Gibbs-Thomson公式在液滴形成区的证明
A proof of the Gibbs-Thomson formula in the droplet formation regime
摘要：
我们研究两相系统中的平衡液滴在相共存的参数值。具体而言，我们给出了一个独立的微观推导吉布斯-汤姆森公式的压力和密度偏离其平衡值，根据经典热力学的解释，出现由于存在一个弯曲的界面。一般-虽然启发式-推理是由一个严格的证明，在二维伊辛格子气的情况下得到证实。
英文摘要：
We study equilibrium droplets in two-phase systems at parameter values corresponding to phase coexistence. Specifically, we give a self-contained microscopic derivation of the Gibbs-Thomson formula for the deviation of the pressure and the density away from their equilibrium values which, according to the interpretation of the classical thermodynamics, appears due to the presence of a curved interface. The general--albeit heuristic--reasoning is corroborated by a rigorous proof in the case of the two-dimensional Ising lattice gas.
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