Universality and extremal aging for dynamics of spin glasses on sub-exponential time scales

Details Universality and extremal aging for dynamics of spin glasses on sub-exponential time scales Universality and extremal aging for dynamics of spin glasses on sub-exponential time scales

2010-10-25

arxiv.org/abs/1010.5190v1

Mathematics

Probability

Scientific paper

We consider Random Hopping Time (RHT) dynamics of the Sherrington - Kirkpatrick (SK) model and p-spin models of spin glasses. For any of these models and for any inverse temperature we prove that, on time scales that are sub-exponential in the dimension, the properly scaled clock process (time-change process) of the dynamics converges to an extremal process. Moreover, on these time scales, the system exhibits aging like behavior which we called extremal aging. In other words, the dynamics of these models ages as the random energy model (REM) does. Hence, by extension, this confirms Bouchaud's REM-like trap model as a universal aging mechanism for a wide range of systems which, for the first time, includes the SK model.

Affiliated with

Also associated with

No associations

Rating

Universality and extremal aging for dynamics of spin glasses on sub-exponential time scales 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 Universality and extremal aging for dynamics of spin glasses on sub-exponential time scales, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universality and extremal aging for dynamics of spin glasses on sub-exponential time scales will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-94443