Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Thermal Discrete Dipole Approximation (T-DDA) for near-field
  radiative heat transfer simulations in three-dimensional arbitrary geometries   A novel numerical method called the Thermal Discrete Dipole Approximation
(T-DDA) is proposed for modeling near-field radiative heat transfer in
three-dimensional arbitrary geometries. The T-DDA is conceptually similar to
the Discrete Dipole Approximation, except that the incident field originates
from thermal oscillations of dipoles. The T-DDA is described in details in the
paper, and the method is tested against exact results of radiative conductance
between two spheres separated by a sub-wavelength vacuum gap. For all cases
considered, the results calculated from the T-DDA are in good agreement with
those from the analytical solution. When considering frequency-independent
dielectric functions, it is observed that the number of sub-volumes required
for convergence increases as the sphere permittivity increases. Additionally,
simulations performed for two silica spheres of 0.5 micrometer-diameter show
that the resonant modes are predicted accurately via the T-DDA. For separation
gaps of 0.5 micrometer and 0.2 micrometer, the relative differences between the
T-DDA and the exact results are 0.35% and 6.4%, respectively, when 552
sub-volumes are used to discretize a sphere. Finally, simulations are performed
for two cubes of silica separated by a sub-wavelength gap. The results revealed
that faster convergence is obtained when considering cubical objects rather
than curved geometries. This work suggests that the T-DDA is a robust numerical
approach that can be employed for solving a wide variety of near-field thermal
radiation problems in three-dimensional geometries.

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The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an