(397b) Thermodynamics of out of Equilibrium Steady States

Ever since its introduction two centuries ago, thermodynamics plays a central role in our understanding of equilibrium systems and in the development of multiple key technologies. Still, non-equilibrium phenomena have so far escaped the formalism of thermodynamics. We recently introduced the first law of non-equilibrium thermodynamics for steady-state flow of heat in ideal [J. Chem. Phys. 157, 194108 (2022)] and in van der Waals gases [Entropy 2023, 25, 1295.]. We represented internal energy as a function of parameters of state, as in classical thermodynamics. In the talk, we will discuss such thermodynamic description for steady-state hydrodynamic flows, e.g., Rayleigh-Benard convection and for the Coutte flow. If the proposed theory will prove valid for hydrodynamic systems, it will provide a breakthrough in our tools for understanding non-equilibrium systems, including e.g. the phenomenology of turbulence.