Monte Carlo renormalization-group analysis of percolation

Albert Brown, Alexander Edelman, Jason Rocks, Antonio Coniglio, and Robert H. Swendsen
Phys. Rev. E 88, 043307 – Published 22 October 2013

Abstract

We describe a Monte Carlo renormalization group approach to the calculation of critical behavior for percolation models. This approach can be utilized to determine the renormalized bond probabilities and the values of the critical exponents. We illustrate the method for two-dimensional bond percolation, but the method is also applicable to other percolation models and other dimensions.

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  • Received 28 June 2013

DOI:https://doi.org/10.1103/PhysRevE.88.043307

©2013 American Physical Society

Authors & Affiliations

Albert Brown1, Alexander Edelman2, Jason Rocks1, Antonio Coniglio3,4,5, and Robert H. Swendsen1

  • 1Physics Department, Carnegie Mellon University, Pittsburgh, Pennsylvania 15217, USA
  • 2Department of Physics, University of Chicago, Chicago, Illinois 60637, USA
  • 3Dipartimento di Fisica, Universitá di Napoli “Federico II,” 80126 Napoli, Italy
  • 4INFN, Sezione di Napoli I-80126, Napoli, Italy
  • 5CNR-SPIN, Napoli I-80126, Napoli, Italy

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Issue

Vol. 88, Iss. 4 — October 2013

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