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29 March 2024
 
  » arxiv » 1007.3055

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Ewald Sums for One Dimension
Bruce N. Miller ; Jean-Louis Rouet ;
Date 19 Jul 2010
AbstractWe derive analytic solutions for the potential and field for a one-dimensional system of masses or charges with periodic boundary conditions, i.e Ewald sums for one dimension. We also provide a set of tools for exploring the system evolution and show that it’s possible to construct an efficient algorithm for carrying out simulations. In the cosmological setting we show that two approaches for satisfying periodic boundary conditions, one overly specified and the other completely general, provide a nearly identical clustering evolution until the number of clusters becomes small, at which time the influence of any size-dependent boundary cannot be ignored. Finally we compare the results with other recent work with the hope of providing clarification over differences these issues have induced.
Source arXiv, 1007.3055
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