"We study a single-flip dynamics for the monotone surface in (2 + 1) dimensions. obtained from a boxed plane partition. The surface is analyzed as a system of non-intersecting simple. paths. When the flips have a non-zero bias we prove that there is a positive spectral gap uniformly. in the boundary conditions and in the size of the system. Under the same assumptions, for a system. of size M, the mixing time is shown to be of order M up to logarithmic corrections."
Caputo, P., Martinelli, F., F. L., T. (2011). Convergence to equilibrium of biased plane partitions. RANDOM STRUCTURES & ALGORITHMS, 39(1), 83-114 [10.1002/rsa.20339].