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Exact low-energy landscape and relaxation phenomena in ISING spin glasses

1994/06/01 by T. Klotz, Tilla Klotz, Klotz, T. +2 · 1 citation
Physics and Astronomy · #Complex Network Analysis Techniques #Condensed Matter (cond-mat) #FOS: Physical sciences #Opinion Dynamics and Social Influence #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9406023

13 pages, Tex (C Version 3.141), KL-KO-94-01

arxiv created 1994/06/01 · openalex publication_date 1994/06/01 · arxiv updated 2016/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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