Smoothing a Rock by Chipping

Details Smoothing a Rock by Chipping Smoothing a Rock by Chipping

2006-11-15

arxiv.org/abs/cond-mat/0611408v2

Phs. Rev. E 75, 031119 (2007)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 10 figures, 2-column revtex4 format; version 2: final published form in PRE; contains minor changes in response to re

Scientific paper

10.1103/PhysRevE.75.031119

We investigate an idealized model for the size reduction and smoothing of a polygonal rock due to repeated chipping at corners. Each chip is sufficiently small so that only a single corner and a fraction of its two adjacent sides are cut from the object in a single chipping event. After many chips have been cut away, the resulting shape of the rock is generally anisotropic, with facet lengths and corner angles distributed over a broad range. Although a well-defined shape is quickly reached for each realization, there are large fluctuations between realizations.

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