Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Generalization of Local Thermodynamics of Inhomogeneous Fluids to
  Arbitrary Spatial Scales   In order to provide a formally correct thermodynamical description of
inhomogeneous fluids valid on all length scales down to the classical limit we
postulate that all extensive quantities have locally extensive analogues. We
derive local thermodynamic relations for the canonical and isothermal- isobaric
ensembles without limitations with respect to the nature of intermolecular
interactions. The inhomogeneity of the system is shown to result in two
distinct entropic contributions. The intrinsic contribution is due the specific
distribution of local environments experienced by a single molecule while the
extrinsic one originates exclusively from the local variation of the density
from its bulk value.

28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th