Two-Dimensional Critical Potts and its Tricritical Shadow

Details Two-Dimensional Critical Potts and its Tricritical Shadow Two-Dimensional Critical Potts and its Tricritical Shadow

2006-12-27

arxiv.org/abs/cond-mat/0612650v1

Braz. J. Phys. 36, 708 (2006)

Physics

Condensed Matter

Statistical Mechanics

10 pages,9 figures. Contribution to the IV Brazilian Meeting on Simulational Physics (Ouro Preto, Minas Gerais, Brazil, 9 - 12

Scientific paper

These notes give examples of how suitably defined geometrical objects encode in their fractal structure thermal critical behavior. The emphasis is on the two-dimensional Potts model for which two types of spin clusters can be defined. Whereas the Fortuin-Kasteleyn clusters describe the standard critical behavior, the geometrical clusters describe the tricritical behavior that arises when including vacant sites in the pure Potts model. Other phase transitions that allow for a geometrical description discussed in these notes include the superfluid phase transition and Bose-Einstein condensation.

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