Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Weighted Mean Curvature Derivative of a Space-Filling Diagram   Representing an atom by a solid sphere in $3$-dimensional Euclidean space, we
get the space-filling diagram of a molecule by taking the union. Molecular
dynamics simulates its motion subject to bonds and other forces, including the
solvation free energy. The morphometric approach [HRC13,RHK06] writes the
latter as a linear combination of weighted versions of the volume, area, mean
curvature, and Gaussian curvature of the space-filling diagram. We give a
formula for the derivative of the weighted mean curvature. Together with the
derivatives of the weighted volume in [EdKo03], the weighted area in [BEKL04],
and the weighted Gaussian curvature [AkEd19], this yields the derivative of the
morphometric expression of the solvation free energy.

29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn