Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear Poisson effect governed by mechanical critical transition   Under extensional strain, fiber networks can exhibit an anomalously large and
nonlinear Poisson effect accompanied by a dramatic transverse contraction and
volume reduction for applied strains as small as a few percent. We demonstrate
that this phenomenon is controlled by a collective mechanical phase transition
that occurs at a critical uniaxial strain that depends on network connectivity.
This transition is punctuated by an anomalous peak in the apparent Poisson's
ratio and other critical signatures such as diverging nonaffine strain
fluctuations.

24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an