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Merab, Malishava
복잡계 이론물리 연구단
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Thermalization dynamics of macroscopic weakly nonintegrable maps

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Title
Thermalization dynamics of macroscopic weakly nonintegrable maps
Author(s)
Merab Malishava; Sergej Flach
Publication Date
2022-06
Journal
CHAOS, v.32, no.6
Publisher
AIP Publishing
Abstract
We study thermalization of weakly nonintegrable nonlinear unitary lattice dynamics. We identify two distinct thermalization regimes close to the integrable limits of either linear dynamics or disconnected lattice dynamics. For weak nonlinearity, the almost conserved actions correspond to extended observables which are coupled into a long-range network. For weakly connected lattices, the corresponding local observables are coupled into a short-range network. We compute the evolution of the variance sigma(2) ( T ) of finite time average distributions for extended and local observables. We extract the ergodization time scale T E which marks the onset of thermalization, and determine the type of network through the subsequent decay of sigma(2) ( T ). We use the complementary analysis of Lyapunov spectra [M. Malishava and S. Flach, Phys. Rev. Lett. 128, 134102 (2022)] and compare the Lyapunov time T lambda with T E. We characterize the spatial properties of the tangent vector and arrive at a complete classification picture of weakly nonintegrable macroscopic thermalization dynamics. Published under an exclusive license by AIP Publishing.
URI
https://pr.ibs.re.kr/handle/8788114/12297
DOI
10.1063/5.0092032
ISSN
1054-1500
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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