Article Dans Une Revue Journal of Statistical Physics Année : 2024

On the Behaviour of a Periodically Forced and Thermostatted Harmonic Chain

Résumé

We consider a chain consisting of n+1 pinned harmonic oscillators subjected on the right to a time dependent periodic force F(t) while Langevin thermostats are attached at both endpoints of the chain. We show that for long times the system is described by a Gaussian measure whose covariance function is independent of the force, while the means are periodic. We compute explicitly the work and energy due to the periodic force for all n including n → ∞.

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Dates et versions

hal-04165353 , version 1 (18-07-2023)
hal-04165353 , version 2 (12-09-2023)

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Pedro L Garrido, Tomasz Komorowski, Joel L Lebowitz, Stefano Olla. On the Behaviour of a Periodically Forced and Thermostatted Harmonic Chain. Journal of Statistical Physics, 2024, 191, pp.30. ⟨10.1007/s10955-024-03243-6⟩. ⟨hal-04165353v2⟩
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