Correct thermodynamic forces in Tsallis Thermodynamics: connection with   Hill Nanothermodynamics
  The equivalence between Tsallis Thermodynamics and Hill Nanothermodynamics is established. The correct thermodynamic forces in Tsallis thermodynamics are pointed out. Through this connection we also find a general expression for the entropic index $q$ which we illustrate with two physical examples, allowing in both cases to relate $q$ to the underlying dynamics of the Hamiltonian systems. 
V. Garcia-Morales, J. Cervera and J. Pellicer