Inflation from a chaotic potential with a step

In this work, we study the effects on relevant observational parameters of an inflationary universe from a chaotic potential with step. We numerically evolve perturbation equations within both cold inflation and warm inflation. On one hand, in scenario analyse scalar power spectrum $P_{\mathcal{R}}$ terms number e-folds $N_{e}$, ratio $k/k_{0}$, where $k_{0}$ is our pivot scale. show how oscillates around $0.2< k/k_{0} < 20$. Additionally, present evolution two parameters: spectral index $n_\mathrm{s}$ tensor-to-scalar $r$. fact, more than region $(n_\mathrm{s},r)$ lies observable window (Planck 2018). other case, also examine $N_{e}$ $k/k_{0}$. Perturbations are amplified WI; can be much larger CMB value $P_{\mathcal{R}}> 2.22\times 10^{-9}$. This time, clearly blue-tilted, at smaller scales, $r$ becomes too low. However, change blue-tilted towards red-tilted, since starts oscillating $k/k_{0}\sim 40$. Indeed, result step skims Planck contours. Finally, key aspect research was to contrast features between paradigms, and, they similarities differences. Due featured background combined effect entropy fluctuations (only inflation), scenarios certain fluctuation scales not longer ``freeze in'' super-horizon scales.