Modeling Single-File Diffusion by Step Fractional Brownian Motion and Generalized Fractional Langevin Equation

Details Modeling Single-File Diffusion by Step Fractional Brownian Motion and Generalized Fractional Langevin Equation Modeling Single-File Diffusion by Step Fractional Brownian Motion and Generalized Fractional Langevin Equation

2009-05-04

arxiv.org/abs/0905.0303v1

J. Stat. Mech. 0908 (2009), P08015

Physics

Condensed Matter

Statistical Mechanics

12 pages, 7 figures

Scientific paper

Single-file diffusion behaves as normal diffusion at small time and as anomalous subdiffusion at large time. These properties can be described by fractional Brownian motion with variable Hurst exponent or multifractional Brownian motion. We introduce a new stochastic process called Riemann-Liouville step fractional Brownian motion which can be regarded as a special case of multifractional Brownian motion with step function type of Hurst exponent tailored for single-file diffusion. Such a step fractional Brownian motion can be obtained as solution of fractional Langevin equation with zero damping. Various types of fractional Langevin equations and their generalizations are then considered to decide whether their solutions provide the correct description of the long and short time behaviors of single-file diffusion. The cases where dissipative memory kernel is a Dirac delta function, a power-law function, and a combination of both of these functions, are studied in detail. In addition to the case where the short time behavior of single-file diffusion behaves as normal diffusion, we also consider the possibility of the process that begins as ballistic motion.

Affiliated with

Also associated with

No associations

Rating

Modeling Single-File Diffusion by Step Fractional Brownian Motion and Generalized Fractional Langevin Equation 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 Modeling Single-File Diffusion by Step Fractional Brownian Motion and Generalized Fractional Langevin Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modeling Single-File Diffusion by Step Fractional Brownian Motion and Generalized Fractional Langevin Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-198971