论文标题

微型典型合奏中的正热容量

Positive heat capacity in the microcanonical ensemble

论文作者

de Oliveira, Mário J.

论文摘要

热容量的阳性是热力学平衡中系统热稳定性的标志。我们表明,这种特性对于温度衍生物负衍生物的系统仍然有效,就像微型集合合奏所描述的某些系统一样。该示范基于考虑吉布斯平衡表面上的轨迹,并在熵能能上的投影。 Gibbs平衡表面具有凸的性质,但是投影可能缺乏该特性,导致能量对温度的负衍生物。

The positivity of the heat capacity is the hallmark of thermal stability of systems in thermodynamic equilibrium. We show that this property remains valid for systems with negative derivative of energy with respect to temperature, as happens to some system described by the microcanonical ensemble. The demonstration rests on considering a trajectory on the Gibbs equilibrium surface, and its projection on the entropy-energy plane. The Gibbs equilibrium surface has the convexity property, but the projection might lack this property, leading to a negative derivative of energy with respect to temperature.

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