Dynamics of dense lattices.
Dynamics of dense lattices.
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DOI：
10.1103/physrevb.36.5868
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发表时间：
1987-10
期刊：
影响因子：
--
通讯作者：
P. Rosenau;P. Rosenau
中科院分区：
文献类型：
--
作者：
P. Rosenau;P. Rosenau
我们推导了在接近连续条件下（即，密集晶格）。所描述的方法正确地捕捉到一个给定的顺序离散的所有条款，与以前的方法不同，导致这些问题的表现良好的偏微分方程。一般来说，离散性产生的色散抵消了非线性引起的波的陡化，并导致永久非线性结构的形成。
We derive the equations governing the nonlinear dynamics of one-, two-, and three-dimensional lattices in a close to continuum condition (i.e., a dense lattice). The described method correctly captures all terms to a given order in discreteness and, unlike previous approaches, leads to well-behaved partial-differential equations for these problems. In general, the dispersion born out of discreteness counteracts the steepening of waves caused by the nonlinearity and leads to the formation of permanent nonlinear structures.