Classical Langevin Equation
type: Item
instance of: mathematical expression
instance of: dynamic expression
instance of: probabilistic expression
defining formula: M d 2 d t 2 q → = F ( q ) − γ d d t q + 2 γ k B T R ( t )
in defining formula: F
in defining formula: M
in defining formula: R ( t )
in defining formula: T
in defining formula: γ
in defining formula: k B
in defining formula: q
in defining formula: t
specialized by: Classical Brownian Equation
specialized by: Classical Newton Equation
specialized by: Heavy Particle Newton Equation
description: Note that a Langevin equation can be reformulated as a Fokker–Planck equation governing a probability distribution.
Wikidata QID: Q584537
community: MathModDB
MaRDI profile type: MaRDI formula profile
named after: Paul Langevin
related URL: Langevin equation
similar to: Classical Brownian Equation
similar to: Classical Fokker Planck Equation
description: same as (classical) Newton's equation of motion, but with additional terms for friction|damping and for stochastic collisions added