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Nonlinear response theory for inhomogeneous systems in various ensembles

✍ Scribed by D. Ronis; I. Oppenheim

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
538 KB
Volume
86
Category
Article
ISSN
0378-4371

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✦ Synopsis

Nonlinear equations governing the relaxation of some macroscopic quantities, a(r, t) are derived using Kubo's response theory, in isolated inhomogeneous systems. The resulting equations contain microcanonical time correlation functions. It is shown how to express these in terms of arbitrary ensemble correlation functions and corrections arising from their infinite time behavior are discussed. In addition it is shown that the concept of local equilibrium must be modified somewhat.

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## Abstract A stability criterion for nonlinear oscillations in power systems is proposed. It consists of calculation of a limit cycle by application of Hopf bifurcation theory and nonlinear transformation of the coordinates using invariant manifolds. The proposed method is verified in a single‐mac