Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vertical Discontinuities in Self-Affine Surfaces Lead to Multi-affinity   Many systems of both theoretical and applied interest display multi-affine
scaling at small length scales. We demonstrate analytically and numerically
that when vertical discontinuities are introduced into a self-affine surface,
the surface becomes multi-affine. The discontinuities may correspond to surface
overhangs or to an underlying stepped surface. Two surfaces are numerically
examined with different spatial distributions of vertical discontinuities. The
multi-affinity is shown to arise simply from the surface of vertical
discontinuities, and the analytic scaling form at small length scales for the
surface of discontinuities is derived and compared to numerical results.

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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol