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Exact Partition Functions for the Primitive Droplet Nucleation Model in 2 and 3 Dimensions

H. A. Kastrup
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Abstract

The grand canonical partition functions for primitive droplet nucleation models with an excess energy epsilon_n = - mu n + sigma n^{1-eta}, eta = 1/d, for droplets of n constituents in d dimensions are calculated exacly in closed form in the cases d=2 and 3 for all (complex) mu by exploiting the fact that the partition functions obey simple PDE.

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H. A. Kastrup. 1998-04-07. Exact Partition Functions for the Primitive Droplet Nucleation Model in 2 and 3 Dimensions. https://doi.org/10.1103/physrevlett.81.2280

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