  In this work we focus on the gravitationally influenced adiabatic particle
creation process, a mechanism that does not need any dark energy or modified
gravity models to explain the current accelerating phase of the universe.
Introducing some particle creation models that generalize some previous models
in the literature, we constrain the cosmological scenarios using the latest
compilation of the Type Ia Supernovae data only, the first indicator of the
accelerating universe. Aside from the observational constraints on the models,
we examine the models using two model independent diagnoses, namely the
cosmography and $Om$. Further, we establish the general conditions to test the
thermodynamic viabilities of any particle creation model. Our analysis shows
that at late-time, the models have close resemblance to that of the
$\Lambda$CDM cosmology, and the models always satisfy the generalized second
law of thermodynamics under certain conditions.
