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Multipath Metropolis simulation: An application to the classical Heisenberg model

Author

Listed:
  • Rakić, Predrag S.
  • Radošević, Slobodan M.
  • Mali, Petar M.
  • Stričević, Lazar M.
  • Petrić, Tara D.

Abstract

This study explores the Multipath Metropolis simulation of the classical Heisenberg model. Unlike the standard single-path algorithm, the Metropolis algorithm applied to multiple random-walk paths becomes an embarrassingly parallel algorithm in which many processor cores can be easily utilized. This is important since processor cores are progressively becoming less expensive and thus more accessible. The most obvious advantage of the multipath approach is in employing independent random-walk paths to produce an uncorrelated simulation output with a normal distribution allowing for straightforward and rigorous statistical analysis.

Suggested Citation

  • Rakić, Predrag S. & Radošević, Slobodan M. & Mali, Petar M. & Stričević, Lazar M. & Petrić, Tara D., 2016. "Multipath Metropolis simulation: An application to the classical Heisenberg model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 441(C), pages 69-80.
    • Handle: RePEc:eee:phsmap:v:441:y:2016:i:c:p:69-80
    DOI: 10.1016/j.physa.2015.08.038
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    References listed on IDEAS

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    1. Naji, S. & Benyoussef, A. & El Kenz, A. & Ez-Zahraouy, H. & Loulidi, M., 2012. "Monte Carlo study of phase transitions and magnetic properties of LaMnO3: Heisenberg model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 3885-3894.
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