Periodic orbits in Fermi–Pasta–Ulam–Tsingou systems
Nachiket Karve,
Nathan Rose,
David Campbell
Abstract:The Fermi–Pasta–Ulam–Tsingou (FPUT) paradox is the phenomenon whereby a one-dimensional chain of oscillators with nonlinear couplings shows long-lived nonergodic behavior prior to thermalization. The trajectory of the system in phase space, with a long-wavelength initial condition, closely follows that of the Toda model over short times, as both systems seem to relax quickly to a non-thermal, metastable state. Over longer times, resonances in the FPUT spectrum drive the system toward equilibrium, away from the… Show more
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