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arXiv · 1705.07641

Speed and fluctuations for some driven dimer models

Sunil Chhita·Patrik L. Ferrari·Fabio Lucio Toninelli
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Abstract

We consider driven dimer models on the square and honeycomb graphs, starting from a stationary Gibbs measure. Each model can be thought of as a two dimensional stochastic growth model of an interface, belonging to the anisotropic KPZ universality class. We use a combinatorial approach to determine the speed of growth and show logarithmic growth in time of the variance of the height function fluctuations.

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Sunil Chhita, Patrik L. Ferrari, Fabio Lucio Toninelli. 2017-05-22. Speed and fluctuations for some driven dimer models. https://doi.org/10.4171/aihpd/77

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