A fast algorithm for solving the multiparticle diffusion problem (MDP) is described, permitting simulation of coarsening dynamics by cyclic time-stepping and updating the diffusion solution for large random particle arrays. The rate constants controlling the growth of the average particle and particle distribution functions were obtained by numerical simulations up to a volume fraction of 0. 55. A new statistical mean field theory has been developed which reproduces the MDP simulation data accurately and makes clear how the linear mean-field approximations must be modified to describe real systems. The predictions compare favorably with experimental measurements made over a wide range of volume fraction solid of the kinetics of Ostwald ripening in liquid phase sintered Fe-Cu alloys.
|Original language||English (US)|
|Number of pages||8|
|Journal||Metallurgical transactions. A, Physical metallurgy and materials science|
|State||Published - Jun 1 1984|
|Event||Act and Liq Phase Sintering of Refract Met and Their Compd - Atlanta, Ga, USA|
Duration: Mar 9 1983 → Mar 9 1983
ASJC Scopus subject areas