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Zero-range processes with decreasing jump rates are well known to exhibit acondensation transition under certain conditions on the jump rates, and thedynamics of this transition continues to be a subject of current researchinterest. Starting from homogeneous initial conditions, the time evolution ofthe condensed phase exhibits an interesting coarsening phenomenon of masstransport between cluster sites characterized by a power law. We revisit theapproach in [C. Godreche, J. Phys. A: Math. Gen., 36(23) 6313 (2003)] to deriveeffective single site dynamics which form a non-linear birth death chaindescribing the coarsening behaviour. We extend these results to a larger classof parameter values, and introduce a size-biased version of the single siteprocess, which provides an effective tool to analyze the dynamics of thecondensed phase without finite size effects and is the main novelty of thispaper. Our results are based on a few heuristic assumptions and exactcomputations, and are corroborated by detailed simulation data.

Coarsening dynamics in condensing zero-range processes and size-biased birth death chains