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

作     者：Merlin A. Etzold Peter J. McDonald David A. Faux Alexander F. Routh 

作者机构：BP-Institute University of Cambridge Madingley Road Cambridge CB3 0EZ United Kingdom Department of Physics University of Surrey Guildford Surrey GU2 7XH United Kingdom 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2015年第92卷第4期

页      面：042106-042106页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

基　　金：Engineering and Physical Sciences Research Council, EPSRC Engineering and Physical Sciences Research Council, EPSRC, (EP/H035397/1) Engineering and Physical Sciences Research Council, EPSRC European Commission, EC, (264448) European Commission, EC 

主　　题：Layer structure (Solids) Monte Carlo method Computer algorithms Bifurcation theory Numerical analysis 

摘      要：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.