Modeling the mobility with memory
- Authors
- Choi, Jeehye; Sohn, Jang-Il; Goh, K. -I.; Kim, I. -M.
- Issue Date
- 9월-2012
- Publisher
- EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
- Citation
- EPL, v.99, no.5
- Indexed
- SCIE
SCOPUS
- Journal Title
- EPL
- Volume
- 99
- Number
- 5
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/107553
- DOI
- 10.1209/0295-5075/99/50001
- ISSN
- 0295-5075
- 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 a 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.
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Collections - College of Science > Department of Physics > 1. Journal Articles
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