Langevin dynamics

E4992

mathematical model stochastic dynamics formalism theoretical framework in statistical mechanics

Langevin dynamics is a stochastic approach to modeling the motion of particles in a fluid by combining deterministic forces with random thermal fluctuations, often used to simulate Brownian motion and other nonequilibrium processes.

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All labels observed (4)

Label	Occurrences
Langevin equation	9
Langevin dynamics canonical	5
Metropolis-adjusted Langevin algorithm	1
Ornstein–Uhlenbeck process	1

Statements (48)

Predicate	Object
instanceOf	mathematical model ⓘ stochastic dynamics formalism ⓘ theoretical framework in statistical mechanics ⓘ
appliedIn	biophysics ⓘ chemical physics ⓘ materials science ⓘ soft condensed matter physics ⓘ
assumes	delta-correlated noise in time ⓘ thermal equilibrium of the heat bath ⓘ
basedOn	Newtonian mechanics with stochastic forces ⓘ
canBe	overdamped ⓘ underdamped ⓘ
describes	time evolution of particle positions and velocities ⓘ
field	computational physics ⓘ molecular simulation ⓘ nonequilibrium statistical physics ⓘ statistical mechanics ⓘ
goal	capture thermal fluctuations and dissipation in particle motion ⓘ
hasParameter	friction coefficient ⓘ random force amplitude ⓘ temperature ⓘ
implementedIn	molecular dynamics software ⓘ
includes	Gaussian white noise ⓘ deterministic force term ⓘ friction term ⓘ random noise term ⓘ
namedAfter	Paul Langevin ⓘ
numericalSchemes	Euler–Maruyama method ⓘ stochastic Verlet integrator ⓘ
relatedTo	Brownian dynamics ⓘ Fokker–Planck equation ⓘ Markov processes ⓘ Fokker–Planck equation ⓘ surface form: Ornstein–Uhlenbeck process overdamped dynamics ⓘ stochastic differential equations ⓘ
satisfies	fluctuation–dissipation theorem ⓘ
timeContinuousOrDiscrete	continuous-time formulation ⓘ discrete-time numerical integration ⓘ
usedFor	biomolecular simulations ⓘ coarse-grained simulations of soft matter ⓘ colloidal suspension simulations ⓘ diffusion process modeling ⓘ granular media modeling ⓘ modeling Brownian motion ⓘ modeling nonequilibrium processes ⓘ molecular dynamics simulations with thermostatting ⓘ polymer dynamics modeling ⓘ simulating particle motion in fluids ⓘ

Referenced by (16)

Full triples — surface form annotated when it differs from this entity's canonical label.

Brownian motion → generalization → Langevin dynamics ⓘ

this entity surface form: Ornstein–Uhlenbeck process

Brownian motion → relatedConcept → Langevin dynamics ⓘ

Einstein–Smoluchowski relation → relatedConcept → Langevin dynamics ⓘ