Asymptotic behavior of self-affine processes in semi-infinite domains

Details Asymptotic behavior of self-affine processes in semi-infinite domains Asymptotic behavior of self-affine processes in semi-infinite domains

2008-11-12

arxiv.org/abs/0811.1951v3

Phys. Rev. Lett. 102, 120602 (2009)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures; to be published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.102.120602

We propose to model the stochastic dynamics of a polymer passing through a pore (translocation) by means of a fractional Brownian motion, and study its behavior in presence of an absorbing boundary. Based on scaling arguments and numerical simulations, we present a conjecture that provides a link between the persistence exponent $\theta$ and the Hurst exponent $H$ of the process, thus sheding light on the spatial and temporal features of translocation. Furthermore, we show that this conjecture applies more generally to a broad class of self affine processes undergoing anomalous diffusion in bounded domains, and we discuss some significant examples.

Affiliated with

Also associated with

No associations

Rating

Asymptotic behavior of self-affine processes in semi-infinite domains 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 Asymptotic behavior of self-affine processes in semi-infinite domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic behavior of self-affine processes in semi-infinite domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-101387