Random sequential adsorption with diffusional relaxation in two dimensions

E. Eisenberg; A. Baram

doi:10.1209/epl/i1998-00452-6

Random sequential adsorption with diffusional relaxation in two dimensions

E. Eisenberg^*, A. Baram

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

The time dependence of the RSAD filling process on the 2D square lattice is investigated for two exclusion models. It is shown that the long-time filling is via a one-dimension-like process, and consequently the asymptotic behavior of the density is O(t^-1/2) as in the 1D case. In both models considered the limiting density is that of closest packing, in the thermodynamic limit. However, in the next-nearest-neighbours exclusion model the limiting configuration is a polycrystalline one.

Original language	English
Pages (from-to)	168-172
Number of pages	5
Journal	Europhysics Letters
Volume	44
Issue number	2
DOIs	https://doi.org/10.1209/epl/i1998-00452-6
State	Published - 15 Oct 1998
Externally published	Yes

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abstract = "The time dependence of the RSAD filling process on the 2D square lattice is investigated for two exclusion models. It is shown that the long-time filling is via a one-dimension-like process, and consequently the asymptotic behavior of the density is O(t-1/2) as in the 1D case. In both models considered the limiting density is that of closest packing, in the thermodynamic limit. However, in the next-nearest-neighbours exclusion model the limiting configuration is a polycrystalline one.",

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Random sequential adsorption with diffusional relaxation in two dimensions

Abstract

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