Exact Partition Functions for the Primitive Droplet Nucleation Model in 2 and 3 Dimensions
Statistical Mechanics
2009-01-23 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.cond-mat/9803269,
title = {Exact Partition Functions for the Primitive Droplet Nucleation Model in 2 and 3 Dimensions},
author = {H. A. Kastrup},
journal= {arXiv preprint arXiv:cond-mat/9803269},
year = {2009}
}
Comments
10 pages, Latex; References and a cross-check of the main result - unchanged - added, misprints corrected