Equilibrium Ensemble Approach to Disordered Systems I: General Theory, Exact Results

Details Equilibrium Ensemble Approach to Disordered Systems I: General Theory, Exact Results Equilibrium Ensemble Approach to Disordered Systems I: General Theory, Exact Results

1995-06-07

arxiv.org/abs/cond-mat/9506028v1

Physics

Condensed Matter

24 pages, Latex

Scientific paper

10.1007/s002570050117

An outline of Morita's equilibrium ensemble approach to disordered systems is given, and hitherto unnoticed relations to other, more conventional approaches in the theory of disordered systems are pointed out. It is demonstrated to constitute a generalization of the idea of grand ensembles and to be intimately related also to conventional low--concentration expansions as well as to perturbation expansions about ordered reference systems. Moreover, we draw attention to the variational content of the equilibrium ensemble formulation. A number of exact results are presented, among them general solutions for site-- and bond-- diluted systems in one dimension, both for uncorrelated, and for correlated disorder.

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