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arXiv · 1309.5409

Scaling and width distributions of parity conserving interfaces

M. Arlego·M. D. Grynberg
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Abstract

We present an alternative finite-size approach to a set of parity conserving interfaces involving attachment, dissociation, and detachment of extended objects in 1+1 dimensions. With the aid of a nonlocal construct introduced by Barma and Dhar in related systems [Phys. Rev. Lett. 73, 2135 (1994)], we circumvent the subdiffusive dynamics and examine close-to-equilibrium aspects of these interfaces by assembling states of much smaller, numerically accessible scales. As a result, roughening exponents, height correlations, and width distributions exhibiting universal scaling functions are evaluated for interfaces virtually grown out of dimers and trimers on large-scale substrates. Dynamic exponents are also studied by finite-size scaling of the spectrum gaps of evolution operators.

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M. Arlego, M. D. Grynberg. 2013-11-28. Scaling and width distributions of parity conserving interfaces. https://doi.org/10.1103/physreve.88.052408

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