First Passage Distributions in a Collective Model of Anomalous Diffusion with Tunable Exponent

Details First Passage Distributions in a Collective Model of Anomalous Diffusion with Tunable Exponent First Passage Distributions in a Collective Model of Anomalous Diffusion with Tunable Exponent

2009-10-07

arxiv.org/abs/0910.1174v2

Phys. Rev. E 81, 011107 (2010)

Physics

Condensed Matter

Statistical Mechanics

LaTeX, 10 pages, 8 eps figures

Scientific paper

10.1103/PhysRevE.81.011107

We consider a model system in which anomalous diffusion is generated by superposition of underlying linear modes with a broad range of relaxation times. In the language of Gaussian polymers, our model corresponds to Rouse (Fourier) modes whose friction coefficients scale as wavenumber to the power $2-z$. A single (tagged) monomer then executes subdiffusion over a broad range of time scales, and its mean square displacement increases as $t^\alpha$ with $\alpha=1/z$. To demonstrate non-trivial aspects of the model, we numerically study the absorption of the tagged particle in one dimension near an absorbing boundary or in the interval between two such boundaries. We obtain absorption probability densities as a function of time, as well as the position-dependent distribution for unabsorbed particles, at several values of $\alpha$. Each of these properties has features characterized by exponents that depend on $\alpha$. Characteristic distributions found for different values of $\alpha$ have similar qualitative features, but are not simply related quantitatively. Comparison of the motion of translocation coordinate of a polymer moving through a pore in a membrane with the diffusing tagged monomer with identical $\alpha$ also reveals quantitative differences.

Affiliated with

Also associated with

No associations

Rating

First Passage Distributions in a Collective Model of Anomalous Diffusion with Tunable Exponent 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 First Passage Distributions in a Collective Model of Anomalous Diffusion with Tunable Exponent, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and First Passage Distributions in a Collective Model of Anomalous Diffusion with Tunable Exponent will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-35721