  In this work, we study the interaction of quantum gases in Lorentz-violating
scenarios considering both boson and fermion sectors. In the latter case, we
investigate the consequences of a system governed by scalar, vector,
pseudovector and tensor operators. Besides, we examine the implications of
$\left( \hat{k}_{a}\right) ^{\kappa }$ and $\left( \hat{k}_{c}\right) ^{\kappa
\xi }$ operators for the boson case as well. For doing so, we regard the grand
canonical ensemble seeking the so-called partition function, which suffices to
provide analytically the calculations of interest, i.e., mean particle number,
entropy, mean total energy and pressure. Furthermore, in low temperature
regime, such quantities converge until reaching a similar behavior being in
contrast with what is shown in high temperature regime, which brings out the
differentiation of their effects. In addition, particle number, entropy and
energy exhibit an extensive characteristic even in the presence of Lorentz
violation. Finally, for peseudovector and tensor operators, we notice a
remarkable feature due to the breaking process of spin degeneracy: the system
turns out to have greater energy and particle number for the spin-down
particles in comparison with spin-up ones.
