کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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1859954 | 1037393 | 2010 | 7 صفحه PDF | دانلود رایگان |
The purpose of this Letter is to conjecture a characterization of the anisotropic equipartition state. The anisotropic equipartition state is defined through a phase space density which is uniform on the invariant surface of ξ, where ξ is the ratio between the oscillation energies in the x- and y-directions. It is a version of the ergodic hypothesis where the invariant surface of ξ plays the role of the conserved energy. We show that the anisotropic equipartition state is characterized by the following properties: the development of an elliptical shape with increasing size along the x-direction, the presence of a coupling between transversal emittances, halo formation along a preferential direction, stationarity of the temperature and a growth of the entropy in the cascade form.
Journal: Physics Letters A - Volume 374, Issue 27, 14 June 2010, Pages 2750–2756