Langevin dynamics
E4992
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.
Aliases (3)
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 → 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 (12)
| Subject (surface form when different) | Predicate |
|---|---|
|
Paul Langevin
("Langevin equation")
→
Paul Langevin → |
knownFor |
|
Brownian motion
→
Einstein–Smoluchowski relation ("Langevin equation") → |
relatedConcept |
|
Euler–Maruyama method
("Langevin equation")
→
Fokker–Planck equation ("Langevin equation") → |
relatedTo |
|
Fokker–Planck equation
→
|
canBeDerivedFrom |
|
Brownian motion
("Ornstein–Uhlenbeck process")
→
|
generalization |
|
Markov chain Monte Carlo
("Metropolis-adjusted Langevin algorithm")
→
|
hasMethod |
|
fluctuation–dissipation theorem
("Langevin equation")
→
|
isRelatedTo |
|
Ornstein–Uhlenbeck process
("Langevin equation")
→
|
specialCaseOf |
|
Ornstein–Uhlenbeck process
→
|
usedIn |