Exact low-energy landscape and relaxation phenomena in ISING spin glasses
arXiv:cond-mat/9406023
Abstract
All ground states and low-lying excitations of a +/- I Ising spin glass model on a cubic 4 x 4 x 4 lattice with periodical boundary conditions were calculated using a method of combinatorical optimization. The structure of states in the phase space is enlightened by a representation by means of clusters in the configuration space and their connectivity. The relaxation behaviour of the system can be described by random walks in the high-dimensional phase space. Rewriting this task as an eigenvalue problem the influence of `entropic barriers' in comparison with an unstructured system can be studied, leading to a better understanding of the anomalous slow dynamic behaviour.
arXiv comment13 pages, Tex (C Version 3.141), KL-KO-94-01