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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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first_indexed 2019-04-26T13:38:00Z
last_indexed 2019-05-15T16:25:46Z
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spelling v2 50086 2019-04-25 Overcoming strong metastabilities with the LLR method 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2019-04-25 SMA 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. Conference Paper/Proceeding/Abstract Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016) 256 Sissa Medialab Trieste, Italy 31 1 2017 2017-01-31 10.22323/1.256.0275 http://dx.doi.org/10.22323/1.256.0275 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2023-05-22T14:10:29.9017191 2019-04-25T09:26:29.8359208 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Biagio Lucini 0000-0001-8974-8266 1 William Fall 2 Kurt Langfeld 3 0050086-15052019084303.pdf 50086.pdf 2019-05-15T08:43:03.1200000 Output 1419378 application/pdf Version of Record true 2019-05-14T00:00:00.0000000 Released under the terms of a Creative Commons Attribution-NonCommercial-NoDerivatives License (CC-BY-NC-ND). true eng
title Overcoming strong metastabilities with the LLR method
spellingShingle Overcoming strong metastabilities with the LLR method
Biagio Lucini
title_short Overcoming strong metastabilities with the LLR method
title_full Overcoming strong metastabilities with the LLR method
title_fullStr Overcoming strong metastabilities with the LLR method
title_full_unstemmed Overcoming strong metastabilities with the LLR method
title_sort Overcoming strong metastabilities with the LLR method
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 Biagio Lucini
William Fall
Kurt Langfeld
format Conference Paper/Proceeding/Abstract
container_title Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)
container_volume 256
publishDate 2017
institution Swansea University
doi_str_mv 10.22323/1.256.0275
publisher Sissa Medialab
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
url http://dx.doi.org/10.22323/1.256.0275
document_store_str 1
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description 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.
published_date 2017-01-31T14:10:28Z
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score 11.035634

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