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)


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
Issue number5
Publication statusPublished - 2012 Sept

ASJC Scopus subject areas

  • General Physics and Astronomy


Dive into the research topics of 'Modeling the mobility with memory'. Together they form a unique fingerprint.

Cite this