Statistics of linear polymer chains in the self-avoiding walks model
A strict statistics of self avoiding random walks in d-dimensional discrete (lattice) and continuous space is proposed. Asymptotic analytical expressions for the distribution and distribution density of corresponding random values characterizing a conformational state of polymer chain have been...
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| Date: | 2001 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2001
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| Series: | Condensed Matter Physics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/120427 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Statistics of linear polymer chains in the self-avoiding walks model / Yu.G. Medvedevskikh // Condensed Matter Physics. — 2001. — Т. 4, № 2(26). — С. 209-218. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | A strict statistics of self avoiding random walks in d-dimensional discrete
(lattice) and continuous space is proposed. Asymptotic analytical expressions
for the distribution and distribution density of corresponding random
values characterizing a conformational state of polymer chain have been
obtained and their quantitative estimation has been given. It is shown that
conformation of polymer chain possesses a structure of spherical or, more
commonly, of elliptical shell diffusely blurred both outside and inside the
polymer coil, which nucleus is statistically void and has a radius of about
half of Flory radius. Statistics of self-avoiding walks describes completely
an effect of excluded volume and meets the terms of Flory method in
Pietronero’s concepti. |
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