Transformations of Perturbations into Responses

In the global equilibrium state, when all constituent subsystems are mutually open, the transformations of infinitesimal displacements (perturbations) of the global and local parameters of state, which determine the Legendre transformed representation under consideration, into differentials of the respective conjugate state-variables (responses) can be summarized in terms of the following matrix integral equations [4,5,8,12,13]  

The inverse, /a, p]-representation gives rise to the following transformation  

In the case of the [N — p) = p -representation the perturbations — responses transformation similarly reads  

Finally, within the p, v - or [-representation, the softness kernel defines the transformation  

When the constituent subsystems are mutually closed (in molecular fragment resolution), the corresponding matrices of charge sensitivities replace the global quantities in the corresponding four perturbation — response transformations  

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