Abstract
This chapter discusses non-stationary nucleation at constant supersaturation. The analysis is confined to a process that occurs according to the Szilard model—solely by monomer attachment to and detachment from the one-component clusters. Mathematically, nucleation is non-stationary when the cluster concentration Zn depends on time t. In doing so, the cluster size n is first treated as a discrete and then as a continuous variable. However, even under conditions ensuring stationarity, the nucleation process cannot become stationary right after the imposition of these conditions—because of the limited speed of the molecular motion, a certain time elapses before the establishment of the stationary population of clusters in the system. The easiest to study is the case of isothermal non-stationary nucleation in a closed system at constant supersaturation Δμ, as then fnm and n* are time-independent. The time scale of the approach to the steady state of a system nucleating isothermally at constant supersaturation Δμ is set up by the time lag of nucleation.
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