Damage spreading in the random cluster model

We investigate the damage spreading effect in Fortuin-Kasteleyn random cluster model for 2- and 3-dimensional grids with periodic boundary. For 2D function has a global maximum at p=q/(1+q) all q>0 also local maxima p=1/2 q≲0.75. 3D we observe q≲0.46 q≲4.5. The chaotic phase of model's (p,q)-parameter space is where coupling time exponential order locate points on its lower bound this may be equal to corresponding critical point q-state Potts q≥3.