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

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

1998-03-22

arxiv.org/abs/cond-mat/9803269v2

Phys.Rev.Lett.81:2280-2283,1998

Physics

Condensed Matter

Statistical Mechanics

10 pages, Latex; References and a cross-check of the main result - unchanged - added, misprints corrected

Scientific paper

10.1103/PhysRevLett.81.2280

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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