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Garrido, Pedro L; Komorowski, Tomasz; Lebowitz, Joel L; Olla, Stefano
Journal of statistical physics, 2024Journal Article
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 → ∞.
