Critical Disordered Systems with Constraints and the Inequalityν>2/d | Zendy

Am Aharony | Zendy; A. B. Harris | Zendy; Shai Wiseman | Zendy

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Critical Disordered Systems with Constraints and the Inequalityν>2/d

Author(s) -

Am Aharony,

A. B. Harris,

Shai Wiseman

Publication year - 1998

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.81.252

Subject(s) - renormalization group , ising model , universality (dynamical systems) , combinatorics , statistical physics , physics , critical point (mathematics) , hamiltonian (control theory) , monte carlo method , mathematical physics , mathematics , quantum mechanics , statistics , mathematical analysis , mathematical optimization

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 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.

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