Renormalization Group Reduction of Non Integrable Hamiltonian Systems

Tzenov, Stephan I.

Princeton University. Plasma Physics Laboratory.

关键词: Diffusion;    Amplitudes;    70 Plasma Physics And Fusion Technology;    Degrees Of Freedom;    Hamiltonians;   

DOI  :  10.2172/798173
RP-ID  :  PPPL-3693.pdf
RP-ID  :  AC02-76CH03073
RP-ID  :  798173

美国|英语

来源: UNT Digital Library

【 摘 要 】

Based on Renormalization Group method, a reduction of non integratable multi-dimensional Hamiltonian systems has been performed. The evolution equations for the slowly varying part of the angle-averaged phase space density and for the amplitudes of the angular modes have been derived. It has been shown that these equations are precisely the Renormalization Group equations. As an application of the approach developed, the modulational diffusion in one-and-a-half degrees of freedom dynamical system has been studied in detail.