Abstract
An undisturbed Brownian oscillator may not reach thermal equilibrium with the thermal bath due to the formation of a localized normal mode. The latter may emerge when the spectrum of the thermal bath has a finite upper bound ω 0 and the oscillator natural frequency exceeds a critical value , which depends on the specific form of the bath spectrum. We consider the response of the oscillator with and without a localized mode to the external periodic force with frequency Ω lower than ω 0. The results complement those obtained earlier for the high-frequency response at and require a different mathematical approach. The signature property of the high-frequency response is resonance when the external force frequency Ω coincides with the frequency of the localized mode . In the low-frequency domain the condition of resonance cannot be met (since ). Yet, in the limits and , the oscillator shows a peculiar quasi-resonance response with an amplitude increasing with time sublinearly.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Statistical Mechanics: Theory and Experiment
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
