Energy dissipation and violation of the fluctuation-response relation for harmonic oscillators described by the generalized Langevin equation

Zhan-Wu Bai

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 20, 4357-4360

Abstract: The generalized Langevin equation (GLE) satisfied by harmonic oscillators coupled to a heat bath is transformed into an equality between the rate of energy dissipation and an extent of violation of the fluctuation-response relation. Its significance is discussed. When the system reaches a stationary state and a single harmonic oscillator’s frequency is set to zero, the equality reduces to a fluctuation-dissipation relation, which is slightly different from the usual Kubo’s formalism.

Keywords: Energy dissipation; Fluctuation-response relation; Harmonic oscillator; Generalized Langevin equation (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:20:p:4357-4360

DOI: 10.1016/j.physa.2009.07.007

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