Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Hookean statistical mechanics of clamped graphene ribbons   Thermally fluctuating sheets and ribbons provide an intriguing forum in which
to investigate strong violations of Hooke's Law: large distance elastic
parameters are in fact not constant, but instead depend on the macroscopic
dimensions. Inspired by recent experiments on free-standing graphene
cantilevers, we combine the statistical mechanics of thin elastic plates and
large-scale numerical simulations to investigate the thermal renormalization of
the bending rigidity of graphene ribbons clamped at one end. For ribbons of
dimensions $W\times L$ (with $L\geq W$), the macroscopic bending rigidity
$\kappa_R$ determined from cantilever deformations is independent of the width
when $W<\ell_\textrm{th}$, where $\ell_\textrm{th}$ is a thermal length scale,
as expected. When $W>\ell_\textrm{th}$, however, this thermally renormalized
bending rigidity begins to systematically increase, in agreement with the
scaling theory, although in our simulations we were not quite able to reach the
system sizes necessary to determine the fully developed power law dependence on
$W$. When the ribbon length $L > \ell_p$, where $\ell_p$ is the $W$-dependent
thermally renormalized ribbon persistence length, we observe a scaling collapse
and the beginnings of large scale random walk behavior.

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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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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: q-fin
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The categories of this paper are: dg-ga
2
The categories of this paper are: math
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas