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Higher Dimensional Lattices

  • Christopher ChongEmail author
  • Panayotis G. Kevrekidis
Chapter
Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Abstract

Two-dimensional granular crystals have been investigated far less than 1D configurations. In two spatial dimensions, the nodes can be arranged in a number of ways. While the role of disorder is of particular interest for engineering applications (Behringer RP (2015) Jamming in granular materials. C R Phys 16:10 [1], Liu A, Nagel SR (2010) The jamming transition and the marginally jammed solid. Annu Rev Cond Matter Phys 1:347 [2]) we will focus on ordered configurations, such as hexagonal (see Figs.7.1 a,b) or square packings.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Bowdoin CollegeBrunswickUSA
  2. 2.University of MassachusettsAmherstUSA

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