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The Potts model

Reviews of Modern Physics · 1982 · Vol. 54(1) · pp. 235–268

F. Y. Wu✉(Forschungszentrum Jülich)

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Abstract

This is a tutorial review on the Potts model aimed at bringing out in an organized fashion the essential and important properties of the standard Potts model. Emphasis is placed on exact and rigorous results, but other aspects of the problem are also described to achieve a unified perspective. Topics reviewed include the mean-field theory, duality relations, series expansions, critical properties, experimental realizations, and the relationship of the Potts model with other lattice-statistical problems.

Theoretical and Computational Physics Statistical Mechanics and Entropy Quantum many-body systemsPotts modelChiral Potts curvePhysicsStatistical physicsDuality (order theory)Lattice (music)Perspective (graphical)Theoretical physicsSeries (stratigraphy)Ising model

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3,482

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42.72

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References

226

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References

Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

Physical Review · 1944 · 6,364 citations

Critical Points in Multicomponent Systems

Physical review. A, General physics · 1970 · 813 citations

Hard hexagons: exact solution

Journal of Physics A Mathematical and General · 1980 · 535 citations

A relation between the temperature exponents of the eight-vertex and q-state Potts model

Journal of Physics A Mathematical and General · 1979 · 524 citations

Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1971 · 1,010 citations

Ising Model for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi></mml:math>Transition and Phase Separation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Mixtures

Physical review. A, General physics · 1971 · 1,501 citations

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