Table of Contents
Symmetry, Volume 9, Issue 1 (January 2017)
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Cover Story (view full-size image) The border lines of terraces in vicinal surfaces and the shape of diffusion-limited eroding [...] Read more. The border lines of terraces in vicinal surfaces and the shape of diffusion-limited eroding surfaces are described by the same underlying mathematical model. The roughness of these interfaces obeys Family–Viscek scaling with dynamical exponent z=1. Although the continuum equation of the surface height is non-local, it has an infinite-dimensional dynamical symmetry which is isomorphic to the direct sum of three centre-less Virasoro algebras. The explicit construction of this symmetry involves spatially non-local Lie algebra generators. View the paper