移动杂质云中的受驱粒子
Driven particle in a cloud of mobile impurities
摘要：
用解析和数值方法研究了测试粒子与一维扩散杂质相互作用的动力学。在没有施加外力的情况下，粒子的动力学可以由单调偏移$Δx$的分布来表征，其以指数$τ_{Δx} = 4/3$作为幂律缩放。当粒子以缓慢的恒定速度被驱动时，对于力$ΔF$的单调变化，再次存在幂律分布，其特征在于类似的指数$τ_{ΔF}=4/3$。这些结果可以从随机游动理论中得到理解。
英文摘要：
The dynamics of a test particle interacting with diffusing impurities in one dimension is investigated analytically and numerically. In the absence of an applied external force, the dynamics of the particle can be characterized by a distribution of monotonic excursions $Δx$, which scales as a power law with an exponent $τ_{Δx} = 4/3$. When the particle is driven at a slow constant velocity, there is again a power law distribution for the monotonic changes of the force $ΔF$, which is characterized by a similar exponent $τ_{ΔF}=4/3$. These results can be understood from the theory of random walks.
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。
