Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anisotropic Transport for Parabolic, Non-Parabolic and Linear Bands of
  Different Dimensions   Anisotropic thermoelectrics is a very interesting topic among recent
research. The transport distribution function plays the central role on
modeling the anisotropic thermoelectrics. The methodology of numerical
integrations is used in previous literature on anisotropic transport, which
does not capture the sharp change of transport distribution function and
density of states at band edges. However, the sharp change of transport
distribution function and density of states at band edges plays the central
role in enhancing the thermoelectric performance. Thus, an analytical
methodology that is robust on modeling the sharp change of transport
distribution function and density of states at a band edges is needed. To our
best knowledge, there has not been a paper giving the systematic study on the
analytical models of anisotropic transport distribution function for different
kinds of band valleys in different dimensions under different assumptions.
Therefore, the main focus of this present paper is to develop such a robust
analytical methodology on modeling the anisotropic transport distribution
function. So our contributions are 1) we have developed a systematic method on
model the anisotropic transport distribution function, for 3D, 2D and 1D
systems, in parabolic, non-parabolic and linear dispersion relations, under
both the relaxation time approximation and the mean free path approximation; 2)
we have found that the Onsage's relation of transport can be violated under
certain conditions; 3) we have compared our newly developed methodology with
the traditional used numerical methodology.

19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph