%0 Journal Article
%T Cluster derivation of Parisi's RSB solution for disordered systems
%A J. van Mourik
%A A. C. C. Coolen
%J Physics
%D 2000
%I arXiv
%R 10.1088/0305-4470/34/10/105
%X We propose a general scheme in which disordered systems are allowed to sacrifice energy equi-partitioning and separate into a hierarchy of ergodic sub-systems (clusters) with different characteristic time-scales and temperatures. The details of the break-up follow from the requirement of stationarity of the entropy of the slower cluster, at every level in the hierarchy. We apply our ideas to the Sherrington-Kirkpatrick model, and show how the Parisi solution can be {\it derived} quantitatively from plausible physical principles. Our approach gives new insight into the physics behind Parisi's solution and its relations with other theories, numerical experiments, and short range models.
%U http://arxiv.org/abs/cond-mat/0009151v1