Irreversibility and entropy production in transport phenomena, III-Principle of minimum integrated entropy production including nonlinear responses

► Proposal of a new principle of minimum entropy production in nonlinear cases. ► Introduction of the integrated entropy production different from the Onsager-Prigogine's instantaneous one. ► Applications of our new principle to electric conduction, heat conduction, particle diffusion and chemical reactions. ► Expression of the time derivative of the entropy production by the canonical correlation. ► Proposal of a dissipative Lagrangean to formulate dissipative path integrals.