 On the Condensation and fluctuations in reversible coagulation–fragmentation modelsWen Sun Stochastic Processes and their Applications, 2026, vol. 192, issue C Abstract: We study the condensation phenomenon for the invariant measures of the mean-field model of reversible coagulation–fragmentation processes conditioned to a supercritical density of particles. It is shown that when the parameters of the associated balance equation satisfy a subexponential tail condition, there is a single giant particle that corresponds to the missing mass in the macroscopic limit. We also show that in this case, the rest of the particles are asymptotically i.i.d according to the normalised equilibrium state of the limit hydrodynamic differential equation. Conditions for the normal fluctuations and the α-stable fluctuations around the condensed mass are given. We obtain the large deviation principle for the empirical measure of the masses of the particles at equilibrium as well. Keywords: Condensation; Coagulation–fragmentation; Subexponential distribution; Large deviation principle; Becker–Döring model; Bose–Einstein’s condensation (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:192:y:2026:i:c:s0304414925002728 Ordering information: This journal article can be ordered from DOI: 10.1016/j.spa.2025.104828 Access Statistics for this article Stochastic Processes and their Applications is currently edited by T. Mikosch More articles in Stochastic Processes and their Applications from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.