Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Momentum conservation implies anomalous energy transport in 1d classical
  lattices   Under quite general conditions, we prove that for classical many-body lattice
Hamiltonians in one dimension (1D) total momentum conservation implies
anomalous conductivity in the sense of the divergence of the Kubo expression
for the coefficient of thermal conductivity, $\kappa$. Our results provide
rigorous confirmation and explanation of many of the existing ``surprising''
numerical studies of anomalous conductivity in 1D classical lattices, including
the celebrated Fermi-Pasta-Ulam problem.

15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas