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

✍ Scribed by Zhan-Wu Bai

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 305 KB
Volume: 388
Category: Article
ISSN: 0378-4371
DOI: 10.1016/j.physa.2009.07.007

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✦ Synopsis

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.

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