Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance

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dc.creatorCañizo, José Alfredo
dc.date2007-02-27
dc.date2007-11-19
dc.date.accessioned2026-07-07T08:43:27Z
dc.date.available2026-07-07T08:43:27Z
dc.descriptionUnder the condition of detailed balance and some additional restrictions on the size of the coefficients, we identify the equilibrium distribution to which solutions of the discrete coagulation-fragmentation system of equations converge for large times, thus showing that there is a critical mass which marks a change in the behavior of the solutions. This was previously known only for particular cases as the generalized Becker-Döring equations. Our proof is based on an inequality between the entropy and the entropy production which also gives some information on the rate of convergence to equilibrium for solutions under the critical mass.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0702090
dc.identifierhttp://arxiv.org/abs/math-ph/0702090
dc.identifierJournal of Statistical Physics, Vol. 129, No. 1. (13 October 2007), pp. 1-26
dc.identifierdoi:10.1007/s10955-007-9373-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142323
dc.subjectMathematical Physics
dc.subject82C26
dc.titleConvergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance
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