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Статья опубликована в журнале из перечня ВАК
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 13 января 2015 г.
Аннотация:A new approach to the study of spinodal decomposition for a scalar field is proposed. The approach is based on treating this process as a relaxation of the one-time correlation function G(q,t)=∫dr <Φ(0,t)Φ(r,t)> exp(i q•r), which plays the role of an independent dynamical object (a unique two-point order parameter). The dynamical equation for G(q,t) (the Langevin equation in correlation-function space) is solved exactly in the one-loop approximation, which is the zeroth approximation in the approach proposed. This makes it possible to trace the asymptotic behavior of G(q,t) at long and intermediate times t (from the moment of onset of the spinodal decomposition). The values obtained for the power-law growth exponents for the height and position of the peak in G(q,t) at the intermediate stage is in satisfactory agreement with the data obtained by a number of authors through numerical simulation of the corresponding stochastic equations describing the relaxation of the local order parameter.