Wave Turbulence and thermalization in one-dimensional chains

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...

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Bibliographic Details
Published inPhysics reports Vol. 1040; pp. 1 - 36
Main Authors Onorato, M., Lvov, Y.V., Dematteis, G., Chibbaro, S.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.11.2023
Elsevier
Subjects
Fermi–Pasta–Ulam–Tsingou problem
One-dimensional chains
Physics
Thermalization
Wave kinetic equation
Wave turbulence
One-dimensional chains
Wave turbulence
Fermi–Pasta–Ulam–Tsingou problem
Wave kinetic equation
Thermalization
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Summary: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 at the route of thermalization of 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.
ISSN:0370-1573
1873-6270
DOI:10.1016/j.physrep.2023.09.006