Modeling the mobility with memory

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

Research output: Contribution to journalArticle

6 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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    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