Random cluster model

In statistical mechanics, probability theory, graph theory, etc. the random cluster model is a random graph that generalizes and unifies the Ising model, Potts model, and percolation model. It is used to study random combinatorial structures, electrical networks, etc.[1][2] It is also referred to as the RC model or sometimes the FK representation after its founders Cees Fortuin and Piet Kasteleyn.[3] The random cluster model has a critical limit, described by a conformal field theory.

  1. ^ Fortuin; Kasteleyn (1972). "On the random-cluster model: I. Introduction and relation to other models". Physica. 57 (4): 536. Bibcode:1972Phy....57..536F. doi:10.1016/0031-8914(72)90045-6.
  2. ^ Grimmett (2002). "Random cluster models". arXiv:math/0205237.
  3. ^ Newman, Charles M. (1994), Grimmett, Geoffrey (ed.), "Disordered Ising Systems and Random Cluster Representations", Probability and Phase Transition, NATO ASI Series, Dordrecht: Springer Netherlands, pp. 247–260, doi:10.1007/978-94-015-8326-8_15, ISBN 978-94-015-8326-8, retrieved 2021-04-18