Density Profiles in Open Superdiffusive Systems

Details Density Profiles in Open Superdiffusive Systems Density Profiles in Open Superdiffusive Systems

2010-12-02

arxiv.org/abs/1012.0423v1

Phys. Rev. E 83, 030107(R) (2011)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We numerically solve a discretized model of Levy random walks on a finite one-dimensional domain in the presence of sources and with a reflection coefficient $r$. At the domain boundaries, the steady-state density profile is non-analytic. The meniscus exponent $\mu$, introduced to characterize this singular behavior, uniquely identifies the whole profile. Numerical data suggest that $\mu =\alpha/2 + r(\alpha/2-1)$, where $\alpha$ is the Levy exponent of the step-length distribution. As an application, we show that this model reproduces the temperature profiles obtained for a chain of oscillators displaying anomalous heat conduction. Remarkably, the case of free-boundary conditions in the chain correspond to a Levy walk with negative reflection coefficient.

Affiliated with

Also associated with

No associations

Rating

Density Profiles in Open Superdiffusive Systems 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 Density Profiles in Open Superdiffusive Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Density Profiles in Open Superdiffusive Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-603674