  The paper deals with non-equilibrium thermodynamics based on adiabatic
particle creation mechanism with the motivation of considering it as an
alternative choice to explain the recent observed accelerating phase of the
universe. Using Friedmann equations, it is shown that the deceleration
parameter ($q$) can be obtained from the knowledge of the particle production
rate ($\Gamma$). Motivated from thermodynamical point of view, cosmological
solutions are evaluated for the particle creation rates in three cosmic phases,
namely, inflation, matter dominated and present late time acceleration. The
deceleration parameter ($q$) is expressed as a function of the redshift
parameter ($z$), and its variation is presented graphically. Also, statefinder
analysis has been presented graphically in three different phases of the
universe. Finally, two non-interacting fluids with different particle creation
rates are considered as cosmic substratum, and deceleration parameter ($q$) is
evaluated. It is examined whether more than one transition of $q$ is possible
or not by graphical representations.
