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On the classification of phase mixing in collisionless stellar systems

В. А. АнтоновInstitute for Theoretical Astronomy , St. Petersburg, RussiaС. Н. НуритдиновAstronomy Department , Tashkent University , UzbekistanL. P. OssipkovInstitute of Computional Mathematics and Processes of Control , St. Petersburg, State University, Russia

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Abstract A classification of various kinds of mixing in collisionless stellar systems is suggested. An increase of the quasi-entropy (i.e. a functional S* = ∫ C(f*)d 3rd 3v where f*(r, v) is the coarse-grained distribution function and C(f*) is an arbitrary convex function) is an unavoidable feature of any mixing.

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