On the behaviour of a periodically forced and thermostatted harmonic chain

2023/07/18 by Pedro L. Garrido, Tomasz Komorowski, Garrido, Pedro +5 · 1 citation
Physics and Astronomy · #70J35 #80A19 #80M22 #82C22 #82C70 #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Force Microscopy Techniques and Applications #Mathematical Physics (math-ph) #Mechanical and Optical Resonators #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2307.09535

openalex publication_date 2023/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We consider a chain consisting of n+1 pinned harmonic oscillators subjected on the right to a time dependent periodic force \cF(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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