Two-dimensional critical Potts and its tricritical shadow
AUTOR(ES)
Janke, Wolfhard, Schakel, Adriaan M. J.
FONTE
Brazilian Journal of Physics
DATA DE PUBLICAÇÃO
2006-09
RESUMO
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.
