Energy of infinite vortex lattices.
Energy of infinite vortex lattices.
复制标题
无限涡晶格的能量。
DOI：
--
复制
发表时间：
1989
期刊：
影响因子：
--
通讯作者：
Kadtke
中科院分区：
文献类型：
--
作者：
Campbell;Doria;Kadtke
导出了在任意单元格中具有任意数量的任意强度的点涡（或其他对数对象）的晶格的能量密度表达式。结果以适于数值计算的快速收敛级数形式表示。在简单的情况下，分别改变单元格的形状和尺寸的影响被显示，三角形晶格的能量被计算为滑移位移的函数。
An expression is derived for the energy density of a lattice of point vortices (or other logarithmic objects) having an arbitrary number of vortices of arbitrary strengths in an arbitrary unit cell. The result is expressed in the form of a rapidly convergent series well suited for numerical evaluation. The effects of separately changing the shape and dimensions of the unit cell are shown for simple cases, and the energy of the triangular lattice is calculated as a function of slip displacement.