The Hierarchical Random Energy Model

Details The Hierarchical Random Energy Model The Hierarchical Random Energy Model

2009-12-18

arxiv.org/abs/0912.3634v3

Phys. Rev. Lett. 104, 127206 (2010)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.104.127206

We introduce a Random Energy Model on a hierarchical lattice where the interaction strength between variables is a decreasing function of their mutual hierarchical distance, making it a non-mean field model. Through small coupling series expansion and a direct numerical solution of the model, we provide evidence for a spin glass condensation transition similar to the one occuring in the usual mean field Random Energy Model. At variance with mean field, the high temperature branch of the free-energy is non-analytic at the transition point.

Affiliated with

Also associated with

No associations

Rating

The Hierarchical Random Energy 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 The Hierarchical Random Energy Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Hierarchical Random Energy Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-349516