Hitchhiker model for Laplace diffusion processes.,Physical Review E

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Hitchhiker model for Laplace diffusion processes.
Physical Review E ( IF 2.2 ) Pub Date : 2020-07-02 , DOI: 10.1103/physreve.102.012109
M Hidalgo-Soria ₁ , E Barkai ₁

Affiliation

Brownian motion is a Gaussian process describing normal diffusion with a variance increasing linearly with time. Recently, intracellular single-molecule tracking experiments have recorded exponentially decaying propagators, a phenomenon called Laplace diffusion. Inspired by these developments we study a many-body approach, called the Hitchhiker model, providing a microscopic description of the widely observed behavior. Our model explains how Laplace diffusion is controlled by size fluctuations of single molecules, independently of the diffusion law which they follow. By means of numerical simulations Laplace diffusion is recovered and we show how single-molecule tracking and data analysis, in a many-body system, is highly nontrivial as tracking of a single particle or many in parallel yields vastly different estimates for the diffusivity. We quantify the differences between these two commonly used approaches, showing how the single-molecule estimate of diffusivity is larger if compared to the full tagging method.

中文翻译：

用于拉普拉斯扩散过程的Hitchhiker模型。

布朗运动是描述正态扩散的高斯过程，其方差随时间线性增加。最近，细胞内单分子跟踪实验已经记录了指数衰减的繁殖体，这种现象称为拉普拉斯扩散。受这些发展的启发，我们研究了一种称为Hitchhiker模型的多体方法，对广泛观察到的行为进行了微观描述。我们的模型解释了如何通过单个分子的大小波动来控制拉普拉斯扩散，而与它们遵循的扩散定律无关。通过数值模拟，可以恢复拉普拉斯扩散，并且我们展示了在多体系统中单分子跟踪和数据分析是非常简单的，因为跟踪单个或多个并行粒子会产生非常不同的扩散率估计。

更新日期：2020-07-02

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