A projected entropy controller for transition matrix calculations

David Yevick ()
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David Yevick: University of Waterloo

The European Physical Journal B: Condensed Matter and Complex Systems, 2018, vol. 91, issue 10, 1-7

Abstract: Abstract We define the projected entropy S(T) at a given temperature T in the context of an Ising model transition matrix calculation as the entropy associated with the distribution of Markov-chain realizations in energy-magnetization, E–H, space. An even sampling of states is achieved by accumulating the results from multiple Markov chains while decrementing 1∕T at a rate proportional to the inverse of the effective number, exp(S(T)), of accessible projected states. Such a procedure is both highly accurate and far simpler to implement than a previously suggested method based on monitoring the evolution of the E–H distribution at each temperature [D. Yevick, Y.-H. Lee, Eur. Phys. J. B 90, 81 (2017)]. We further demonstrate a transition matrix procedure that instead ensures uniform sampling in physical entropy.

Keywords: Computational; Methods (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/e2018-90171-0

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