GENERIC framework for reaction diffusion systems
  The GENERIC theory provides a framework for the description of non-equilibrium phenomena in isolated systems beyond local thermal equilibrium and beyond linear non-equilibrium (i.e., linear relations between thermodynamic forces and currents). The framework is applied to some simple and general systems: reactions with detailed balance and Fokker-Planck (FP) equation. It is shown how to apply the theory to a combination of system and reservoir in the case of the FP equation. 
Miguel Hoyuelos
cond-mat.stat-mech