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arXiv 0706.3892cond-mat.stat-mech
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准二维广义涡度模式中的负Specific Heat

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

T. D. Andersen, C. C. Lim

摘要:

负比热是一种引人注目的现象,其中过程在增加能量时温度降低。在球状星团的重力-热坍缩中也观察到了这种现象。我们现在报告发现这种现象在束的近平行的,周期性的,单符号广义涡丝在电子磁流体动力学(EMH)模型的无界平面下强磁约束。我们使用最速下降法和平均场性质推导出比热。我们的推导表明,随着温度的升高,系统的整体尺寸呈指数增长,能量下降。负比热的含义是一个失控的反应,导致一个坍缩的内核被一个膨胀的丝状晕包围。

英文摘要:

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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