.png){kind=icon}
返回
Single-file dynamics with different diffusion constants
.png){kind=icon}
OA
AI
DOI：10.1063/1.3009853.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
We investigate the single-file dynamics of a tagged particle in a system consisting of N hardcore interacting particles (the particles cannot pass each other) which are diffusing in a one-dimensional system where the particles have different diffusion constants. For the two-particle case an exact result for the conditional probability density function (PDF) is obtained for arbitrary initial particle positions and all times. The two-particle PDF is used to obtain the tagged particle PDF. For the general N-particle case (N large) we perform stochastic simulations using our new computationally efficient stochastic simulation technique based on the Gillespie algorithm. We find that the mean square displacement for a tagged particle scales as the square root of time (as for identical particles) for long times, with a prefactor which depends on the diffusion constants for the particles; these results are in excellent agreement with very recent analytic predictions in the mathematics literature.
Keyword:
aggregation
diffusion
numerical analysis
probability
stochastic processes
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.1
论文数:
7.2W
被引数:
23.2W
机构
引用论文
.png){kind=icon}
The random walk's guide to anomalous diffusion: a fractional dynamics approach随机游走的异常扩散指南: 分数动力学方法
PREAI
分享收藏
Eco-synthesis route: Developing bis-hydrazono[1,2,4]-thiadiazoles via a green synthetic approach with calcium oxide-chitosan nanocomposite生态合成路线：通过氧化钙-壳聚糖纳米复合材料的绿色合成方法开发双肼唑基[1,2,4]-噻二唑类化合物
PREAI
分享收藏
查看更多内容