Monte Carlo without chains [electronic resource].

Published:: Berkeley, Calif. : Lawrence Berkeley National Laboratory, 2007.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Additional Creators:: Lawrence Berkeley National Laboratory and United States. Department of Energy. Office of Scientific and Technical Information

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Summary:

A sampling method for spin systems is presented. The spin lattice is written as the union of a nested sequence of sublattices, all but the last with conditionally independent spins, which are sampled in succession using their marginals. The marginals are computed concurrently by a fast algorithm; errors in the evaluation of the marginals are offset by weights. There are no Markov chains and each sample is independent of the previous ones; the cost of a sample is proportional to the number of spins (but the number of samples needed for good statistics may grow with array size). The examples include the Edwards-Anderson spin glass in three dimensions.

Report Numbers:

E 1.99:lbnl-1314e
lbnl-1314e

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Note:

Published through SciTech Connect.
12/12/2007.
"lbnl-1314e"
Communications in Applied Mathematics and Computational Science FT
Chorin, Alexandre J.
Computational Research Division

Funding Information:

DE-AC02-05CH11231

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