Embedding Quasicrystals in a Periodic Cell: Dynamics in Quasiperiodic Structures

作者:Kraemer Atahualpa S*; Sanders David P
来源:Physical Review Letters, 2013, 111(12): 125501.
DOI:10.1103/PhysRevLett.111.125501

摘要

We introduce a construction to %26quot;periodize%26quot; a quasiperiodic lattice of obstacles, i.e., embed it into a unit cell in a higher-dimensional space, reversing the projection method used to form quasilattices. This gives an algorithm for simulating dynamics, as well as a natural notion of uniform distribution, in quasiperiodic structures. It also shows the generic existence of channels, where particles travel without colliding, up to a critical obstacle radius, which we calculate for a Penrose tiling. As an application, we find superdiffusion in the presence of channels, and a subdiffusive regime when obstacles overlap.

  • 出版日期2013-9-18