Filling of three-dimensional space by two-dimensional sheet growth.
Filling of three-dimensional space by two-dimensional sheet growth.
复制标题
通过二维片生长填充三维空间。
DOI：
10.1103/physreve.92.042106
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Etzold MA
中科院分区：
文献类型：
--
作者：
Etzold MA
提出了基于二维片增长的三维空间填充模型。从片材的平面伊甸园式生长开始，引入了额外的生长模式。这些使得片材能够形成层状或无序结构。增长模式也可以组合。提出了一种基于离格动力学蒙特卡罗的计算机算法，并用于研究新模型和所得结构的动力学。可以通过任意方向的片材在三维域中通过二维生长来研究空间填充；结果与之前发布的模型一致，其中薄片只能在有限的方向上生长。分叉机制的引入产生了复杂的无序结构，这些结构作为硬化水泥浆体中硅酸钙水合物介观结构的模型结构很有意义。
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.