Negative Specific Heat in a Quasi-2D Generalized Vorticity Model
Abstract
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.
Cite
@article{arxiv.0706.3892,
title = {Negative Specific Heat in a Quasi-2D Generalized Vorticity Model},
author = {T. D. Andersen and C. C. Lim},
journal= {arXiv preprint arXiv:0706.3892},
year = {2009}
}