Surface energies in nonconvex discrete systems
Surface energies in nonconvex discrete systems
复制标题
非凸离散系统中的表面能
DOI：
10.1142/s0218202507002182
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发表时间：
2007
影响因子：
3.5
通讯作者：
M. Cicalese
中科院分区：
文献类型：
--
作者：
Andrea Braides;M. Cicalese
本文分析了当能量密度为多阱或Lennard-Jones型时，一维次近邻（NNN）离散系统在晶格尺寸趋于零时的变分极限。适当地标度能量，我们研究了几种现象，如边界层的形成和相变。我们还研究了Dirichlet边界条件下NNN模型基态渐近行为的局部图案和反相变的存在。我们使用这些信息来证明Lennard-Jones型势的情况下的断裂结果的本地化。
We analyze the variational limit of one-dimensional next-to-nearest neighbours (NNN) discrete systems as the lattice size tends to zero when the energy densities are of multiwell or Lennard–Jones type. Properly scaling the energies, we study several phenomena as the formation of boundary layers and phase transitions. We also study the presence of local patterns and of anti-phase transitions in the asymptotic behaviour of the ground states of NNN model subject to Dirichlet boundary conditions. We use this information to prove a localization of fracture result in the case of Lennard–Jones type potentials.