Stokes–Einstein relation

E31544
equation in statistical physics physical law

The Stokes–Einstein relation is a fundamental equation in statistical physics that links the diffusion coefficient of a particle in a fluid to its size, the fluid’s viscosity, and temperature.

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All labels observed (1)

Label Occurrences
Stokes–Einstein relation canonical 2

Statements (49)

Predicate Object
instanceOf equation in statistical physics ⓘ
physical law ⓘ
appliesTo Brownian particles ⓘ
Newtonian fluids ⓘ
dilute suspensions ⓘ
spherical particles ⓘ
assumes continuum hydrodynamics ⓘ
isotropic medium ⓘ
low Reynolds number ⓘ
no-slip boundary condition ⓘ
overdamped motion ⓘ
thermal equilibrium ⓘ
category diffusion ⓘ
transport phenomena ⓘ
derivedFrom On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat ⓘ
surface form: Einstein theory of Brownian motion

Stokes law for viscous drag ⓘ
describes translational diffusion of spherical particles ⓘ
expresses diffusion coefficient is directly proportional to temperature ⓘ
diffusion coefficient is inversely proportional to fluid viscosity ⓘ
diffusion coefficient is inversely proportional to particle radius ⓘ
field colloid science ⓘ
physical chemistry ⓘ
soft condensed matter physics ⓘ
statistical physics ⓘ
hasComponentConcept Brownian motion ⓘ
viscous drag ⓘ
hasForm D = k_B T / (6 π η R) ⓘ
knownLimitation breaks down for supercooled liquids ⓘ
may fail for highly crowded environments ⓘ
may fail for strongly interacting colloids ⓘ
namedAfter Albert Einstein ⓘ
George Stokes ⓘ
surface form: George Gabriel Stokes
relatesQuantity Boltzmann constant ⓘ
absolute temperature ⓘ
diffusion coefficient ⓘ
fluid viscosity ⓘ
particle radius ⓘ
usedFor characterizing colloidal dispersions ⓘ
estimating particle size from diffusion measurements ⓘ
interpreting dynamic light scattering experiments ⓘ
microrheology ⓘ
nanoparticle size determination ⓘ
validWhen hydrodynamic interactions are well described by continuum theory ⓘ
particle size is much larger than solvent molecules ⓘ
variable D ⓘ
R ⓘ
T ⓘ
k_B ⓘ
η ⓘ

Referenced by (2)

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

Einstein–Smoluchowski relation → relatedConcept → Stokes–Einstein relation ⓘ
George Gabriel → notableIdea → Stokes–Einstein relation ⓘ
subject surface form: George Gabriel Stokes