Nonlinear Response Theory
In recent years there has been significant progress in the molecular derivations of transport equations describing the time dependences of macroscopic variables in non-equilibrium systems. One of the most powerful approaches has been linear response theory which has been developed and extensively applied by Kubo (1) and by others (2,3). The aims of this theory, as well as those of the other molecular approaches, are the following: to obtain the form of the macroscopic equations; to obtain explicit molecular expressions for the coefficients appearing in these equations usually in the form of correlation functions; to determine the range of validity of the equations; to extend the range of validity of the equations to more complicated situations; and to compare the transport equations with those obtained phenomenologically using hydrodynamics, thermodynamics of irreversible processes, etc.
KeywordsCorrelation Function Transport Equation Canonical Ensemble Linear Response Theory Dissipative Coefficient
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