Becker–Döring theory of nucleation

E664995

classical nucleation model kinetic theory model in statistical physics nucleation theory

The Becker–Döring theory of nucleation is a classical kinetic model in statistical physics that describes how clusters of particles grow or shrink through the successive addition or loss of single monomers, providing a fundamental framework for understanding phase transitions and nucleation rates.

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Statements (49)

Predicate	Object
instanceOf	classical nucleation model ⓘ kinetic theory ⓘ model in statistical physics ⓘ nucleation theory ⓘ
aimsToExplain	nucleation rate as function of supersaturation ⓘ time lag in nucleation ⓘ
appliesTo	crystal nucleation in melts ⓘ precipitation in solid solutions ⓘ protein aggregation ⓘ self-assembly of nanoparticles ⓘ vapor-to-liquid nucleation ⓘ
assumes	binary collisions between monomers and clusters ⓘ clusters change size by single-monomer steps ⓘ detailed balance at equilibrium ⓘ well-mixed system ⓘ
basedOn	discrete cluster size variable ⓘ master equations for cluster populations ⓘ
canBeApproximatedBy	continuum Fokker–Planck equation in cluster size ⓘ
characterizedBy	attachment rate coefficients ⓘ critical cluster size ⓘ detachment rate coefficients ⓘ nucleation barrier ⓘ
context	first-order phase transitions ⓘ phase transitions ⓘ
describes	formation of supercritical nuclei ⓘ growth of clusters by monomer attachment ⓘ kinetics of nucleation ⓘ shrinkage of clusters by monomer detachment ⓘ steady-state nucleation rate ⓘ time evolution of cluster size distribution ⓘ
field	condensed matter physics ⓘ physical chemistry ⓘ statistical physics ⓘ
hasLimitation	assumption of spatial homogeneity ⓘ difficulty including cluster–cluster aggregation ⓘ neglect of multi-particle attachment events ⓘ
influenced	modern kinetic nucleation models ⓘ non-classical nucleation studies ⓘ
introducedBy	Richard Becker NERFINISHED ⓘ Werner Döring NERFINISHED ⓘ
mathematicallyFormulatedAs	infinite set of coupled ordinary differential equations ⓘ
publicationYear	1935 ⓘ
relatedTo	Fokker–Planck description of nucleation ⓘ Smoluchowski coagulation equations NERFINISHED ⓘ Zeldovich theory of nucleation NERFINISHED ⓘ classical nucleation theory ⓘ
uses	cluster free energies ⓘ discrete kinetic equations ⓘ mass conservation constraint ⓘ

Referenced by (1)

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Richard Becker → notableWork → Becker–Döring theory of nucleation ⓘ