Abstract
The classical L.S.W. theory for particle coarsening was originally developed by Lifshitz and Slezov and by Wagner and indicates that all initial particle size distributions (P.S.D.'s) gradually develop to just one universal distribution having a highly asymmetric shape. The present paper re-examines the L.S.W. theory and shows that there are a large number of possible P.S.D.'s corresponding to true steady state conditions. All distributions will show a cubic growth law but the growth constant will be different for different distributions. An arbitrary initial P.S.D. will develop into a steady state distribution that has a similar distribution at large radius values. If the initial distribution gradually tails off at large radii then the distribution that develops will also tail off in the same way. If the initial distribution is truncated at large particle radii, then a stepped form of P.S.D. will develop and this will tend to approach the L.S.W. distribution at long times.
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