Pre-freezing of multifractal exponents in Random Energy Models with logarithmically correlated potential

Details Pre-freezing of multifractal exponents in Random Energy Models with logarithmically correlated potential Pre-freezing of multifractal exponents in Random Energy Models with logarithmically correlated potential

2009-03-13

arxiv.org/abs/0903.2502v2

J. Stat. Mech. (2009) P07022

Physics

Condensed Matter

Disordered Systems and Neural Networks

This is published version, 11 pages, 1 figure

Scientific paper

Boltzmann-Gibbs measures generated by logarithmically correlated random potentials are multifractal. We investigate the abrupt change ("pre-freezing") of multifractality exponents extracted from the averaged moments of the measure - the so-called inverse participation ratios. The pre-freezing can be identified with termination of the disorder-averaged multifractality spectrum. Naive replica limit employed to study a one-dimensional variant of the model is shown to break down at the pre-freezing point. Further insights are possible when employing zero-dimensional and infinite-dimensional versions of the problem. In particular, the latter version allows one to identify the pattern of the replica symmetry breaking responsible for the pre-freezing phenomenon.

Affiliated with

Also associated with

No associations

Rating

Pre-freezing of multifractal exponents in Random Energy Models with logarithmically correlated potential 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 Pre-freezing of multifractal exponents in Random Energy Models with logarithmically correlated potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pre-freezing of multifractal exponents in Random Energy Models with logarithmically correlated potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-235751