Nonlinear Langevin Equation of a Brownian Particle Based on Fluctuating Hydrodynamics

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  • Nonlinear Langevin Equation of a Browni

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The force on a Brownian particle moving at a small but finite velocity in an incompressible fluid is studied on the basis of equations governing fluctuating hydrodynamics. A nonlinear Langevin equation for a spherical Brownian particle with an explicit fluctuation-dissipation relation depending on the motion of the particle is derived.

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