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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
2024_JStatPhys_191_Garrido.pdf
non disponibili
Tipologia:
Versione Editoriale (PDF)
Licenza:
Non pubblico
Dimensione
1.21 MB
Formato
Adobe PDF
|
1.21 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.