Correct thermodynamic forces in Tsallis thermodynamics: connection with Hill nanothermodynamics

Abstract: The equivalence between Tsallis thermodynamics and Hill''s 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. [Copyright &y& Elsevier]