Coarse-grained picture of Brownian motion in water: Role of size and interaction distance range on the nature of randomness

The Journal of Chemical Physics
Itsuo HanasakiSatoyuki Kawano

Abstract

The Brownian motion of a particle in a fluid is often described by the linear Langevin equation, in which it is assumed that the mass of the particle is sufficiently large compared to the surrounding fluid molecules. This assumption leads to a diffusion coefficient that is independent of the particle mass. The Stokes-Einstein equation indicates that the diffusion coefficient depends solely on the particle size, but the concept of size can be ambiguous when close to the molecular scale. We first examine the Brownian motion of simple model particles based on short-range interactions in water by the molecular dynamics method and show that the diffusion coefficient can vary with mass when this mass is comparable to that of the solvent molecules, and that this effect is evident when the solute particle size is sufficiently small. We then examine the properties of a water molecule considered as a solute in the bulk solvent consisting of the remainder of the water. A comparison with simple solute models is used to clarify the role of force fields. The long-range Coulomb interaction between water molecules is found to lead to a Gaussian force distribution in spite of a mass ratio and nominal size ratio of unity, such that solutes with ...Continue Reading

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Citations

Mar 10, 2016·The Journal of Chemical Physics·Itsuo HanasakiSatoyuki Kawano
Oct 14, 2017·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Tetsuro TsujiSatoyuki Kawano
Apr 3, 2019·Physical Review. E·Itsuo HanasakiYoshito Y Tanaka

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