✦ LIBER ✦

Dissipative contributions of internal multiplicative noise: I. mechanical oscillator

✍ Scribed by Katja Lindenberg; V. Seshadri

Book ID: 103892266
Publisher: Elsevier Science
Year: 1981
Tongue: English
Weight: 731 KB
Volume: 109
Category: Article
ISSN: 0378-4371
DOI: 10.1016/0378-4371(81)90007-8

No coin nor oath required. For personal study only.

✦ Synopsis

Langevin equations for closed systems with multiplicative fluctuations must also include appropriate dissipative terms that ensure eventual equilibration of the system. We consider an oscillator coupled to a heat bath and show that a particular nonlinear coupling to a harmonic heat bath leads to a fluctuating frequency and to nonlinear dissipative terms. We also analyze the effects of the multiplicative fluctuations and of the corresponding nonlinear dissipation on the temporal evolution of the average oscillator energy. We find that the rate of equilibration of this system can be significantly different from that of an oscillator with only additive fluctuations and linear dissipation.

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