arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1206.3755physics.soc-phcond-mat.stat-mech
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带记忆的移动性建模

Modeling the mobility with memory

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

摘要:

我们研究了一个随机游走模型,其中跳到一个网站的概率取决于以前访问该网站的次数,作为一个模型的移动与记忆。为此,我们引入两个参数称为记忆参数α和脉冲参数P。从广泛的数值模拟,我们发现,可以观察到各种有限的流动性模式,如子扩散,捕获,对数扩散。通过这种记忆,长程定向反关联在动力学上诱导了反常的亚扩散和俘获行为,以及它们之间的跃迁。随着脉冲参数的随机跳跃,被困的步行者可以非常缓慢地逃离陷阱,导致超低对数扩散行为。我们的研究结果表明,步行者的记忆已经beens可以解释许多经验特征的动画对象的流动性的一种机制。

英文摘要:

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 alpha 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. By the memory, a long-ranged directional anti-correlation kinetically-induces anomalous 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 empirical characteristics of the mobility of animated objects.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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