Thermo-field dynamics of the Casimir effect and its quantum deformation

The Casimir effect of the deformed cavity field at finite temperature is in vestigated by generalizing the thermofield dynamics formalism into a q-defo rmed version. It has been shown that the impact of q-deformation on the Cas imir force only manifests in the finite-temperature case and the expression for the ideal pure vacuum remains unchanged, which almost coincides with t he suggestions of Man'ko et al. [Phys. Lett. A 176(1993)173] about the natu re of q-oscillators as the nonlinear vibrations of electromagnetic field.