Negative Specific Heat in a Quasi-2D Generalized Vorticity Model

Details Negative Specific Heat in a Quasi-2D Generalized Vorticity Model Negative Specific Heat in a Quasi-2D Generalized Vorticity Model

2007-06-26

arxiv.org/abs/0706.3892v2

Physics

Condensed Matter

Statistical Mechanics

12 pages, 3 figures; updated with revisions

Scientific paper

10.1103/PhysRevLett.99.165001

Negative 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.

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