Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher derivative free energy terms and interfacial curvatures   High derivative terms do not play a major role in field theories because of
the associated complexity and inherent difficulty in connecting these terms to
physically measurable quantities. A role for higher derivative terms is
analyzed for the case of field theories used to describe phase separated
systems. In these theories, higher derivative terms are directly connected to
an interfacial free energy which contains the mean and the Gaussian curvature
and are shown to determine explicitly the shape of the interface.

18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph