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Markov fields, correlated percolation, and the Ising model

Conference Lectures

Part of the Lecture Notes in Mathematics book series (LNM,volume 1035)

Abstract

We give an elementary introduction to the subject of correlated percolation. We illustrate it by diagrams and qualitative data for the Ising model on the square torus of order 100, which serves as a simple model for a binary alloy.

Keywords

  • Cluster Size
  • Large Cluster
  • Ising Model
  • Percolation Threshold
  • Vertex Versus

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© 1983 Springer-Verlag

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Hammersley, J.M., Mazzarino, G. (1983). Markov fields, correlated percolation, and the Ising model. In: Hughes, B.D., Ninham, B.W. (eds) The Mathematics and Physics of Disordered Media: Percolation, Random Walk, Modeling, and Simulation. Lecture Notes in Mathematics, vol 1035. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073261

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  • DOI: https://doi.org/10.1007/BFb0073261

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