Novel scaling behavior of the Ising model on curved surfaces

Details Novel scaling behavior of the Ising model on curved surfaces Novel scaling behavior of the Ising model on curved surfaces

2006-12-20

arxiv.org/abs/cond-mat/0612509v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages 5 figures

Scientific paper

10.1016/j.susc.2007.04.207

We demonstrate the nontrivial scaling behavior of Ising models defined on (i) a donut-shaped surface and (ii) a curved surface with a constant negative curvature. By performing Monte Carlo simulations, we find that the former model has two distinct critical temperatures at which both the specific heat $C(T)$ and magnetic susceptibility $\chi(T)$ show sharp peaks.The critical exponents associated with the two critical temperatures are evaluated by the finite-size scaling analysis; the result reveals that the values of these exponents vary depending on the temperature range under consideration. In the case of the latter model, it is found that static and dynamic critical exponents deviate from those of the Ising model on a flat plane; this is a direct consequence of the constant negative curvature of the underlying surface.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-241648