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Lyapunov Spectrum Scaling for Classical Many-body Dynamics Close to Integrability by Malishava, Merab; Flach, Sergej is a scholarly article available to read on EtoBox.

What is Lyapunov Spectrum Scaling for Classical Many-body Dynamics Close to Integrability about?

We propose a novel framework to characterize the thermalization of many-body dynamical systems close to integrable limits using the scaling properties of the full Lyapunov spectrum. We use a classical unitary map model to investigate macroscopic weakly nonintegrable dynamics beyond the limits set by the KAM regime. We perform our analysis in two fundamentally distinct long-range and short-range integrable limits which stem from the type of nonintegrable perturbations. Long-range limits result in a single parameter scaling of the Lyapunov spectrum, with the inverse largest Lyapunov exponent being the only diverging control parameter and the rescaled spectrum approaching an analytical function. Short-range limits result in a dramatic slowing down of thermalization which manifests through the rescaled Lyapunov spectrum approaching a non-analytic function. An additional diverging length scale controls the exponential suppression of all Lyapunov exponents relative to the largest one.

Author

Malishava, Merab; Flach, Sergej

Published

2021

Language

EN