%0 Book Section %1 statphys23_0272 %A Gubanov, P.Y.U. %A Maksimov, I.L. %A Morozof, V.P. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K crossover lifshitz ostwald regime ripening slezov statphys23 topic-1 wagner %T Ostwald ripening kinetics:crossover from Wagner's mode to the Lifshitz - Slezov mode %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=272 %X The kinetics of the Ostwald ripening in a homogeneous supersaturated solution is studied both numerically and analytically. The time evolution of the grain - size distribution function in a new phase is theoretically described, taking into account the finite value of the maximal size of a grain. Two situations are considered: the kinetics of grain growth is controlled either by the grain- monomer reaction process (an early stage) or by the monomer diffusion process (a late stage). A transition to the final distribution is shown to take place through an intermediate - asymptotical mode of the Ostwald ripening kinetics, the crossover of the kinetic indices is demonstrated the duration of intermediate stage is evaluated. The criterion for the existence of the crossover effect during the Ostwald ripening stage (from Wagner to Lifshitz - Slezov regime) is obtained. The results of theoretical analysis are comparing with results of experimental studies of the Ostwald ripening kinetics in real materials (Fe-Si-Ti, Ni-Si and etc.).

@incollection{statphys23_0272, abstract = {The kinetics of the Ostwald ripening in a homogeneous supersaturated solution is studied both numerically and analytically. The time evolution of the grain - size distribution function in a new phase is theoretically described, taking into account the finite value of the maximal size of a grain. Two situations are considered: the kinetics of grain growth is controlled either by the grain- monomer reaction process (an early stage) or by the monomer diffusion process (a late stage). A transition to the final distribution is shown to take place through an intermediate - asymptotical mode of the Ostwald ripening kinetics, the crossover of the kinetic indices is demonstrated the duration of intermediate stage is evaluated. The criterion for the existence of the crossover effect during the Ostwald ripening stage (from Wagner to Lifshitz - Slezov regime) is obtained. The results of theoretical analysis are comparing with results of experimental studies of the Ostwald ripening kinetics in real materials (Fe-Si-Ti, Ni-Si and etc.).}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Gubanov, P.Y.U. and Maksimov, I.L. and Morozof, V.P.}, biburl = {https://www.bibsonomy.org/bibtex/2754954c7048ee6fadc2b28f2ce5dee30/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {ecb616d74251332596a0fbafcf0119a5}, intrahash = {754954c7048ee6fadc2b28f2ce5dee30}, keywords = {crossover lifshitz ostwald regime ripening slezov statphys23 topic-1 wagner}, month = {9-13 July}, timestamp = {2007-06-20T10:16:15.000+0200}, title = {Ostwald ripening kinetics:crossover from Wagner's mode to the Lifshitz - Slezov mode}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=272}, year = 2007 }