  In an accelerated exclusion process (AEP), each particle can "hop" to its
adjacent site if empty as well as "kick" the frontmost particle when joining a
cluster of size $\ell \leq \ell_\text{max}$. With various choices of the
interaction range, $\ell_\text{max}$, we find that the steady state of AEP can
be found in a homogeneous phase with augmented currents (AC) or a segregated
phase with holes moving at unit velocity (UV). Here we present a detailed study
on the emergence of the novel phases, from two perspectives: the AEP and a mass
transport process (MTP). In the latter picture, the system in the UV phase is
composed of a condensate in coexistence with a fluid, while the transition from
AC to UV can be regarded as condensation. Using Monte Carlo simulations, exact
results for special cases, and analytic methods in a mean field approach
(within the MTP), we focus on steady state currents and cluster sizes.
Excellent agreement between data and theory is found, providing an insightful
picture for understanding this model system.
