A numerical model for Brownian particles fluctuating in incompressible fluids

Takuya Iwashita, Yasuya Nakayama, Ryoichi Yamamoto

Research output: Contribution to journalArticlepeer-review

49 Citations (Scopus)


We present a numerical method that consistently implements thermal fluctuations and hydrodynamic interactions to the motion of Brownian particles dispersed in incompressible host fluids. In this method, the thermal fluctuations are introduced as random forces acting on the Brownian particles. The hydrodynamic interactions are introduced by directly resolving the fluid motions with the particle motion as a boundary condition to be satisfied. The validity of the method has been examined carefully by comparing the present numerical results with the fluctuation-dissipation theorem whose analytical form is known for dispersions of a single spherical particle. Simulations are then performed for more complicated systems, such as a dispersion composed of many spherical particles and a single polymeric chain in a solvent.

Original languageEnglish
Article number074007
Journaljournal of the physical society of japan
Issue number7
Publication statusPublished - Jul 2008

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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