Negative specific heat for quasi-2D vortex structures in electron plasmas: an explicit, closed-form derivation

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dc.creatorAndersen, T. D.
dc.creatorLim, C. C.
dc.date2007-11-20
dc.date2008-02-29
dc.date.accessioned2026-07-07T09:23:41Z
dc.date.available2026-07-07T09:23:41Z
dc.descriptionNegative specific heat is a dramatic phenomenon where processes decrease in temperature when adding energy. It has been observed in gravo-thermal collapse of globular clusters. We now report finding this phenomenon in bundles of nearly parallel, periodic, single-sign generalized vortex filaments in the electron magnetohydrodynamic (EMH) model for the unbounded plane under strong magnetic confinement. We derive the specific heat using a steepest descent method and a mean field property. Our derivations show that as temperature increases, the overall size of the system increases exponentially and the energy drops. The implication of negative specific heat is a runaway reaction, resulting in a collapsing inner core surrounded by an expanding halo of filaments.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0711.3194
dc.identifierhttp://arxiv.org/abs/0711.3194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155824
dc.subjectMathematical Physics
dc.titleNegative specific heat for quasi-2D vortex structures in electron plasmas: an explicit, closed-form derivation
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