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Exploring first-order phase transitions with population annealing

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Abstract

Population annealing is a hybrid of sequential and Markov chain Monte Carlo methods geared towards the efficient parallel simulation of systems with complex free-energy landscapes. Systems with first-order phase transitions are among the problems in computational physics that are difficult to tackle with standard methods such as local-update simulations in the canonical ensemble, for example with the Metropolis algorithm. It is hence interesting to see whether such transitions can be more easily studied using population annealing. We report here our preliminary observations from population annealing runs for the two-dimensional Potts model with q > 4, where it undergoes a first-order transition.

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Author information

Authors and Affiliations

  1. Science Center in Chernogolovka, 142432, Chernogolovka, Russia

    Lev Yu. Barash & Lev N. Shchur

  2. Landau Institute for Theoretical Physics, 142432, Chernogolovka, Russia

    Lev Yu. Barash & Lev N. Shchur

  3. Applied Mathematics Research Centre, Coventry University, Coventry, CV1 5FB, UK

    Martin Weigel

  4. National Research University Higher School of Economics, 101000, Moscow, Russia

    Lev N. Shchur

  5. Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, D-04009, Leipzig, Germany

    Wolfhard Janke

Authors
  1. Lev Yu. Barash
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  2. Martin Weigel
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  3. Lev N. Shchur
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  4. Wolfhard Janke
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Corresponding author

Correspondence to Martin Weigel.

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Barash, L.Y., Weigel, M., Shchur, L.N. et al. Exploring first-order phase transitions with population annealing. Eur. Phys. J. Spec. Top. 226, 595–604 (2017). https://doi.org/10.1140/epjst/e2016-60389-4

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  • DOI: https://doi.org/10.1140/epjst/e2016-60389-4

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