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On Time Dynamics of Coagulation-Fragmentation Processes

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Abstract

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 coagulation-fragmentation models, which extends the one derived by Hendriks et al. As a by-product of our results, the class of solvable models is widened and a question posed by N. Berestycki and Pitman is answered, under restriction to mean-field models.

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Authors and Affiliations

  1. Department of Mathematics, Technion-Israel Institute of Technology, Haifa, 32000, Israel

    Boris L. Granovsky & Michael M. Erlihson

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  1. Boris L. Granovsky
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  2. Michael M. Erlihson
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Correspondence to Boris L. Granovsky.

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Granovsky, B.L., Erlihson, M.M. On Time Dynamics of Coagulation-Fragmentation Processes. J Stat Phys 134, 567–588 (2009). https://doi.org/10.1007/s10955-008-9671-3

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  • DOI: https://doi.org/10.1007/s10955-008-9671-3

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