Understanding Fluid Dynamics from Langevin and Fokker–Planck Equations

Understanding Fluid Dynamics from Langevin and Fokker–Planck Equations

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...

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Bibliographic Details
Published in:Fluids (Basel) Vol. 5; no. 1; p. 40
Main Authors: Medved, Andrei, Davis, Riley, Vasquez, Paula A.
Format: Journal Article
Language:English
Published: Basel MDPI AG 23-03-2020
Subjects:
Equilibrium
fluctuation dissipation
Fluid dynamics
Fokker-Planck equation
fokker–planck
Hydrodynamics
langevin
Mathematical analysis
matlab gui
microrheology
mobility
Noise
Ordinary differential equations
Particle motion
stokes–einstein relation
Velocity
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Summary: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.
ISSN:2311-5521
2311-5521
DOI:10.3390/fluids5010040