The adiabatic static linear response function in nonextensive statistical mechanics

• The difference between the three generations of the energy constraints is discussed in nonextensive statistical mechanics.
• The isothermal static linear response function is revisited using the third generation of the energy constraint.
• The adiabatic static linear response function is derived in nonextensive statistical mechanics.
• The relation between the isothermal and the adiabatic response function is presented.

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 adiabatic condition. We present the relationship between the isothermal and adiabatic linear response functions.