多区域环境中的一维随机游动
One-Dimensional Random Walk in Multi-Zone Environment
摘要：
研究了环境中一维对称随机游动（RW），它由若干有限宽度的区域组成，其中相邻两点之间的跃迁概率和相应的扩散系数被认为是不同的固定值.我们推导出分析的概率找到一个步行者在给定的位置和时间。概率分布函数被发现，并没有高斯形式，因为在大部分区域的吸附和部分反射的分离点的属性。本文还研究了步行者的均方位移随时间的变化关系，并揭示了与普通RW相比的瞬态反常行为。
英文摘要：
We study a symmetric random walk (RW) in one spatial dimension in environment, formed by several zones of finite width, where the probability of transition between two neighboring points and corresponding diffusion coefficient are considered to be differently fixed. We derive analytically the probability to find a walker at the given position and time. The probability distribution function is found and has no Gaussian form because of properties of adsorption in the bulk of zones and partial reflection at the separation points. Time dependence of the mean squared displacement of a walker is studied as well and revealed the transient anomalous behavior as compared with ordinary RW.
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