Anomalous discontinuity at the percolation critical point of active gels
  We develop a percolation model motivated by recent experimental studies of gels with active network remodeling by molecular motors. This remodeling was found to lead to a critical state reminiscent of random percolation (RP), but with a cluster distribution inconsistent with RP. Our model not only can account for these experiments, but also exhibits an unusual type of mixed phase transition: We find that the transition is characterized by signatures of criticality, but with a discontinuity in the order parameter. 
M. Sheinman, A. Sharma, J. Alvarado, G. H. Koenderink, F. C.   MacKintosh
cond-mat.stat-mech cond-mat.soft