Martens K, Angelani L, Di Leonardo R, Bocquet L
LPMCN, Université Lyon 1 and UMR CNRS 5586, Villeurbanne, France.
Eur Phys J E Soft Matter. 2012 Sep;35(9):84. doi: 10.1140/epje/i2012-12084-y. Epub 2012 Sep 14.
In this paper, we exploit an analogy of the run-and-tumble process for bacterial motility with the Lorentz model of electron conduction in order to obtain analytical results for the intermediate scattering function. This allows to obtain an analytical result for the van Hove function in real space for two-dimensional systems. We furthermore consider the 2D circling motion of bacteria close to solid boundaries with tumbling, and show that the analogy to electron conduction in a magnetic field allows to predict the effective diffusion coefficient of the bacteria. The latter is shown to be reduced by the circling motion of the bacteria.
在本文中，我们利用细菌运动的“奔跑与翻滚”过程与电子传导的洛伦兹模型之间的类比，以获得中间散射函数的解析结果。这使得我们能够得到二维系统在实空间中范霍夫函数的解析结果。此外，我们考虑了靠近固体边界且带有翻滚的细菌的二维圆周运动，并表明与磁场中电子传导的类比能够预测细菌的有效扩散系数。结果表明，细菌的圆周运动会降低该有效扩散系数。
