Normal diffusion in crystal structures and higher-dimensional billiard models with gaps

Details Normal diffusion in crystal structures and higher-dimensional billiard models with gaps Normal diffusion in crystal structures and higher-dimensional billiard models with gaps

2008-08-16

arxiv.org/abs/0808.2235v2

Phys. Rev. E 78(6), 060101(R) (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures. v2: Minor revisions, references added

Scientific paper

10.1103/PhysRevE.78.060101

We show, both heuristically and numerically, that three-dimensional periodic Lorentz gases -- clouds of particles scattering off crystalline arrays of hard spheres -- often exhibit normal diffusion, even when there are gaps through which particles can travel without ever colliding, i.e., when the system has an infinite horizon. This is the case provided that these gaps are not "too big", as measured by their dimension. The results are illustrated with simulations of a simple three-dimensional model having different types of diffusive regime, and are then extended to higher-dimensional billiard models, which include hard-sphere fluids.

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