Nonflat histogram techniques for spin glasses.

Phys Rev E

Institut für Theoretische Physik, Universität Leipzig, IPF 231101, 04081 Leipzig, Germany.

Published: November 2020

We study the bimodal Edwards-Anderson spin glass comparing established methods, namely the multicanonical method, the 1/k ensemble, and parallel tempering, to an approach where the ensemble is modified by simulating power-law-shaped histograms in energy instead of flat histograms as in the standard multicanonical case. We show that by this modification a significant speed-up in terms of mean round-trip times can be achieved for all lattice sizes taken into consideration.

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http://dx.doi.org/10.1103/PhysRevE.102.053303DOI Listing

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