VELOCITY AND DIFFUSION CONSTANT OF A PERIODIC ONE-DIMENSIONAL HOPPING MODEL
VELOCITY AND DIFFUSION CONSTANT OF A PERIODIC ONE-DIMENSIONAL HOPPING MODEL
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DOI：
10.1007/bf01019492
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发表时间：
1983-01-01
影响因子：
1.6
通讯作者：
DERRIDA, B
中科院分区：
文献类型：
--
作者：
DERRIDA, B
本文给出了任意周期N的一维周期跳跃模型的速度和扩散常数。这两个量被表示为所有跳频速率的显式函数。取极限N→ B，计算了随机系统的速度和扩散常数。人们发现，通过改变跳跃率的分布，扩散常数和速度是奇异的在不同的点。最后，提出了几种可能的应用。
The velocity and the diffusion constant are obtained for a periodic onedimensional hopping model of arbitrary periodN. These two quantities are expressed as explicit functions of all the hopping rates. The velocity and the diffusion constant of random systems are calculated by taking the limit N→Β. One finds by varying the distribution of hopping rates that the diffusion constant and the velocity are singular at different points. Lastly, several possible applications are proposed.