Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elasticity of a semiflexible filament with a discontinuous tension due
  to a cross-link or a molecular motor   We analyze the stretching elasticity of a wormlike chain with a tension
discontinuity resulting from a Hookean spring connecting its backbone to a
fixed point. The elasticity of isolated semiflexible filaments has been the
subject in a significant body of literature, primarily because of its relevance
to the mechanics of biological matter. In real systems, however, these
filaments are usually part of supramolecular structures involving cross-linkers
or molecular motors which cause tension discontinuities. Our model is intended
as a minimal structural element incorporating such a discontinuity. We obtain
analytical results in the weakly bending limit of the filament, concerning its
force-extension relation and the response of the two parts in which the
filament is divided by the spring. For a small tension discontinuity, the
linear response of the filament extension to this discontinuity strongly
depends on the external tension. For large external tension $f$, the spring
force contributes a subdominant correction $\sim 1/f^{3/2}$ to the well known
$\sim 1/\sqrt{f}$ dependence of the end-to-end extension.

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The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs