Origin of hyperdiffusion in generalized Brownian motion

Details Origin of hyperdiffusion in generalized Brownian motion Origin of hyperdiffusion in generalized Brownian motion

2010-08-06

arxiv.org/abs/1008.1187v2

Phys. Rev. Lett. 105, 100602 (2010)

Physics

Condensed Matter

Statistical Mechanics

Phys. Rev. Lett., in press

Scientific paper

We study a minimal non-Markovian model of superdiffusion which originates from long-range velocity correlations within the generalized Langevin equation (GLE) approach. The model allows for a three-dimensional Markovian embedding. The emergence of a transient hyperdiffusion, $< \Delta x^2(t)> \propto t^{2+\lambda}$, with $\lambda\sim 1-3$ is detected in tilted washboard potentials before it ends up in a ballistic asymptotic regime. We relate this phenomenon to a transient heating of particles $T_{\rm kin}(t)\propto t^\lambda$ from the thermal bath temperature $T$ to some maximal kinetic temperature $T_{\rm max}$. This hyperdiffusive transient regime ceases when the particles arrive at the maximal kinetic temperature.

Affiliated with

Also associated with

No associations

Rating

Origin of hyperdiffusion in generalized Brownian motion 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 Origin of hyperdiffusion in generalized Brownian motion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Origin of hyperdiffusion in generalized Brownian motion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-230988