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Filling of three-dimensional space by two-dimensional sheet growth.


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Authors

Etzold, Merlin A 
McDonald, Peter J 
Faux, David A 
Routh, Alexander F 

Abstract

Models of three-dimensional space filling based on growth of two-dimensional sheets are proposed. Beginning from planar Eden-style growth of sheets, additional growth modes are introduced. These enable the sheets to form layered or disordered structures. The growth modes can also be combined. An off-lattice kinetic Monte Carlo-based computer algorithm is presented and used to study the kinetics of the new models and the resulting structures. It is possible to study space filling by two-dimensional growth in a three-dimensional domain with arbitrarily oriented sheets; the results agree with previously published models where the sheets are only able to grow in a limited set of directions. The introduction of a bifurcation mechanism gives rise to complex disordered structures that are of interest as model structures for the mesostructure of calcium silicate hydrate in hardened cement paste.

Description

Keywords

0905 Civil Engineering

Journal Title

Phys Rev E Stat Nonlin Soft Matter Phys

Conference Name

Journal ISSN

1539-3755
1550-2376

Volume Title

92

Publisher

American Physical Society (APS)
Sponsorship
Engineering and Physical Sciences Research Council (EP/H035397/1)
European Commission (264448)
This research was supported by the European Union Seventh Framework Programme (FP7/2007-2013) under grant agreement 264448. AFR was supported by EPSRC grant EP/H035397/1.