期刊
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
卷 -, 期 -, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1742-5468/2010/07/P07002
关键词
spin glasses (theory); fluctuations (theory); heuristics
资金
- Fulbright Kommission
- US National Science Foundation [DMR-0812204]
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [0812204] Funding Source: National Science Foundation
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 in size. The clearest picture, in fact, emerges from the study of graph bipartitioning, a combinatorial optimization problem closely related to spin glasses. Asides from two-spin interactions with discrete bonds, we also consider problems with Gaussian bonds and three-spin interactions, which behave quite differently.
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