Department of Physics Papers
Document Type
Journal Article
Date of this Version
7-13-1998
Publication Source
Physical Review Letters
Volume
81
Issue
2
Start Page
252
Last Page
255
DOI
10.1103/PhysRevLett.81.252
Abstract
The renormalization group approach is used to study the effects of a “canonical” constraint (e.g., a fixed number of occupied bonds) on critical quenched disordered systems. The constraint is found to be always irrelevant, even near the “random” fixed point. This proves that α<0, or that ν>2/d. “Canonical” and “grand canonical” averages thus belong to the same universality class. Related predictions concerning the universality of non-self-averaging distributions are tested by Monte Carlo simulations of the site-diluted Ising model on the cubic lattice. In this case, the approach to the asymptotic distribution for “canonical” averaging is slow, resulting in effectively smaller fluctuations.
Recommended Citation
Aharony, A., Harris, A., & Wiseman, S. (1998). Critical Disordered Systems With Constraints and the Inequality ν > 2/d. Physical Review Letters, 81 (2), 252-255. http://dx.doi.org/10.1103/PhysRevLett.81.252
Date Posted: 20 August 2015
This document has been peer reviewed.