Entropic aging and extreme value statistics

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

8 pages, to appear in J. Phys. A

Scientific paper

10.1088/1751-8113/43/34/345002

Entropic aging consists in a progressive slowing down of the low-temperature dynamics of a glassy system due to the rarefaction of downwards directions on the energy landscape, as lower and lower energy levels are reached. A prototypical model exhibiting this scenario is the Barrat-M\'ezard model. We argue that in the zero-temperature limit, this model precisely corresponds to a dynamical realization of extreme value statistics, providing an interesting connection between the two fields. This mapping directly yields the long-time asymptotic shape of the dynamical energy distribution, which is then one of the standard extreme value distributions (Gumbel, Weibull or Fr\'echet), thus restricting the class of asymptotic energy distributions with respect to the original preasymptotic results. We also briefly discuss similarities and differences between the Barrat-M\'ezard model and undriven dissipative systems like granular gases.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Entropic aging and extreme value statistics 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 Entropic aging and extreme value statistics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entropic aging and extreme value statistics will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-221530

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.