Wave Turbulence and thermalization in one-dimensional chains

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Titel: Wave Turbulence and thermalization in one-dimensional chains
Autoren: Onorato, M., Lvov, Y.V., Dematteis, G., Chibbaro, S.
Quelle: Physics Reports
Publication Status: Preprint
Verlagsinformationen: Elsevier BV, 2023.
Publikationsjahr: 2023
Schlagwörter: Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, Condensed Matter - Statistical Mechanics
Beschreibung: One-dimensional chains are used as a fundamental model of condensed matter, and have constituted the starting point for key developments in nonlinear physics and complex systems. The pioneering work in this field was proposed by Fermi, Pasta, Ulam and Tsingou in the 50s in Los Alamos. An intense and fruitful mathematical and physical research followed during these last 70 years. Recently, a fresh look at the mechanisms of thermalization in such systems has been provided through the lens of the Wave Turbulence approach. In this review, we give a critical summary of the results obtained in this framework. We also present a series of open problems and challenges that future work needs to address.
arXiv admin note: text overlap with arXiv:1811.05697 by other authors
Publikationsart: Article
Sprache: English
ISSN: 0370-1573
DOI: 10.1016/j.physrep.2023.09.006
DOI: 10.48550/arxiv.2305.18215
Zugangs-URL: http://arxiv.org/abs/2305.18215
Rights: Elsevier TDM
arXiv Non-Exclusive Distribution
Dokumentencode: edsair.doi.dedup.....ad6d9bd26f133fe5f3e090272e722d87
Datenbank: OpenAIRE
Beschreibung
Abstract:One-dimensional chains are used as a fundamental model of condensed matter, and have constituted the starting point for key developments in nonlinear physics and complex systems. The pioneering work in this field was proposed by Fermi, Pasta, Ulam and Tsingou in the 50s in Los Alamos. An intense and fruitful mathematical and physical research followed during these last 70 years. Recently, a fresh look at the mechanisms of thermalization in such systems has been provided through the lens of the Wave Turbulence approach. In this review, we give a critical summary of the results obtained in this framework. We also present a series of open problems and challenges that future work needs to address.<br />arXiv admin note: text overlap with arXiv:1811.05697 by other authors
ISSN:03701573
DOI:10.1016/j.physrep.2023.09.006