Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical mechanical constitutive theory of polymer networks: The
  inextricable links between distribution, behavior, and ensemble   A fundamental theory is presented for the mechanical response of polymer
networks undergoing large deformation which seamlessly integrates statistical
mechanical principles with macroscopic thermodynamic constitutive theory. Our
formulation permits the consideration of arbitrary polymer chain behaviors when
interactions among chains may be neglected. This careful treatment highlights
the naturally occurring correspondence between single-chain mechanical behavior
and the equilibrium distribution of chains in the network, as well as the
correspondences between different single-chain thermodynamic ensembles. We
demonstrate these important distinctions with the extensible freely jointed
chain model. This statistical mechanical theory is then extended to the
continuum scale, where we utilize traditional macroscopic constitutive theory
to ultimately retrieve the Cauchy stress in terms of the deformation and
polymer network statistics. Once again using the extensible freely jointed
chain model, we illustrate the importance of the naturally occurring
statistical correspondences through their effects on the stress-stretch
response of the network. We additionally show that these differences vanish
when the number of links in the chain becomes sufficiently large enough, and
discuss why certain methods perform better than others before this limit is
reached.

5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex