Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The directional contact distance of two ellipsoids: Coarse-grained
  potentials for anisotropic interactions   We obtain the distance of closest approach of the surfaces of two arbitrary
ellipsoids valid at any orientation and separation, measured along their
inter-center vector. This directional distance is derived from the Elliptic
Contact Function. The geometric meaning behind this approach is clarified. An
elliptic pair potential for modelling arbitrary mixtures of elliptic particles,
whether hard or soft, is proposed based on this distance. Comparisons to
Gay-Berne potentials are discussed. Analytic expressions for the forces and
torques acting on the elliptic particles are given.

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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: math
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: econ
3
The categories of this paper are: physics