We analyze the difference between the three generations of the energy constraint in nonextensive statistical mechanics. Using the third generation of the energy constraint, we revise the isothermal static linear response function and then derive the static linear response function under the...

The Green–Kubo relation, the Einstein relation, and the fluctuation–response relation are representative universal relations among measurable quantities that are valid in the linear response regime. We provide pedagogical proofs of these universal relations for stochastic many-body systems....

The Kubo theory of linear response is extended with respect to reference states, being excited far off equilibrium. Using the time dependent projector technique, generalized response functions are introduced. The structure of the corresponding evolution equations is mainly determined by the...