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

被引:53
作者
Desposito, M. A. [1 ,2 ]
Vinales, A. D. [1 ]
机构
[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Fis, RA-1428 Buenos Aires, DF, Argentina
[2] Consejo Nacl Invest Cient & Tecn, Buenos Aires, DF, Argentina
来源
PHYSICAL REVIEW E | 2009年 / 80卷 / 02期
关键词
diffusion; stochastic processes; viscoelasticity; SINGLE-PARTICLE TRACKING; ANOMALOUS DIFFUSION; MICRORHEOLOGY; DYNAMICS; MOTION;
D O I
10.1103/PhysRevE.80.021111
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A theoretical framework for analyzing stochastic data from single-particle tracking in viscoelastic materials and under the influence of a trapping potential is presented. Starting from a generalized Langevin equation, we found analytical expressions for the two-time dynamics of a particle subjected to a harmonic potential. 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. Using a power-law memory kernel, exact expressions for the mean-square displacement and the velocity autocorrelation function are obtained in terms of Mittag-Leffler functions and their derivatives. The behaviors for short-, intermediate-, and long-time lags are investigated in terms of the involved parameters. Finally, the validity of usual approximations is examined.
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页数:7
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