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SUMMARY:Localization and fluctuations in non-equilibrium multicomponent co
 agulating systems
DTSTART:20261020T075000Z
DTEND:20261020T085000Z
DTSTAMP:20260929T211700Z
UID:indico-event-16888@indico.math.cnrs.fr
DESCRIPTION:Speakers: Marina Ferreira (IMT)\n\nWe consider the multicompon
 ent Smoluchowski coagulation equation under non-equilibrium conditions ind
 uced either by a source term or via a constant flux constraint. We prove t
 hat the corresponding stationary non-equilibrium solutions have a universa
 l localization property: they asymptotically localize into a direction det
 ermined by the source or by a flux constraint. As a consequence\, the rati
 o between monomers of a given type to the total number of monomers in the 
 cluster becomes ever closer to a predetermined ratio as the cluster size i
 s increased. Moreover\, under an extra symmetry assumption on the coagulat
 ion kernel\, the fluctuations around the localization direction of the quo
 tient of the multicomponent solution and the one-component solution conver
 ge to a multivariate Gaussian probability density function\, which is inde
 pendent of the coagulation kernel. \nThis talk is part of a Seminar serie
 s on Coagulation and fragmentation dynamics (https://indico.math.cnrs.fr/e
 vent/16068/)\, which is itself part of the CIMI Semester Interacting parti
 cles\, PDEs and applications (https://indico.math.cnrs.fr/category/816/). 
 It can however be understood without attending the rest of the series.\n\n
 https://indico.math.cnrs.fr/event/16888/
URL:https://indico.math.cnrs.fr/event/16888/
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