Self-averaging of random and thermally disordered diluted Ising systems

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.

4 pages, 4figures, RevTex

Cited by in corpus (6)

• Universality Class of Thermally Diluted Ising Systems at Criticality
• Entropy of the diluted antiferromagnetic Ising models on the frustrated lattices using the Wang-Landau method
• On the Finite Size Scaling in Disordered Systems
• Effect of long range spatial correlations on the lifetime statistics of an emitter in a two-dimensional disordered lattice
• Evolution of the universality class in slightly diluted (1>p>0.8) Ising systems
• Dynamic Scaling in Diluted Systems Phase Transitions: Deactivation trough Thermal Dilution