On Tsallis nonequilibrium entropy evolution
  In this paper we derived a 6N dimensional non-homogeneous evolution equation of Tsallis non-equilibrium entropy; presented a formula for entropy production rate (i.e. the law of entropy increase) for Tsallis entropy only when its index q>0, otherwise the law of entropy increase does not hold when q<0 or q=0. 
Xing Xiu-San
cond-mat.stat-mech