Survival of short-range order in the Ising model on negatively curved surfaces

Details Survival of short-range order in the Ising model on negatively curved surfaces Survival of short-range order in the Ising model on negatively curved surfaces

2009-06-30

arxiv.org/abs/0906.5523v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 6 figures

Scientific paper

We examine the ordering behavior of the ferromagnetic Ising lattice model defined on a surface with a constant negative curvature. Small-sized ferromagnetic domains are observed to exist at temperatures far greater than the critical temperature, at which the inner core region of the lattice undergoes a mean-field phase transition. The survival of short-range order at such high temperatures can be attributed to strong boundary-spin contributions to the ordering mechanism, as a result of which boundary effects remain active even within the thermodynamic limit. Our results are consistent with the previous finding of disorder-free Griffiths phase that is stable at temperatures lower than the mean-field critical temperature.

Affiliated with

Also associated with

No associations

Rating

Survival of short-range order in 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 Survival of short-range order in 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 Survival of short-range order in the Ising model on negatively curved surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-440976