Subcritical, critical and supercritical size distributions in random coagulation-fragmentation processes
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Publication:928242
DOI10.1007/s10114-007-0978-9zbMath1141.60063OpenAlexW2042500308MaRDI QIDQ928242
Dong Han, Xin Sheng Zhang, Wei An Zheng
Publication date: 11 June 2008
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-007-0978-9
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Markov processes (60J99)
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Coagulation Processes with Gibbsian Time Evolution ⋮ The asymptotic behavior in a reversible random coagulation-fragmentation polymerization process with sub-exponential decay ⋮ Deterministic and Stochastic Becker–Döring Equations: Past and Recent Mathematical Developments
Cites Work
- The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation.
- Asymptotic formula for a partition function of reversible coagulation-fragmentation processes
- The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
- Instantaneous gelation in coagulation dynamics
- Existence of gelling solutions for coagulation-fragmentation equations
- Polymers and random graphs
- Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
- The equilibrium behavior of reversible coagulation-fragmentation processes
- Smoluchowski's coagulation equation: Uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent
- Subcritical asymptotic behavior in the thermodynamic limit of reversible random polymerization processes.
- Random tree-type partitions as a model for acyclic polymerization: Holtsmark (3/2-stable) distribution of the supercritical gel
- CONVERGENCE PROPERTIES OF A STOCHASTIC MODEL FOR COAGULATION-FRAGMENTATION PROCESSES WITH DIFFUSION
- An existence theorem for the discrete coagulation-fragmentation equations
- A Global Existence Theorem for Smoluchowski's Coagulation Equations
- Analytical solutions of Smoluschowski's coagulation equation
- A necessary and sufficient condition for gelation of a reversible Markov process of polymerization
- The asymptotic distributions of the size of the largest length of a reversible Markov process of polymerization
- Approximative solution of the coagulation–fragmentation equation by stochastic particle systems
- Post-gelation solutions to Smoluchowski's coagulation equation
- Existence, Uniqueness and Mass Conservation for the Coagulation-Fragmentation Equation
- Chance and Stability
