Energy of infinite vortex lattices
- 1 May 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 39 (10) , 5436-5439
- https://doi.org/10.1103/physreva.39.5436
Abstract
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.Keywords
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