Gelation in coagulating systems

DOI10.1016/j.physd.2006.08.002zbMath1139.82031OpenAlexW1980445084MaRDI QIDQ852892

A. A. Lushnikov

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.2006.08.002

zbMATH Keywords

exactly solvable modelfinite coagulating systemssol--gel transition

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Statistical mechanics of polymers (82D60) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (11)

Gelation in coagulating systems ⋮ Exact combinatorial approach to finite coagulating systems through recursive equations ⋮ Mathematical analysis of finite volume preserving scheme for nonlinear Smoluchowski equation ⋮ Dynamics of random graphs with bounded degrees ⋮ Coalescense with arbitrary-parameter kernels and monodisperse initial conditions: a study within combinatorial framework ⋮ Equations of kinetics for aggregation processes in suspensions ⋮ Fusion leads to effective segregation of damage during cell division: an analytical treatment ⋮ Convergence analysis of volume preserving scheme for mass based coalescence equation ⋮ A Framework for Exploring the Post-gelation Behavior of Ziff and Stell's Polymerization Models ⋮ Distribution of the coalescence times in a system of diffusion-aggregation of particle clusters in one dimension ⋮ Combinatorial solutions to coagulation kernel for linear chains

Cites Work

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• Gelation in coagulating systems
• Une famille de polynômes ayant plusieurs propriétés enumeratives
• Existence of gelling solutions for coagulation-fragmentation equations
• On the analysis of linear probing hashing
• Linear probing and graphs
• Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
• Singular self-preserving regimes of coagulation processes
• Statistical mechanics of complex networks
• ON AN INFINITE SET OF NON-LINEAR DIFFERENTIAL EQUATIONS
• A Global Existence Theorem for Smoluchowski's Coagulation Equations
• A survey of numerical solutions to the coagulation equation
• Exact particle mass spectrum in a gelling system
• Sol–gel transition in a coagulating mixture
• Formal Power Series
• Time evolution of a random graph
• The effect of coalescence in certain collision processes

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