Wave Turbulence and thermalization in one-dimensional chains
arXiv:2305.18215 · doi:10.1016/j.physrep.2023.09.006
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.
arXiv admin note: text overlap with arXiv:1811.05697 by other authors
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- Spatio-temporal thermalization and adiabatic cooling of guided light waves
- Adiabatic Gauge Potential as a Tool for Detecting Chaos in Classical Systems
- Large-deviations approach to thermalization: the case of harmonic chains with conservative noise
- From Near-Integrable to Far-from-Integrable: A Unified Picture of Thermalization and Heat Transport
- Irreversible thermalization vs reversible dynamics mediated by anomalous correlators: Wave turbulence theory and experiments in optical fibers