Issue |
EPL
Volume 99, Number 5, September 2012
|
|
---|---|---|
Article Number | 50001 | |
Number of page(s) | 6 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/99/50001 | |
Published online | 05 September 2012 |
Modeling the mobility with memory
Department of Physics, Korea University - Seoul 136-713, Korea
(a) kgoh@korea.ac.kr
Received: 16 June 2012
Accepted: 6 August 2012
We study a random walk model in which the jumping probability to a site is dependent on the number of previous visits to the site, as a model of the mobility with memory. To this end we introduce two parameters called the memory parameter α and the impulse parameter p. From extensive numerical simulations, we found that various limited mobility patterns such as sub-diffusion, trapping, and logarithmic diffusion could be observed. Through memory, a long-ranged directional anticorrelation kinetically induces sub-diffusive and trapping behaviors, and transition between them. With random jumps by the impulse parameter, a trapped walker can escape from the trap very slowly, resulting in an ultraslow logarithmic diffusive behavior. Our results suggest that the memory of walker's has-beens can be one mechanism explaining many of the empirical characteristics of the mobility of animated objects.
PACS: 05.40.Fb – Random walks and Levy flights / 89.65.-s – Social and economic systems
© EPLA, 2012
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