Asymptotic Distribution of Eigenvalues for a Self-Affine String

Details Asymptotic Distribution of Eigenvalues for a Self-Affine String Asymptotic Distribution of Eigenvalues for a Self-Affine String

1999-09-07

arxiv.org/abs/cond-mat/9909094v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTeX 6 pages (including 4 figures)

Scientific paper

We consider a string with fixed endpoints where the mass density and/or the
elastic coefficient vary in a self-affine way as function of position. It is
demonstrated how the eigenvalues in the asymptotic limit are distributed.
Scaling laws for the Weyl term of the asymptotic integrated density of states
is established and confirmed numerically.

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