Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Casimir effect for a dilute dielectric ball at finite temperature   The Casimir effect at finite temperature is investigated for a dilute
dielectric ball; i.e., the relevant internal and free energies are calculated.
The starting point in this study is a rigorous general expression for the
internal energy of a system of noninteracting oscillators in terms of the sum
over the Matsubara frequencies. Summation over the angular momentum values is
accomplished in a closed form by making use of the addition theorem for the
relevant Bessel functions. For removing the divergences the renormalization
procedure is applied that has been developed in the calculation of the
corresponding Casimir energy at zero temperature. The behavior of the
thermodynamic characteristics in the low and high temperature limits is
investigated.

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The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat