Marginal States in Mean Field Glasses

Details Marginal States in Mean Field Glasses Marginal States in Mean Field Glasses

2006-07-24

arxiv.org/abs/cond-mat/0607613v1

Phys. Rev. B 74, 134431 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

27 pages, 8 figures

Scientific paper

10.1103/PhysRevB.74.134431

We study mean field systems whose free energy landscape is dominated by marginally stable states. We review and develop various techniques to describe such states, elucidating their physical meaning and the interrelation between them. In particular, we give a physical interpretation of the two-group replica symmetry breaking scheme and confirm it by establishing the relation to the cavity method and to the counting of solutions of the Thouless-Anderson-Palmer equations. We show how these methods all incorporate the presence of a soft mode in the free energy landscape and interpret the occurring order parameter functions in terms of correlations between the soft mode and the local magnetizations. The general formalism is applied to the prototypical case of the Sherrington-Kirkpatrick-model where we re-examine the physical properties of marginal states under a new perspective.

Affiliated with

Also associated with

No associations

Rating

Marginal States in Mean Field Glasses 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 Marginal States in Mean Field Glasses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Marginal States in Mean Field Glasses will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-585527