General nucleation-growth type kinetic models of nanoparticle formation: possibilities of finding analytical solutions

DOI10.1007/S10910-021-01265-ZzbMath1478.82013OpenAlexW3176867429MaRDI QIDQ2046288

Gábor Lente, Rebeka Szabó

Publication date: 17 August 2021

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-021-01265-z

zbMATH Keywords

momentkernel functionautocatalysissymbolic solutionnucleation kineticsnanoparticle growth

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Classical flows, reactions, etc. in chemistry (92E20) Nonlinear ordinary differential equations and systems (34A34) Statistical mechanics of polymers (82D60) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Statistical mechanics of nanostructures and nanoparticles (82D80)

Cites Work

• First-order chemical reaction networks. I: Theoretical considerations
• Analytic results on the polymerisation random graph model
• Full analytical solution of a nucleation-growth type kinetic model of nanoparticle formation

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