluted Ising systems

1999-04-22

arxiv.org/abs/cond-mat/9904320v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4figures, RevTex

Scientific paper

10.1103/PhysRevE.60.2394

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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