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The '''Potts model''' | The '''Potts model''' was proposed by Renfrey B. Potts in 1952 (Ref. 1). The Potts model is a generalisation of the [[Ising Models | Ising model]] to more than two components. For a general discussion on Potts models see Refs. 2 and 3. | ||
In practice one has a lattice system. The sites of the lattice can be occupied by | In practice one has a lattice system. The sites of the lattice can be occupied by | ||
particles of different ''species'', <math> S=1,2, \cdots, q </math>. | particles of different ''species'', <math> S=1,2, \cdots, q </math>. | ||
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where <math> K </math> is the coupling constant, <math> \langle ij \rangle </math> indicates | where <math> K </math> is the coupling constant, <math> \langle ij \rangle </math> indicates | ||
that the sum is performed exclusively over pairs of nearest neighbour sites, and <math> \delta(S_i,S_j) </math> is the [[Kronecker delta|Kronecker delta]]. | that the sum is performed exclusively over pairs of nearest neighbour sites, and <math> \delta(S_i,S_j) </math> is the [[Kronecker delta|Kronecker delta]]. | ||
Note that the particular case <math> q=2 </math> is equivalent to the [[Ising Models | Ising model]] | Note that the particular case <math> q=2 </math> is equivalent to the [[Ising Models | Ising model]] | ||
==See also== | ==See also== | ||
*[[Ashkin-Teller model]] | *[[Ashkin-Teller model]] | ||
*[[Kac model]] | *[[Kac model]] | ||
==References== | ==References== | ||
#Renfrey B. Potts "Some generalized order-disorder transformations", Proceedings of the Cambridge Philosophical Society '''48''' pp. 106−109 (1952) | |||
''' | #[http://dx.doi.org/10.1103/RevModPhys.54.235 F. Y. Wu "The Potts model", Reviews of Modern Physics '''54''' pp. 235-268 (1982)] | ||
#[http://dx.doi.org/10.1103/RevModPhys.55.315 F. Y. Wu "Erratum: The Potts model", Reviews of Modern Physics '''55''' p. 315 (1983)] | |||
[[category:models]] | [[category:models]] | ||