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.
All labels observed (3)
How this entity was disambiguated
This entity first appeared as the object of triple T1263705 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: Tolman length in thermodynamics of curved interfaces Context triple: [Richard C. Tolman, notableWork, Tolman length in thermodynamics of curved interfaces]
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A.
Carathéodory’s formulation of the second law of thermodynamics
Carathéodory’s formulation of the second law of thermodynamics is a mathematically rigorous restatement of the second law based on the inaccessibility of certain thermodynamic states, providing a foundation for the concept of entropy without relying on cyclic processes or heat engines.
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B.
Landau theory of second-order phase transitions
Landau theory of second-order phase transitions is a phenomenological framework that explains continuous phase transitions by expanding the free energy in terms of an order parameter and analyzing symmetry-breaking behavior near critical points.
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C.
Boltzmann–Gibbs entropy in statistical mechanics
Boltzmann–Gibbs entropy in statistical mechanics is the standard measure of disorder or uncertainty in a system, quantifying how many microscopic configurations correspond to a given macroscopic state and forming the basis of classical equilibrium statistical mechanics.
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D.
Pippard nonlocal theory
Pippard nonlocal theory is a refinement of superconductivity theory that introduces spatially nonlocal relations between current and electromagnetic fields to account for finite coherence length effects beyond the London model.
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E.
Smoluchowski coagulation equation
The Smoluchowski coagulation equation is a fundamental integro-differential equation in statistical physics that models how particles undergoing random collisions aggregate over time into larger clusters.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Tolman length in thermodynamics of curved interfaces Target entity description: 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.
-
A.
Carathéodory’s formulation of the second law of thermodynamics
Carathéodory’s formulation of the second law of thermodynamics is a mathematically rigorous restatement of the second law based on the inaccessibility of certain thermodynamic states, providing a foundation for the concept of entropy without relying on cyclic processes or heat engines.
-
B.
Landau theory of second-order phase transitions
Landau theory of second-order phase transitions is a phenomenological framework that explains continuous phase transitions by expanding the free energy in terms of an order parameter and analyzing symmetry-breaking behavior near critical points.
-
C.
Boltzmann–Gibbs entropy in statistical mechanics
Boltzmann–Gibbs entropy in statistical mechanics is the standard measure of disorder or uncertainty in a system, quantifying how many microscopic configurations correspond to a given macroscopic state and forming the basis of classical equilibrium statistical mechanics.
-
D.
Pippard nonlocal theory
Pippard nonlocal theory is a refinement of superconductivity theory that introduces spatially nonlocal relations between current and electromagnetic fields to account for finite coherence length effects beyond the London model.
-
E.
Smoluchowski coagulation equation
The Smoluchowski coagulation equation is a fundamental integro-differential equation in statistical physics that models how particles undergoing random collisions aggregate over time into larger clusters.
- F. None of above. chosen
Statements (48)
| 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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Subject: Tolman length in thermodynamics of curved interfaces Description of subject: 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.
Referenced by (3)
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