Lorentz-violating scenarios in a thermal reservoir

In this work, we analyze the thermodynamic properties of the graviton and the generalized model involving anisotropic Podolsky and Lee-Wick terms with Lorentz violation. We build up the so-called partition function from the accessible states of the system seeking the following thermodynamic functions: spectral radiance, mean energy, Helmholtz free energy, entropy and heat capacity. Besides, we verify that when the temperature rises, the spectral radiance chi(nu) tends to attenuate for fixed values of xi. Notably, when parameter eta 2 increases, the spectral radiance (chi) over bar(eta 2,nu) weakens until reaching a flat characteristic. Finally, for both theories, we perform the calculation of the modified black body radiation and the correction to the Stefan-Boltzmann law in the inflationary era of the universe.