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Some general aspects of nonlinear transport phenomena are discussed on thebasis of two kinds of formulations obtained by extending Kubo's perturbationalscheme of the density matrix and Zubarev's non-equilibrium statistical operatorformulation. Both formulations are extended up to infinite order of an externalforce in compact forms and their relationship is clarified through a directtransformation.

physica a statistical mechanics and its applications

Irreversibility and Entropy Production in Transport Phenomena II --  Statistical-mechanical Theory on Steady States including Thermal Disturbance  and Energy Supply