Cluster Percolation and First Order Phase Transitions in the Potts Model

Details Cluster Percolation and First Order Phase Transitions in the Potts Model Cluster Percolation and First Order Phase Transitions in the Potts Model

2001-08-06

arxiv.org/abs/hep-ph/0108058v1

Nucl.Phys. B623 (2002) 493-502

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 6 figures

Scientific paper

10.1016/S0550-3213(01)00604-6

The q-state Potts model can be formulated in geometric terms, with Fortuin-Kasteleyn (FK) clusters as fundamental objects. If the phase transition of the model is second order, it can be equivalently described as a percolation transition of FK clusters. In this work, we study the percolation structure when the model undergoes a first order phase transition. In particular, we investigate numerically the percolation behaviour along the line of first order phase transitions of the 3d 3-state Potts model in an external field and find that the percolation strength exhibits a discontinuity along the entire line. The endpoint is also a percolation point for the FK clusters, but the corresponding critical exponents are neither in the Ising nor in the random percolation universality class.

Affiliated with

Also associated with

No associations

Rating

Cluster Percolation and First Order Phase Transitions in the Potts Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cluster Percolation and First Order Phase Transitions in the Potts Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cluster Percolation and First Order Phase Transitions in the Potts Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-270789