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Overcoming strong metastabilities with the LLR method

Biagio Lucini Orcid Logo, William Fall, Kurt Langfeld

Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016), Volume: 256

Swansea University Author: Biagio Lucini Orcid Logo

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DOI (Published version): 10.22323/1.256.0275

Abstract

In previous work, it has been shown that the recently proposed LLR method is very efficient at overcoming strong metastabilities that arise near first-order phase transition points. Here we present a systematic study of the performance of the algorithm near (pseudo-)critical points for q-state Potts...

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Published in: Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)
Published: Trieste, Italy Sissa Medialab 2017
Online Access: http://dx.doi.org/10.22323/1.256.0275
URI: https://cronfa.swan.ac.uk/Record/cronfa50086
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Abstract: In previous work, it has been shown that the recently proposed LLR method is very efficient at overcoming strong metastabilities that arise near first-order phase transition points. Here we present a systematic study of the performance of the algorithm near (pseudo-)critical points for q-state Potts models with q as large as 20, in two and three dimensions. In particular, we shall focus our study on the ergodicity of the replica exchange step and the underlying physical mechanism. When compared with both analytical and numerical results present in the literature, our determinations of thermodynamic observables (including the order-disorder interface tension at criticality) show an impressive degree of relative accuracy (up to 2.5×10−6), which confirms the reliability and the efficiency of the proposed approach.
College: Faculty of Science and Engineering

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