In this paper, the aether field, which leads to the violation of Lorentz
symmetries, coupled with the electromagnetic field is considered. In order to
study thermal and size effects in this theory, the Thermo Field Dynamics (TFD)
formalism is used. TFD is a real-time quantum field theory that has an
interesting topological structure. Here three different topologies are taken,
then three different phenomena are calculated. These effects are investigated
considering that the aether field can point in different directions. The
results obtained are compared with the usual results of the Lorentz invariant
electromagnetic field.Comment: 15 pages, accepted for publication in EPJ