Random walk with memory enhancement and decay.
A model of random walk with memory enhancement and decay was presented on the basis of the characteristics of the biological intelligent walks. In this model, the movement of the walker is determined by the difference between the remaining information at the jumping-out site and jumping-in site. The amount of the memory information s(i)(t) at a site i is enhanced with the increment of visiting times to that site, and decays with time t by the rate e(-beta(t)), where beta is the memory decay exponent. When beta=0, there exists a transition from Brownian motion (BM) to the compact growth of walking trajectory with the density of information energy u increasing. But for beta>0, this transition does not appear and the walk with memory enhancement and decay can be considered as the BM of the mass center of the cluster composed of remembered sites in the late stage.
Tan
Zhi-Jie
ZJ
Department of Physics, Wuhan University, Wuhan 430072, China.
Zou
Xian-Wu
XW
Huang
Sheng-You
SY
Zhang
Wei
W
Jin
Zhun-Zhi
ZZ
D000818:Animals; D001000:Ants / Q000502:physiology; D001522:Behavior, Animal / Q000502:physiology; D003198:Computer Simulation; D007313:Insecta / Q000502:physiology; D008568:Memory / Q000502:physiology*; D009010:Monte Carlo Method; D009068:Movement / Q000502:physiology; D012371:Robotics; D013997:Time Factors