Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heat conduction in a 1D harmonic chain with three dimensional vibrations   We study vibrational energy transport in a quasi 1-D harmonic chain with both
longitudinal and transverse vibrations. We demonstrate via both numerical
simulation and theoretic analysis that for 1-D atomic chain connected by 3D
harmonic springs, the coefficient of heat conduction changes it continuously
with its lattice constant, indicating the qualitative difference from the
corresponding 1-D case where the coefficient is independent of the lattice
constant.

16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph