Scaling theory for gelling systems: work in progress

DOI10.1016/j.physd.2006.08.011zbMath1139.82034OpenAlexW2016912472MaRDI QIDQ852888

F. Leyvraz

Publication date: 15 November 2006

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2006.08.011

zbMATH Keywords

Integro-differential equationsCoagulationGelation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Interacting particle systems in time-dependent statistical mechanics (82C22) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

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An introduction to mathematical models of coagulation--fragmentation processes: a discrete deterministic mean-field approach, Exact combinatorial approach to finite coagulating systems through recursive equations, Coalescense with arbitrary-parameter kernels and monodisperse initial conditions: a study within combinatorial framework, Combinatorial solutions to coagulation kernel for linear chains

Cites Work

• Existence of gelling solutions for coagulation-fragmentation equations
• On a class of continuous coagulation-fragmentation equations
• ON AN INFINITE SET OF NON-LINEAR DIFFERENTIAL EQUATIONS
• A Global Existence Theorem for Smoluchowski's Coagulation Equations
• Singularities in the kinetics of coagulation processes
• A survey of numerical solutions to the coagulation equation
• Global solutions to the discrete coagulation equations
• Rigorous Results in the Scaling Theory of Irreversible Aggregation Kinetics