Friday, June 1, 2012

1205.6956 (V. A. Malyshev)

Fine structure of one-dimensional discrete point system    [PDF]

V. A. Malyshev
We consider the system of $N$ points on the segment of the real line with the nearest-neighbor Coulomb repulsive interaction and external force $F$. For the fixed points of such systems (fixed configurations) we study the asymptotics (in $N$ and $l$) of finite differences of order $l$. Classical theory of finite differences is extensively used.
View original: http://arxiv.org/abs/1205.6956

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