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 language | English |
|---|---|
| Article number | 50001 |
| Journal | EPL |
| Volume | 99 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2012 Sep 1 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
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 journal › Article
}
TY - JOUR
T1 - Modeling the mobility with memory
AU - Choi, Jeehye
AU - Sohn, Jang Il
AU - Goh, Kwang-Il
AU - Kim, I. M.
PY - 2012/9/1
Y1 - 2012/9/1
N2 - 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.
AB - 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.
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U2 - 10.1209/0295-5075/99/50001
DO - 10.1209/0295-5075/99/50001
M3 - Article
VL - 99
JO - EPL
JF - EPL
SN - 0295-5075
IS - 5
M1 - 50001
ER -