Kinetic models of heterogeneous dissipation

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dc.creatorHolm, Darryl D.
dc.creatorPutkaradze, Vakhtang
dc.creatorTronci, Cesare
dc.date2007-12-03
dc.date.accessioned2026-07-07T10:13:31Z
dc.date.available2026-07-07T10:13:31Z
dc.descriptionWe suggest kinetic models of dissipation for an ensemble of interacting oriented particles, for example, moving magnetized particles. This is achieved by introducing a double bracket dissipation in kinetic equations using an oriented Poisson bracket, and employing the moment method to derive continuum equations for magnetization and density evolution. We show how our continuum equations generalize the Debye-Hueckel equations for attracting round particles, and Landau-Lifshitz-Gilbert equations for spin waves in magnetized media. We also show formation of singular solutions that are clumps of aligned particles (orientons) starting from random initial conditions. Finally, we extend our theory to the dissipative motion of self-interacting curves.
dc.description28 pages, 2 figures. Submitted to J. Phys. A
dc.identifierhttps://arxiv.org/abs/0712.0397
dc.identifierhttp://arxiv.org/abs/0712.0397
dc.identifierdoi:10.1088/1751-8113/41/34/344010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172556
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectPattern Formation and Solitons
dc.titleKinetic models of heterogeneous dissipation
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