期刊
JOURNAL OF PHYSICAL CHEMISTRY B
卷 125, 期 17, 页码 4489-4493出版社
AMER CHEMICAL SOC
DOI: 10.1021/acs.jpcb.1c01856
关键词
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资金
- Intramural Research Program of the NIH, Center for Information Technology
- National Institute of Diabetes and Digestive and Kidney Diseases
The article discusses particle drift velocity fluctuations due to transitions among discrete states or due to diffusion in a confined moving fluid, and outlines a method for calculating the effective diffusivity. Analytical expressions are provided for effective diffusivity under specific conditions, recovering classic results for Taylor dispersion and cargo transport along microtubules.
Consider a particle whose drift velocity fluctuates due to transitions among discrete states or due to diffusion in a confined moving fluid. At long times, the dynamics of the particle in the direction of transport can be described in terms of the average drift velocity and an effective diffusivity. For both types of fluctuations, we show that the effective diffusivity is the sum of the average intrinsic diffusivity and the time integral of the velocity correlation function of the deviation of the fluctuating velocity from its mean value. For nearest-neighbor interstate transitions and for one-dimensional diffusion in a perpendicular direction, the time integral can be found in closed form. Our analytical expressions for the effective diffusivity recover the classic results for Taylor dispersion in the laminar flow of viscous fluid and for cargo transport along microtubules by molecular motors.
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