Thermodynamic Framework for $q$-Affinity (opens in new tab)

We develop a thermodynamic framework for non-equilibrium affinities based on generalized entropies. In particular, we extend the classical concept of De Donder by introducing $q$-affinities associated with R\'enyi and Tsallis entropies. This in turn allows us to generalize thermodynamic driving forces to systems with long-range interactions and/or strong correlations. For R\'enyi entropy, we build on a thermodynamic interpretation due to Baez, w...