Upper bound for the time derivative of entropy for nonequilibrium   stochastic processes
  We have shown how the intrinsic properties of a noise process can set an upper bound for the time derivative of entropy in a nonequilibrium system. The interplay of dissipation and the properties of noise processes driving the dynamical systems in presence and absence of external forcing, reveals some interesting extremal nature of the upper bound. 
Bidhan Chandra Bag