Exploring optimization for the random-field Ising model

Details Exploring optimization for the random-field Ising model Exploring optimization for the random-field Ising model

2005-01-12

arxiv.org/abs/cond-mat/0501269v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages

Scientific paper

The push-relabel algorithm can be used to calculate rapidly the exact ground states for a given sample with a random-field Ising model (RFIM) Hamiltonian. Although the algorithm is guaranteed to terminate after a time polynomial in the number of spins, implementation details are important for practical performance. Empirical results for the timing in dimensions d=1,2, and 3 are used to determine the fastest among several implementations. Direct visualization of the auxiliary fields used by the algorithm provides insight into its operation and suggests how to optimize the algorithm. Recommendations are given for further study of the RFIM.

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