Einstein–Smoluchowski relation

E4990
equation in statistical physics physical law

The Einstein–Smoluchowski relation is a fundamental equation in statistical physics that links the diffusion coefficient of particles undergoing Brownian motion to their mobility and thermal energy.

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Observed surface forms (1)

Surface form Occurrences
Einstein relation for diffusion 1

Statements (43)

Predicate Object
instanceOf equation in statistical physics ⓘ
physical law ⓘ
appliesTo Brownian particles in thermal equilibrium ⓘ
assumes isothermal conditions ⓘ
linear response regime ⓘ
overdamped dynamics ⓘ
category Brownian dynamics ⓘ
Equations of statistical mechanics ⓘ
Transport phenomena ⓘ
connects diffusion and drift under external force ⓘ
random thermal motion and dissipative transport ⓘ
describes Brownian motion of particles in a fluid ⓘ
relation between diffusion coefficient and mobility ⓘ
expresses D = μ k_B T ⓘ
field soft condensed matter physics ⓘ
statistical physics ⓘ
thermodynamics ⓘ
involvesQuantity Boltzmann constant ⓘ
surface form: Boltzmann constant k_B

absolute temperature T ⓘ
diffusion coefficient D ⓘ
mobility μ ⓘ
isSpecialCaseOf fluctuation–dissipation theorem ⓘ
namedAfter Albert Einstein ⓘ
Marian Smoluchowski ⓘ
relatedConcept Brownian motion ⓘ
Fokker–Planck equation ⓘ
Langevin dynamics ⓘ
surface form: Langevin equation

Stokes–Einstein relation ⓘ
diffusion equation ⓘ
mobility (transport theory) ⓘ
relates diffusion coefficient ⓘ
particle mobility ⓘ
thermal energy ⓘ
usedIn biophysics ⓘ
colloid science ⓘ
electrolyte theory ⓘ
microrheology ⓘ
single-particle tracking analysis ⓘ
soft matter physics ⓘ
transport phenomena ⓘ
validFor non-interacting or weakly interacting particles ⓘ
systems near thermal equilibrium ⓘ
yearProposed 1905 ⓘ

Referenced by (2)

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

this entity surface form: Einstein relation for diffusion
Brownian motion → usedIn → Einstein–Smoluchowski relation ⓘ