Va. Shneidman et P. Hanggi, MICROSCOPIC REVERSIBILITY AND THE NONLINEAR EINSTEIN-ONSAGER RELATIONIN MACROSCOPIC DESCRIPTION OF NUCLEATION, Journal of statistical physics, 78(1-2), 1995, pp. 431-439
We investigate the possibility of describing fluctuational decay of a
metastable phase macroscopically, without a detailed knowledge of the
microscopic kinetics. Using the ideas of microscopic reversibility, we
construct a hydrodynamic-type equation which describes the buildup of
fluctuations in the region of subcritical sizes. An equation of Ornst
ein-Uhlenbeck type is used to bridge this equation with the one descri
bing unstable growth of larger (overcritical) fluctuations. An explici
t time-dependent solution to the proposed system of equations is deriv
ed in the spirit of the singular perturbation technique. It is shown t
hat this solution also accurately approximates the solution of the Far
kas-Becker-Doring master equation, so that the macroscopic level of de
scription is consistent with the underlying models.