Cauchy flights in confining potentials

Details Cauchy flights in confining potentials Cauchy flights in confining potentials

2009-07-05

arxiv.org/abs/0907.0867v2

Physica A 389, (2010), 936-944

Physics

Mathematical Physics

revised, title and abstract modified

Scientific paper

10.1016/jphysa.2009.11.021

We analyze confining mechanisms for L\'evy flights evolving under an influence of external potentials. Given a stationary probability density function (pdf), we address the reverse engineering problem: design a jump-type stochastic process whose target pdf (eventually asymptotic) equals the preselected one. To this end, dynamically distinct jump-type processes can be employed. We demonstrate that one "targeted stochasticity" scenario involves Langevin systems with a symmetric stable noise. Another derives from the L\'evy-Schr\"odinger semigroup dynamics (closely linked with topologically induced super-diffusions), which has no standard Langevin representation. For computational and visualization purposes, the Cauchy driver is employed to exemplify our considerations.

Affiliated with

Also associated with

No associations

Rating

Cauchy flights in confining potentials 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 Cauchy flights in confining potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cauchy flights in confining potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-187613