Wave Turbulence and thermalization in one-dimensional chains
Wave Turbulence and thermalization in one-dimensional chains
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DOI：
10.1016/j.physrep.2023.09.006
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发表时间：
2023-05
期刊：
影响因子：
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通讯作者：
M. Onorato;Y. Lvov;G. Dematteis;S. Chibbaro
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文献类型：
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作者：
M. Onorato;Y. Lvov;G. Dematteis;S. Chibbaro
一维链被用作凝聚态物质的基本模型，并构成了非线性物理和复杂系统关键发展的起点。这一领域的开创性工作是由费米、帕斯塔、乌拉姆和钦古于50年代在洛斯阿拉莫斯提出的。在过去的70年里，进行了深入而富有成果的数学和物理研究。最近，通过波湍流方法的透镜，对这种系统的热化途径的机制进行了新的研究。在这篇评论中，我们给出了一个关键的总结，在这个框架中获得的结果。我们还提出了一系列未来工作需要解决的开放性问题和挑战。
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.