Since the set of self-similar asymptotics in addition to Lifshitz-Slyozov’s [1] and Wagner’s [2] ones were found computationally and analytically [3] in the theory of Ostwald ripening, the problem of time corrections to these asymptotics raised and to this day it wasn’t resolved properly and complet...
Since the set of self-similar asymptotics in addition to Lifshitz-Slyozov’s [1] and Wagner’s [2] ones were found computationally and analytically [3] in the theory of Ostwald ripening, the problem of time corrections to these asymptotics raised and to this day it wasn’t resolved properly and completely.
Considering the perturbation theory for the complete system of equations for the diffusion-controlled Ostwald ripening, we got first-order power corrections to the concentration of metastable phase, to the critical radius of drops and we found explicit form of self-similar correcting distribution functions that have power decay to their asymptotics. Their normalization and scaling, which depends on experimental parameters, were obtained computationally. Limiting Lifshitz-Slyozov’s case was represented individually and it got formal similarities with the work [4].
References
1. M.Lifshitz, V.Slyozoz // ZhETF, v. 35, p. 479 (1958).
2. C.Wagner // Z. Electrochem, v. 65, p. 581 (1961).
3. B.Giron, B.Meerson, P.Sasorov // Phys. Rev. E, v. 58, p. 4213 (1998)
4. J.Marqusee, J.Ross // J. Chem. Phys., v. 79, №1 (1983)
