Local state space geometry and thermal metastability in complex landscapes: the spin-glass case

Details Local state space geometry and thermal metastability in complex landscapes: the spin-glass case Local state space geometry and thermal metastability in complex landscapes: the spin-glass case

1997-06-23

arxiv.org/abs/cond-mat/9706232v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

16 pages, 8 figures, RevTeX, to appear in Physica A The figures have been improved and the text somewhat shortened. New refere

Scientific paper

A simple geometrical characterization of configuration space neighborhoods of local energy minima in spin glass landscapes is found by exhaustive search. Combined with previous Monte Carlo investigations of thermal domain growth, it allows a discussion of the connection between real and configuration space descriptions of low temperature relaxational dynamics. We argue that the part of state-space corresponding to a single growing domain is adequately modeled by a hierarchically organized set of states and that thermal (meta)stability in spin glasses is related to the nearly exponential local density of states present within each trap.

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