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Positive heat capacity in the microcanonical ensemble

机译:微谐加集合中的正热容量

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摘要

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. (C) 2020 Elsevier B.V. All rights reserved.
机译:热容量的阳极性是热力学平衡中系统热稳定性的标志。 我们表明,对于具有温度的有能量负导数的系统仍然有效,正如微委员会集合所描述的某些系统一样。 演示依赖于考虑Gibbs平衡表面上的轨迹,并在熵能平面上的投影。 Gibbs平衡表面具有凸性特性,但投影可能缺乏该特性,导致能量相对于温度的负导数。 (c)2020 Elsevier B.v.保留所有权利。

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