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복잡계 이론물리 연구단
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Thermalization in the one-dimensional Salerno model lattice

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Title
Thermalization in the one-dimensional Salerno model lattice
Author(s)
Mithun, Thudiyangal; Aleksandra Maluckov; Manda, Bertin Many; Skokos, Charalampos; Bishop, Alan; Saxena, Avadh; Khare, Avinash; Kevrekidis, Panayotis G.
Publication Date
2021-03
Journal
PHYSICAL REVIEW E, v.103, no.3
Publisher
AMER PHYSICAL SOC
Abstract
The Salerno model constitutes an intriguing interpolation between the integrable Ablowitz-Ladik (AL) model and the more standard (nonintegrable) discrete nonlinear Schrodinger (DNLS) one. The competition of local on-site nonlinearity and nonlinear dispersion governs the thermalization of this model. Here, we investigate the statistical mechanics of the Salerno one-dimensional lattice model in the nonintegrable case and illustrate the thermalization in the Gibbs regime. As the parameter interpolating between the two limits (from DNLS toward AL) is varied, the region in the space of initial energy and norm densities leading to thermalization expands. The thermalization in the non-Gibbs regime heavily depends on the finite system size; we explore this feature via direct numerical computations for different parametric regimes.
URI
https://pr.ibs.re.kr/handle/8788114/9896
DOI
10.1103/PhysRevE.103.032211
ISSN
2470-0045
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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