Levy Diffusion and Classes of Universal Parametric Correlations

Details Levy Diffusion and Classes of Universal Parametric Correlations Levy Diffusion and Classes of Universal Parametric Correlations

1995-04-11

arxiv.org/abs/chao-dyn/9504007v1

Physics

Condensed Matter

4 pages, uuencoded and compressed postscript

Scientific paper

10.1103/PhysRevE.53.2283

A general formulation of translationally invariant, parametrically correlated random matrix ensembles, is used to classify universality in correlation functions. Surprisingly, the range of possible physical systems is bounded, and can be labeled by a parameter $\alpha\in (0,2]$, in a manner analogous to L\'evy diffusion. Universality is obtained after scaling by the (anomalous) diffusion constant $D_\alpha$ (the usual scaling is divergent for $\alpha<2$). For each $\alpha$, correlation functions are universal, and distinct. The previous results in the literature correspond to the limiting case of superdiffusion, $\alpha=2$.

Affiliated with

Also associated with

No associations

Rating

Levy Diffusion and Classes of Universal Parametric Correlations 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 Levy Diffusion and Classes of Universal Parametric Correlations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Levy Diffusion and Classes of Universal Parametric Correlations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-490009