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Recurrence in a periodically driven and weakly damped Fermi-Pasta-Ulam-Tsingou chain
1Shanxi University, College of Physics and Electronic Engineering, Taiyuan 030006, China.
Physical Review. E
|April 18, 2026
Summary
Researchers found Fermi-Pasta-Ulam-Tsingou (FPUT)-like recurrence in driven FPUT chains. This coherent nonlinear dynamics in open systems may guide experiments for long-lived quasiperiodic states.
Area of Science:
- Nonlinear Dynamics
- Condensed Matter Physics
- Statistical Mechanics
Background:
- The Fermi-Pasta-Ulam-Tsingou (FPUT) problem investigates energy localization in nonlinear systems.
- Understanding recurrence phenomena is crucial for characterizing the long-term behavior of complex systems.
Purpose of the Study:
- To investigate Fermi-Pasta-Ulam-Tsingou (FPUT)-like recurrence in weakly damped, periodically driven alpha-FPUT chains.
- To explore the conditions and characteristics of quasiperiodic energy exchange in these systems.
Main Methods:
- Numerical simulations were employed to study the dynamics of alpha-FPUT chains.
- Analysis focused on energy exchange among low-frequency modes under specific driving and damping parameters.
Main Results:
- Numerical evidence of FPUT-like recurrence was observed in driven, damped alpha-FPUT chains within narrow parameter regimes.
- Steady-state energy was found to exchange quasiperiodically among a few low-frequency modes over extended timescales.
- The maximum damping allowing recurrence decreased rapidly with increasing chain length.
Conclusions:
- The observed recurrence differs from discrete time crystals, as the period is not a multiple of the driving period and lacks spontaneous symmetry breaking.
- These findings reveal coherent nonlinear dynamics in driven, open multimode systems.
- The results offer guidance for the experimental realization of long-lived quasiperiodic states.
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