Simulations of Ground State Fluctuations in Mean-Field Ising Spin Glasses

Details Simulations of Ground State Fluctuations in Mean-Field Ising Spin Glasses Simulations of Ground State Fluctuations in Mean-Field Ising Spin Glasses

2009-06-06

arxiv.org/abs/0906.1292v2

J. Stat. Mech. (2010) P07002

Physics

Condensed Matter

Disordered Systems and Neural Networks

Much extended version, comparing fluctuations for SK and five other models. Now 20 RevTex-pages, 10 tables, 27 figures

Scientific paper

10.1088/1742-5468/2010/07/P07002

The scaling of fluctuations in the distribution of ground-state energies or costs with the system size N for Ising spin glasses is considered using an extensive set of simulations with the Extremal Optimization heuristic across a range of different models on sparse and dense graphs. These models exhibit very diverse behaviors, and an asymptotic extrapolation is often complicated by higher-order corrections. The clearest picture, in fact, emerges from the study of graph-bipartitioning, a combinatorial optimization problem closely related to spin glasses. Aside from two-spin interactions with discrete bonds, we also consider problems with Gaussian bonds and three-spin interactions, which behave differently to a significant degree.

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