  We study the dynamics of condensation of the inclusion process on a
one-dimensional periodic lattice in the thermodynamic limit, generalising
recent results on finite lattices for symmetric dynamics. Our main focus is on
totally asymmetric dynamics which have not been studied before, and which we
also compare to exact solutions for symmetric systems. We identify all relevant
dynamical regimes and corresponding time scales as a function of the system
size, including a coarsening regime where clusters move on the lattice and
exchange particles, leading to a growing average cluster size. Suitable
observables exhibit a power law scaling in this regime before they saturate to
stationarity following an exponential decay depending on the system size. Our
results are based on heuristic derivations and exact computations for symmetric
systems, and are supported by detailed simulation data.
