We derive the generalized Langevin equation for the motion of a hard disk in a two-dimensional incompressible fluid using a fluctuating hydrodynamical treatment. We show that our results are consistent with the fluctuation-dissipation theorem. © 1990.
Hu, G. Y., & O’Connell, R. F. (1990). Two-dimensional Brownian motion and fluctuating hydrodynamics. Physica A: Statistical Mechanics and Its Applications, 163(3), 804–812. https://doi.org/10.1016/0378-4371(90)90251-M