We consider a chain consisting of n+1 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→∞. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.

On the Behaviour of a Periodically Forced and Thermostatted Harmonic Chain

Olla, Stefano
2024-01-01

Abstract

We consider a chain consisting of n+1 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→∞. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.
2024
Harmonic chain · Periodic force · Work into heat · Resonance response
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12571/32227
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