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arXiv · 1712.01720

Roughening of $k$-mer growing interfaces in stationary regimes

M. D. Grynberg·F. I. Schaposnik Massolo
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Abstract

We discuss the steady state dynamics of interfaces with periodic boundary conditions arising from body-centered solid-on-solid growth models in $1+1$ dimensions involving random aggregation of extended particles (dimers, trimers,\,$\cdots,k$-mers). Roughening exponents as well as width and maximal height distributions can be evaluated directly in stationary regimes by mapping the dynamics onto an asymmetric simple exclusion process with $k$-\,type of vacancies. Although for $k \ge 2$ the dynamics is partitioned into an exponentially large number of sectors of motion, the results obtained in some generic cases strongly suggest a universal scaling behavior closely following that of monomer interfaces.

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BibTeXRIS

M. D. Grynberg, F. I. Schaposnik Massolo. 2018-01-31. Roughening of $k$-mer growing interfaces in stationary regimes. https://doi.org/10.1103/physreve.97.022125

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