Modeling the mobility with memory

Jeehye Choi, Jang Il Sohn, K. I. Goh, I. M. Kim

    Research output: Contribution to journalArticlepeer-review

    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 Sept

    ASJC Scopus subject areas

    • General Physics and Astronomy

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