On Time Dynamics of Coagulation-Fragmentation Processes
نویسندگان
چکیده
منابع مشابه
On time dynamics of coagulation-fragmentation processes
We establish a characterization of coagulation-fragmentation processes, such that the induced birth and death processes depicting the total number of groups at time t ≥ 0 are time homogeneous. Based on this, we provide a characterization of mean-field Gibbs coagulationfragmentation models, which extends the one derived by Hendriks et al. As a byproduct of our results, the class of solvable mode...
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We study the well-posedness of coagulation-fragmentation models with diiusion for large systems of particles. The continuous and the discrete case are considered simultaneously. In the discrete situation we are concerned with a countable system of coupled reaction-diiusion equations, whereas the continuous case amounts to an uncountable system of such equations. These problems can be handled by...
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We propose a novel class of Bayesian nonparametric models for sequential data called fragmentation-coagulation processes (FCPs). FCPs model a set of sequences using a partition-valued Markov process which evolves by splitting and merging clusters. An FCP is exchangeable, projective, stationary and reversible, and its equilibrium distributions are given by the Chinese restaurant process. As oppo...
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Inertial particles suspended in many natural and industrial flows undergo coagulation upon collisions and fragmentation if their size becomes too large or if they experience large shear. Here we study this coagulation-fragmentation process in time-periodic incompressible flows. We find that this process approaches an asymptotic dynamical steady state where the average number of particles of eac...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2009
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-008-9671-3