Numerical study of the transition of the four dimensional Random Field Ising Model

Details Numerical study of the transition of the four dimensional Random Field Ising Model Numerical study of the transition of the four dimensional Random Field Ising Model

1997-08-07

arxiv.org/abs/cond-mat/9708058v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 2 figures, Latex

Scientific paper

10.1088/0305-4470/31/16/005

We study numerically the region above the critical temperature of the four dimensional Random Field Ising Model. Using a cluster dynamic we measure the connected and disconnected magnetic susceptibility and the connected and disconnected overlap susceptibility. We use a bimodal distribution of the field with $ h_R=0.35T $ for all temperatures and a lattice size L=16. Through a least-square fit we determine the critical exponents $ \gamma $ and $ \bar{\gamma} $. We find the magnetic susceptibility and the overlap susceptibility diverge at two different temperatures. This is coherent with the existence of a glassy phase above $ T_c $. Accordingly with other simulations we find $ \bar{\gamma}=2\gamma $. In this case we have a scaling theory with two indipendet critical exponents

Affiliated with

Also associated with

No associations

Rating

Numerical study of the transition of the four dimensional Random Field Ising Model 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 Numerical study of the transition of the four dimensional Random Field Ising Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical study of the transition of the four dimensional Random Field Ising Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-452073