Reexamination of the long-range Potts model: a multicanonical approach

Details Reexamination of the long-range Potts model: a multicanonical approach Reexamination of the long-range Potts model: a multicanonical approach

2003-06-19

arxiv.org/abs/cond-mat/0306493v5

Physical Review E 69 (2004) 026109

Physics

Condensed Matter

Statistical Mechanics

18 pages, 18 figures

Scientific paper

10.1103/PhysRevE.69.026109

We investigate the critical behavior of the one-dimensional q-state Potts model with long-range (LR) interaction $1/r^{d+\sigma}$, using a multicanonical algorithm. The recursion scheme initially proposed by Berg is improved so as to make it suitable for a large class of LR models with unequally spaced energy levels. The choice of an efficient predictor and a reliable convergence criterion is discussed. We obtain transition temperatures in the first-order regime which are in far better agreement with mean-field predictions than in previous Monte Carlo studies. By relying on the location of spinodal points and resorting to scaling arguments, we determine the threshold value $\sigma_c(q)$ separating the first- and second-order regimes to two-digit precision within the range $3 \leq q \leq 9$. We offer convincing numerical evidence supporting $\sigma_c(q)

Affiliated with

Also associated with

No associations

Rating

Reexamination of the long-range Potts model: a multicanonical approach 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 Reexamination of the long-range Potts model: a multicanonical approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reexamination of the long-range Potts model: a multicanonical approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-401856