Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Violation of Fourier's law in homogeneous systems   Hotspot is a ubiquitous phenomenon in microdevices/chips. In homogeneous
nanoscale graphene disk with a hotspot, a graded thermal conductivity is
observed previously even when the system size is fixed. However, the underlying
physical mechanism is not clear. In this work, the hotspots in homogeneous 2D
disk/3D ball and graphene disk are studied based on phonon Boltzmann transport
equation. The mechanisms of phonon scattering are analyzed. It is found that
for a system with fixed size, the graded thermal conductivity is predictable as
long as there is not sufficient phonon scattering, which is independent on
material properties, dimensions or system size. This work may shed light on
both theoretical and experimental studies on heat dissipation of
microelectronics.

1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn