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Stochastic Growth in a Small World

B. Kozma·G. Korniss
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Abstract

We considered the Edwards-Wilkinson model on a small-world network. We studied the finite-size behavior of the surface width by performing exact numerical diagonalization for the underlying coupling matrix. We found that the spectrum exhibits a gap or a pseudo-gap, which is responsible for a finite width in the thermodynamic limit for an arbitrarily weak but nonzero magnitude of the random interactions.

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B. Kozma, G. Korniss. 2003-05-01. Stochastic Growth in a Small World. https://arxiv.org/abs/cond-mat/0305025

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