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

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.

arXiv comment6 pages; 5 figures

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• Unsteady thermal transport in an instantly heated semi-infinite free end Hooke chain
• Heat Transport Hysteresis Generated through Frequency Switching of a Time-Dependent Temperature Gradient
• Neuromorphic heat transport effects in a molecular junction