Gradient dynamics and entropy production maximization
  Gradient dynamics describes irreversible evolution by means of a dissipation potential, which leads to several advantageous features like Maxwell--Onsager relations, distinguishing between thermodynamic forces and fluxes or geometrical interpretation of the dynamics. Entropy production maximization is a powerful tool for predicting constitutive relations in engineering. In this paper, both approaches are compared and their shortcomings and advantages are discussed. 
Adam Jane\v{c}ka, Michal Pavelka
physics.flu-dyn math-ph math.MP physics.chem-ph