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Application of the Monte Carlo method for evaluating the Niemeijer-van Leeuwen cumulant expansion

Abstract

We show that the large cell size problem of the real space renormalization can be handled effectively by Monte Carlo methods. As a demonstration, the second-order cumulant expansion is calculated for the three-dimensional simple cubic Ising model, using a 3 × 3 × 3 cell.

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Rácz, Z., Ruján, P. Application of the Monte Carlo method for evaluating the Niemeijer-van Leeuwen cumulant expansion. Z Physik B 28, 287–290 (1977). https://doi.org/10.1007/BF01317255

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  • DOI: https://doi.org/10.1007/BF01317255

Keywords

  • Spectroscopy
  • Neural Network
  • State Physics
  • Complex System
  • Monte Carlo Method