Phase Transition in Potts Model with Invisible States

Details Phase Transition in Potts Model with Invisible States Phase Transition in Potts Model with Invisible States

2010-05-10

arxiv.org/abs/1005.1523v2

Prog. Theor. Phys. 124, 381 (2010)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 4 figures

Scientific paper

10.1143/PTP.124.381

We study phase transition in the ferromagnetic Potts model with invisible states that are added as redundant states by mean-field calculation and Monte Carlo simulation. Invisible states affect the entropy and the free energy, although they do not contribute to the internal energy. The internal energy and the number of degenerated ground states do not change, if invisible states are introduced into the standard Potts model. A second-order phase transition takes place at finite temperature in the standard $q$-state ferromagnetic Potts model on two-dimensional lattice for $q=2,3$, and 4. However, our present model on two-dimensional lattice undergoes a first-order phase transition with spontaneous $q$-fold symmetry breaking ($q=2,3$, and 4) due to entropy effect of invisible states. We believe that our present model is a fundamental model for analysis of a first-order phase transition with spontaneous discrete symmetry breaking.

Affiliated with

Also associated with

No associations

Rating

Phase Transition in Potts Model with Invisible States 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 Phase Transition in Potts Model with Invisible States, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase Transition in Potts Model with Invisible States will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-627730