A motivic approach to phase transitions in Potts models

Details A motivic approach to phase transitions in Potts models A motivic approach to phase transitions in Potts models

2011-02-17

arxiv.org/abs/1102.3462v1

Physics

Mathematical Physics

33 pages, LaTeX, 4 PDF figures

Scientific paper

We describe an approach to the study of phase transitions in Potts models based on an estimate of the complexity of the locus of real zeros of the partition function, computed in terms of the classes in the Grothendieck ring of the affine algebraic varieties defined by the vanishing of the multivariate Tutte polynomial. We give completely explicit calculations for the examples of the chains of linked polygons and of the graphs obtained by replacing the polygons with their dual graphs. These are based on a deletion-contraction formula for the Grothendieck classes and on generating functions for splitting and doubling edges.

Affiliated with

Also associated with

No associations

Rating

A motivic approach to phase transitions in Potts models 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 A motivic approach to phase transitions in Potts models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A motivic approach to phase transitions in Potts models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-379881