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arXiv · 1910.12573

Ballistic resonance and thermalization in Fermi-Pasta-Ulam-Tsingou chain at finite temperature

Vitaly A. Kuzkin·Anton M. Krivtsov
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Abstract

We study conversion of thermal energy to mechanical energy and vice versa in $\alpha$-Fermi-Pasta-Ulam-Tsingou~(FPUT) chain with spatially sinusoidal profile of initial temperature. We show analytically that coupling between macroscopic dynamics and quasiballistic heat transport gives rise to mechanical vibrations with growing amplitude. This new phenomenon is referred to as "ballistic resonance". At large times, these mechanical vibrations decay monotonically, and therefore the well-known FPUT recurrence paradox occurring at zero temperature is eliminated at finite temperatures.

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BibTeXRIS

Vitaly A. Kuzkin, Anton M. Krivtsov. 2019-10-28. Ballistic resonance and thermalization in Fermi-Pasta-Ulam-Tsingou chain at finite temperature. https://doi.org/10.1103/physreve.101.042209

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