Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Polar Nature and Invariance Properties of a Thermomechanical
  Theory for Continuum-on-Continuum Homogenization   This paper makes a rigorous case for considering the homogenized continuum
derived by the Irving-Kirkwood procedure as a polar medium in which the
balances of angular momentum and energy contain contributions due to body
couples and couple stresses defined in terms of the underlying microscopic
state. The paper also addresses the question of invariance of macroscopic
stress and heat flux and form-invariance of the macroscopic balance laws.

29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio