The dynamic exponent of the Ising model on negatively curved surfaces

Details The dynamic exponent of the Ising model on negatively curved surfaces The dynamic exponent of the Ising model on negatively curved surfaces

2005-12-08

arxiv.org/abs/cond-mat/0512167v3

Physics

Condensed Matter

Statistical Mechanics

14 pages, 3 figures. to appear in J. Stat. Mech

Scientific paper

10.1088/1742-5468/2006/08/P08017

We investigate the dynamic critical exponent of the two-dimensional Ising model defined on a curved surface with constant negative curvature. By using the short-time relaxation method, we find a quantitative alteration of the dynamic exponent from the known value for the planar Ising model. This phenomenon is attributed to the fact that the Ising lattices embedded on negatively curved surfaces act as ones in infinite dimensions, thus yielding the dynamic exponent deduced from mean field theory. We further demonstrate that the static critical exponent for the correlation length exhibits the mean field exponent, which agrees with the existing results obtained from canonical Monte Carlo simulations.

Affiliated with

Also associated with

No associations

Rating

The dynamic exponent of the Ising model on negatively curved surfaces 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 The dynamic exponent of the Ising model on negatively curved surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The dynamic exponent of the Ising model on negatively curved surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-442778