Renormalization group reduction of non-integrable Hamiltonian systems

DOI10.1088/1367-2630/4/1/306zbMATH Open1033.81035arXivphysics/0107065OpenAlexW2008112184MaRDI QIDQ4435345

Publication date: 30 November 2003

Published in: New Journal of Physics (Search for Journal in Brave)

Abstract: Based on the Renormalization Group method, a reduction of non integrable 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 degree of freedom dynamical system has been studied in detail.

Full work available at URL: https://arxiv.org/abs/physics/0107065

zbMATH Keywords

modulational diffusion angle-averaged phase space one-and-a-half-degree-of-freedom dynamical system

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Renormalization group methods applied to problems in quantum field theory (81T17) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (8)

Renormalized Mori–Zwanzig-reduced models for systems without scale separation ⋮ Renormalization invariance of a Hamiltonian system near the saddle point. ⋮ q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics ⋮ KAM -- renormalization-group for Hamiltonian systems with two degrees of freedom ⋮ A renormalization group for Hamiltonians: numerical results ⋮ Renormalization of multidimensional Hamiltonian flows ⋮ Renormalization group approach to quantum Hamiltonian dynamics ⋮ Universality from resonance renormalization of Hamiltonian maps

This page was built for publication: Renormalization group reduction of non-integrable Hamiltonian systems

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4435345)