An analytical solution is given for the kinetics of reversible homogeneous one-dimensionalgrowth, assuming that all association rate constants have the same value k, that all dissociation rate constants are likewise equal to
&, and that the monomer concentration has a constant value, C. Such growth tends to generate a maximally polydisperse ("white") distribution of cluster concentrations ciβ, all approaching a limiting value equal to that of the critical nucleus, cnβ. Continued growth merely increases the range
of cluster sizes over which this white distribution applies. A simple expression is qbtain_ed for the flux βi=nββdtdciββ, which becomes constant and equal to (kCβk)cnβ. The monomer uptake increases with time, and is given approximately by (kCβE)2cnβt