Exact Partition Functions for the Primitive Droplet Nucleation Model in 2 and 3 Dimensions
arXiv:cond-mat/9803269 · doi:10.1103/PhysRevLett.81.2280
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.
10 pages, Latex; References and a cross-check of the main result - unchanged - added, misprints corrected