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dc.contributor.authorNiemiec, M.-
dc.contributor.authorOlchawa, W.-
dc.contributor.authorŁuczka, Jerzy-
dc.identifier.citationActa Physica Polonica B, Vol. 36, no. 5 (2005), s. 1715-1725pl_PL
dc.description.abstractIn the classical theory of diffusion limited growth, it is assumed that the concentration field of solution is described by the standard diffusion equation. It means that particles of the solution undergo a random walk described by the Wiener process. In turn, it means that the velocity of particles is a stochastic process being Gaussian white noise. In consequence, the velocity–velocity correlation function is the Dirac -function and velocity correlation time is zero. In many cases such modeling is insufficient and one should consider models in which velocity is correlated in space and/or time. The question is whether correlations of velocity can change the kinetics of growth, in particular, whether the long-time asymptotics of the growth kinetics displays the power-law time dependence with the classical exponent 1/2. How to model such processes is a subject of this paper.pl_PL
dc.rightsUznanie autorstwa 3.0 Polska*
dc.subjectteoria i modele wzrostu kryształówpl_PL
dc.subjectfizyka i chemia wzrostu kryształówpl_PL
dc.subjectmorfologia kryształówpl_PL
dc.subjectprocesy losowepl_PL
dc.subjectruchy Brownapl_PL
dc.titleOn modeling of growth processes driven by velocity fluctuationspl_PL
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