Gaussian field theory for the Brownian motion of a solvated particle
Gaussian field theory for the Brownian motion of a solvated particle
An alternative derivation of Brownian motion is presented. Instead of supplementing the linearized Navier-Stokes equations with a fluctuating force, we directly assume a Gaussian action functional for solvent velocity fluctuations. Solvating a particle amounts to expelling the solvent and prescribing a boundary condition to the solvent on the interface that …