Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Indirect interactions of membrane-adsorbed cylinders   Biological and biomimetic membranes often contain aggregates of embedded or
adsorbed macromolecules. In this article, the indirect interactions of
cylindrical objects adhering to a planar membrane are considered theoretically.
The adhesion of the cylinders causes a local perturbation of the equilibrium
membrane shape, which leads to membrane-mediated interactions. For a planar
membrane under lateral tension, the interaction is repulsive for a pair of
cylinders adhering to the same side of the membrane, and attractive for
cylinders adhering at opposite membrane sides. For a membrane in an external
harmonic potential, the interaction of adsorbed cylinders is always attractive
and increases if forces perpendicular to the membrane act on the cylinders.

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The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc