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DC Field | Value | Language |
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dc.contributor.author | Tavassoli, Z | - |
dc.contributor.author | Rodgers, GJ | - |
dc.coverage.spatial | 21 | en |
dc.date.accessioned | 2006-10-30T12:08:58Z | - |
dc.date.available | 2006-10-30T12:08:58Z | - |
dc.date.issued | 1999 | - |
dc.identifier.citation | Eur. Phys. J. B 14: 139-144 (2000) | en |
dc.identifier.uri | http://www.springerlink.com/content/1434-6036/ | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/314 | - |
dc.description.abstract | We study a single, motionless three-dimensional droplet growing by adsorption of diffusing monomers on a 2D substrate. The diffusing monomers are adsorbed at the aggregate perimeter of the droplet with different boundary conditions. Models with both an adsorption boundary condition and a radiation boundary condition, as well as a phenomenological model, are considered and solved in a quasistatic approximation. The latter two models allow particle detachment. In the short time limit, the droplet radius grows as a power of the time with exponents of 1/4, 1/2 and 3/4 for the models with adsorption, radiation and phenomenological boundary conditions, respectively. In the long time limit a universal growth rate as $[t/\ln(t)]^{1/3}$ is observed for the radius of the droplet for all models independent of the boundary conditions. This asymptotic behaviour was obtained by Krapivsky \cite{krapquasi} where a similarity variable approach was used to treat the growth of a droplet with an adsorption boundary condition based on a quasistatic approximation. Another boundary condition with a constant flux of monomers at the aggregate perimeter is also examined. The results exhibit a power law growth rate with an exponent of 1/3 for all times. | en |
dc.format.extent | 334352 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Springer | en |
dc.subject | Statistical mechanics | en |
dc.subject | Soft condensed matter | en |
dc.title | Diffusive growth of a single droplet with three different boundary conditions | en |
dc.type | Research Paper | en |
Appears in Collections: | Mathematical Physics Dept of Mathematics Research Papers Mathematical Sciences |
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Diffusive Growth.pdf | 326.52 kB | Adobe PDF | View/Open |
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