The nonlinear fragmentation equation

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dc.creatorErnst, M. H.
dc.creatorPagonabarraga, I.
dc.date2007-03-22
dc.date.accessioned2026-07-07T07:56:01Z
dc.date.available2026-07-07T07:56:01Z
dc.descriptionWe study the kinetics of nonlinear irreversible fragmentation. Here fragmentation is induced by interactions/collisions between pairs of particles, and modelled by general classes of interaction kernels, and for several types of breakage models. We construct initial value and scaling solutions of the fragmentation equations, and apply the "non-vanishing mass flux "criterion for the occurrence of shattering transitions. These properties enable us to determine the phase diagram for the occurrence of shattering states and of scaling states in the phase space of model parameters.
dc.descriptionto appear in J. Phys. A
dc.identifierhttps://arxiv.org/abs/cond-mat/0703571
dc.identifierhttp://arxiv.org/abs/cond-mat/0703571
dc.identifierJ. Phys. A: Math. Theor. 40 (2007) F331-F337
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127160
dc.subjectStatistical Mechanics
dc.titleThe nonlinear fragmentation equation
dc.typetext

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