Pre-inflation dynamical behavior of warm inflation in loop quantum cosmology

Considering a constant dissipative coefficient Gamma, the pre-inflation dynamical behaviors of warm inflation in the loop quantum cosmology scenario are discussed. We consider three sets of initial conditions. The evolution of the background can always be divided into three phases, namely super-inflation, damping, and slow-roll inflation phases, with the duration of each phase depending on the initial conditions. As an example, we compare the background evolution between Gamma = 0.001mPl and Gamma = 0 under special initial conditions and find that there is no slow-roll inflation phase for Gamma = 0 while the number of e-folds is about 60.209 for Gamma = 0.001m(Pl).