Subdiffusive behavior in a trapping potential: mean square displacement and velocity autocorrelation function

Details Subdiffusive behavior in a trapping potential: mean square displacement and velocity autocorrelation function Subdiffusive behavior in a trapping potential: mean square displacement and velocity autocorrelation function

2009-02-16

arxiv.org/abs/0902.2786v1

Physical Review E 80, 021111 (2009)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 4 figures

Scientific paper

10.1103/PhysRevE.80.021111

A theoretical framework for analyzing stochastic data from single-particle tracking in complex or viscoelastic materials and under the influence of a trapping potential is presented. Starting from a generalized Langevin equation we found explicit expressions for the two-time dynamics of the tracer particle. The mean square displacement and the velocity autocorrelation function of the diffusing particle are given in terms of the time lag. In particular, we investigate the subdiffusive case. The exact solutions are discussed and the validity of usual approximations are examined.

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