Abstract
Sub-lattice parallel heat bath dynamics is applied to various one dimensional Solid-On-Solid interface models. The existence of invariant product measures in the gradient variables allows to compute exactly the interface speed as function of the slope. This function can have many convex and concave parts, depending on lattice modulation and unboundedness of the state space. This may be associated with the occurrence of corners in the macroscopic scaling shapes.
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Dunlop, F. Stationary States and Scaling Shapes of One-Dimensional Interfaces. Journal of Statistical Physics 111, 433–442 (2003). https://doi.org/10.1023/A:1022277629205
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DOI: https://doi.org/10.1023/A:1022277629205