Email this article Dispersion of scale-invariant size-distribution functions
- Authors: Dubrovskii V.G.1,2,3
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Affiliations:
- St. Petersburg Academic University
- Ioffe Physical Technical Institute
- St. Petersburg National Research University of Information Technologies, Mechanics, and Optics
- Issue: Vol 43, No 5 (2017)
- Pages: 413-415
- Section: Article
- URL: https://bakhtiniada.ru/1063-7850/article/view/204494
- DOI: https://doi.org/10.1134/S1063785017050029
- ID: 204494
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Abstract
It is shown that the size-distribution function of nanostructures, which obeys scale invariance (scaling), always displays a dispersion proportional to the square of the average size. Theoretical analysis is carried out for the shape and dispersion of a biparametric scale-invariant distribution describing the growth of homogeneous or heterogeneous nanoobjects with monomer capture rates proportional to their size. It is found that the Gaussian distribution is replaced by a broader and asymmetric distribution upon a decrease in the nucleation probability.
About the authors
V. G. Dubrovskii
St. Petersburg Academic University; Ioffe Physical Technical Institute; St. Petersburg National Research University of Information Technologies, Mechanics, and Optics
Author for correspondence.
Email: Dubrovskii@mail.ioffe.ru
Russian Federation, St. Petersburg, 194021; St. Petersburg, 194021; St. Petersburg, 197101
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