Tolman length in thermodynamics of curved interfaces

E145214

The Tolman length in thermodynamics of curved interfaces is a theoretical parameter that quantifies how the surface tension of a fluid interface depends on its curvature, especially for small droplets and bubbles.

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Predicate Object
instanceOf concept in interfacial thermodynamics
concept in statistical mechanics
length scale
thermodynamic parameter
appliesTo curved interfaces
fluid–fluid interfaces
liquid–vapor interfaces
approximatedBy density functional theory calculations
fitting curvature-dependent surface tension data
molecular dynamics simulations of droplets
category curvature correction parameter
interfacial property
thermodynamic length scale
context finite-size effects in interfacial thermodynamics
non-planar interfaces
dependsOn fluid composition
intermolecular interactions
temperature
describes correction to surface tension for small bubbles
correction to surface tension for small droplets
dependence of surface tension on curvature
field fluid mechanics
statistical physics
surface science
thermodynamics of curved interfaces
hasDefinition difference between the equimolar radius and the radius of the surface of tension in a curved interface
hasProperty can be positive or negative
often of molecular length scale
typically small compared to droplet radius
introducedIn Tolman’s 1949 work on the effect of droplet size on surface tension
mathematicalForm Tolman length in thermodynamics of curved interfaces self-linksurface differs
surface form: appears in first-order curvature correction to surface tension γ(R) = γ∞ (1 - 2δ/R + …)
namedAfter Richard C. Tolman
relatedTo Gibbs dividing surface
Laplace pressure
capillarity
classical nucleation theory
curvature-dependent surface tension
equimolar dividing surface
nucleation theory
surface tension
scale nanometer scale
symbol δ
usedIn corrections to Laplace equation for curved interfaces
density functional theory of inhomogeneous fluids
modeling of nucleation barriers
molecular simulation analysis of interfaces
theoretical analysis of small bubbles
theoretical analysis of small droplets

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Referenced by (3)

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

Richard C. Tolman notableWork Tolman length in thermodynamics of curved interfaces
Tolman length in thermodynamics of curved interfaces mathematicalForm Tolman length in thermodynamics of curved interfaces self-linksurface differs
subject surface form: Tolman length
this entity surface form: appears in first-order curvature correction to surface tension γ(R) = γ∞ (1 - 2δ/R + …)
Chace associatedWithConcept Tolman length in thermodynamics of curved interfaces
this entity surface form: Tolman length