Understanding Fluid Dynamics from Langevin and Fokker–Planck Equations
Andrei Medved, Riley M. Davis, Paula A. Vásquez
Abstract
The Langevin equations (LE) and the Fokker–Planck (FP) equations are widely used to describe fluid behavior based on coarse-grained approximations of microstructure evolution. In this manuscript, we describe the relation between LE and FP as related to particle motion within a fluid. The manuscript introduces undergraduate students to two LEs, their corresponding FP equations, and their solutions and physical interpretation.
Topics & Concepts
Fokker–Planck equationLangevin equationPlanckStatistical physicsLangevin dynamicsPhysicsBrownian dynamicsFluid dynamicsClassical mechanicsBrownian motionMechanicsDifferential equationQuantum mechanicsAdvanced Thermodynamics and Statistical MechanicsNanopore and Nanochannel Transport StudiesMaterial Dynamics and Properties