Optimized energy calculation in lattice systems with long-range interactions

Michael Krech, Erik Luijten

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We discuss an efficient approach to the calculation of the internal energy in numerical simulations of spin systems with long-range interactions. Although, since the introduction of the Luijten-Blöte algorithm, Monte Carlo simulations of these systems no longer pose a fundamental problem, the energy calculation is still an [Formula Presented] problem for systems of size N. We show how this can be reduced to an [Formula Presented] problem, with a break-even point that is already reached for very small systems. This allows the study of a variety of, until now hardly accessible, physical aspects of these systems. In particular, we combine the optimized energy calculation with histogram interpolation methods to investigate the specific heat of the Ising model and the first-order regime of the three-state Potts model with long-range interactions.

Original languageEnglish (US)
Pages (from-to)2058-2064
Number of pages7
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume61
Issue number2
DOIs
StatePublished - 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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