Fluctuations provide strong selection in Ostwald ripening

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 3, 1999, Pages 3072-3075

  Meerson, Baruch ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

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EID: 0000128810     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.3072     Document Type: Article

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30. As a side remark, we note that a reasonable choice of the exponents p and q is very important in mean-field models of many nonequilibrium growth processes, such as submonolayer epitaxial growth. In these models an additional driving term (deposition rate) appears in Eq. (5) 14. As we have shown, the problem of “arrested deposition” (that is, relaxation to equilibrium) that we consider in this work enables one to calculate these exponents for large clusters (and for a low coverage) by mapping the problem into a well-studied macroscopic problem of OR.
31. Indeed, the second derivative with respect to s includes an additional small factor of order (Formula presented) that decreases with time. Here (Formula presented) is the characteristic value of s (for example, the average number of particles in a cluster).
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