Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hill's Small Systems Nanothermodynamics: A Simple Macromolecular
  Partition Problem with a Statistical Perspective   Using a simple example of biological macromolecules which are partitioned
between bulk solution and membrane, we investigate T.L. Hill's phenomenological
nanothermodynamics for small systems. By introducing a {\em systems size
dependent} equilibrium constant for the bulk-membrane partition, we obtain
Hill's results on differential and integral chemical potentials $\mu$ and
$\hat{\mu}$ from computations based on standard Gibbsian equilibrium
statistical mechanics. It is shown that their difference can be understood from
an equilibrium re-partitioning between bulk and membrane fractions upon a
change in system's size; it is closely related to the system's fluctuations and
inhomogeneity. These results provide a better understanding of the
nanothermodynamics and clarify its logical relation with the theory of
statistical mechanics.

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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: eess