Modeling the mobility with memory

Jeehye Choi, Jang Il Sohn, Kwang-Il Goh, I. M. Kim

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number50001
JournalEPL
Volume99
Issue number5
DOIs
Publication statusPublished - 2012 Sep 1

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impulses
trapping
random walk
escape
traps
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Choi, J., Sohn, J. I., Goh, K-I., & Kim, I. M. (2012). Modeling the mobility with memory. EPL, 99(5), [50001]. https://doi.org/10.1209/0295-5075/99/50001

Modeling the mobility with memory. / Choi, Jeehye; Sohn, Jang Il; Goh, Kwang-Il; Kim, I. M.

In: EPL, Vol. 99, No. 5, 50001, 01.09.2012.

Research output: Contribution to journalArticle

Choi, J, Sohn, JI, Goh, K-I & Kim, IM 2012, 'Modeling the mobility with memory', EPL, vol. 99, no. 5, 50001. https://doi.org/10.1209/0295-5075/99/50001
Choi, Jeehye ; Sohn, Jang Il ; Goh, Kwang-Il ; Kim, I. M. / Modeling the mobility with memory. In: EPL. 2012 ; Vol. 99, No. 5.
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