JournalsaihpdVol. 6, No. 4pp. 489–532

Speed and fluctuations for some driven dimer models

  • Sunil Chhita

    Durham University, UK
  • Patrik L. Ferrari

    Universität Bonn, Germany
  • Fabio L. Toninelli

    Université Lyon 1, Villeurbanne, France
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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.

Cite this article

Sunil Chhita, Patrik L. Ferrari, Fabio L. Toninelli, Speed and fluctuations for some driven dimer models. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 6 (2019), no. 4, pp. 489–532

DOI 10.4171/AIHPD/77