Duality and Fisher zeros in the 2D Potts model on square lattice

Details Duality and Fisher zeros in the 2D Potts model on square lattice Duality and Fisher zeros in the 2D Potts model on square lattice

2009-01-18

arxiv.org/abs/0901.2711v4

Physics

Condensed Matter

Statistical Mechanics

16 pages, 2 figures; Title changed; The main text has been clarified; Some technical points have been analyzed in more details

Scientific paper

A phenomenological approach to the ferromagnetic two dimensional Potts model on square lattice is proposed. Our goal is to present a simple functional form that obeys the known properties possessed by the free energy of the q-state Potts model. The duality symmetry of the 2D Potts model together with the known results on its critical exponent {\alpha} allow to fix consistently the details of the proposed expression for the free energy. The agreement of the analytic ansatz with numerical data in the q=3 case is very good at high and low temperatures as well as at the critical point. It is shown that the q>4 cases naturally fit into the same scheme and that one should also expect a good agreement with numerical data. The limiting q=4 case is shortly discussed.

Affiliated with

Also associated with

No associations

Rating

Duality and Fisher zeros in the 2D Potts model on square lattice 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 Duality and Fisher zeros in the 2D Potts model on square lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Duality and Fisher zeros in the 2D Potts model on square lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-702205