BROWSE

Related Scientist

Merab, Malishava's photo.

Merab, Malishava
복잡계 이론물리 연구단
more info

ITEM VIEW & DOWNLOAD

Lyapunov Spectrum Scaling for Classical Many-Body Dynamics Close to Integrability

Cited 0 time in webofscience Cited 0 time in scopus
188 Viewed 0 Downloaded
Title
Lyapunov Spectrum Scaling for Classical Many-Body Dynamics Close to Integrability
Author(s)
Merab Malishava; Sergej Flach
Publication Date
2022-04
Journal
Physical Review Letters, v.128, no.13
Publisher
American Physical Society
Abstract
© 2022 American Physical Society.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.
URI
https://pr.ibs.re.kr/handle/8788114/11435
DOI
10.1103/PhysRevLett.128.134102
ISSN
0031-9007
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
Files in This Item:
There are no files associated with this item.

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse