论文标题
晶格晶体的成核和生长
Nucleation and growth of lattice crystals
论文作者
论文摘要
提出了一个差异晶格模型来定义单个点（成核）的演化，按照周长的“最大化”标准。在离散的级别上，进化具有“棋盘”结构，其形状受定义耗散项的规范的选择影响。对于量表的每一个选择，都证明了离散方案与以恒定速度扩展的集合的融合。
A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of "maximization" of the perimeter. At a discrete level, the evolution has a "checkerboard" structure and its shape is affected by the choice of the norm defining the dissipation term. For every choice of the scales, the convergence of the discrete scheme to a family of expanding sets with constant velocity is proved.
