Article Dans Une Revue Journal of Statistical Physics Année : 2026

beta-FPUT chains under time-periodic forcing

Résumé

Recent works proved a hydrodynamic limit for periodically forced atom chains with harmonic interaction and pinning, together with momentum flip. When energy is the only conserved quantity, one would expect similar results in the anharmonic case, as conjectured for the temperature profile and energy flux. However, outside the harmonic case, explicit computations are generally no longer possible, thus making a rigorous proof of this hydrodynamic limit difficult. Consequently, we numerically investigate the plausibility of this limit for the particular case of a chain with beta-FPUT interactions and harmonic pinning. We present our simulation results suggesting that the conjectured PDE for the limiting temperature profile and Green--Kubo type formula for the limiting energy current conjectured are correct. We then use this Green--Kubo type formula to investigate the relationship between the energy current and period of the forcing. This relationship is investigated in the case of significant rate of momentum flip, small rate of momentum flip and no momentum flip. We compare the relationship observed in the anharmonic case to that of the harmonic case for which explicit formulae are available.

Dates et versions

hal-05165306 , version 1 (16-07-2025)

Identifiants

Citer

Shiva Darshan, Alessandra Iacobucci, Stefano Olla, Gabriel Stoltz. beta-FPUT chains under time-periodic forcing. Journal of Statistical Physics, 2026, 193 (3), pp.37. ⟨10.1007/s10955-026-03589-z⟩. ⟨hal-05165306⟩
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