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

Autor:	Despósito, M. A., Viñales, A. D.
Rok vydání:	2009
Předmět:	Condensed Matter - Statistical Mechanics
Zdroj:	Physical Review E 80, 021111 (2009)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.80.021111
Popis:	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. Comment: 7 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0902.2786 Zobrazit plný text záznamu View this record from Arxiv