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Helical boundary conditions : ウィキペディア英語版
Helical boundary conditions
In mathematics, helical boundary conditions are a variation on periodic boundary conditions. Helical boundary conditions provide a method for determining the index of a lattice site's neighbours when each lattice site is indexed by just a single coordinate. On a lattice of dimension ''d'' where the lattice sites are numbered from 1 to ''N'' and ''L'' is the width (i.e. number of elements per row) of the lattice in all but the last dimension, the neighbors of site ''i'' are:
* (i \pm 1) \mod N
* (i \pm L) \mod N
* \ldots
* (i \pm L^) \mod N
It is not necessary that ''N'' = ''L''''d''. Helical boundary conditions make it possible to use only one coordinate to describe arbitrary-dimensional lattices.
==References==

* (''Monte Carlo Methods in Statistical Physics'', Mark E. J. Newman, G. T. Barkema )

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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