Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Partition Functions for the Primitive Droplet Nucleation Model in
  2 and 3 Dimensions   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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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
16
The categories of this paper are: stat
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga