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Coherent signal amplification in bistable nanomechanical oscillators by stochastic resonance

Author

Listed:
  • Robert L. Badzey

    (Boston University)

  • Pritiraj Mohanty

    (Boston University)

Abstract

Stochastic resonance1,2 is a counterintuitive concept: the addition of noise to a noisy system induces coherent amplification of its response. First suggested as a mechanism for the cyclic recurrence of ice ages, stochastic resonance has been seen in a wide variety of macroscopic physical systems: bistable ring lasers3, superconducting quantum interference devices4,5 (SQUIDs), magnetoelastic ribbons6 and neurophysiological systems such as the receptors in crickets7 and crayfish8. Although fundamentally important as a mechanism of coherent signal amplification, stochastic resonance has yet to be observed in nanoscale systems. Here we report the observation of stochastic resonance in bistable nanomechanical silicon oscillators. Our nanomechanical systems consist of beams that are clamped at each end and driven into transverse oscillation with the use of a radiofrequency source. Modulation of the source induces controllable switching of the beams between two stable, distinct states. We observe that the addition of white noise causes a marked amplification of the signal strength. Stochastic resonance in nanomechanical systems could have a function in the realization of controllable high-speed nanomechanical memory cells, and paves the way for exploring macroscopic quantum coherence and tunnelling.

Suggested Citation

  • Robert L. Badzey & Pritiraj Mohanty, 2005. "Coherent signal amplification in bistable nanomechanical oscillators by stochastic resonance," Nature, Nature, vol. 437(7061), pages 995-998, October.
    • Handle: RePEc:nat:nature:v:437:y:2005:i:7061:d:10.1038_nature04124
    DOI: 10.1038/nature04124
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    Cited by:

    1. Qiao, Zijian & Shu, Xuedao, 2021. "Coupled neurons with multi-objective optimization benefit incipient fault identification of machinery," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    2. Gong, Xulu & Xu, Pengfei & Liu, Di & Zhou, Biliu, 2023. "Stochastic resonance of multi-stable energy harvesting system with high-order stiffness from rotational environment," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    3. Vocca, Helios & Neri, Igor & Travasso, Flavio & Gammaitoni, Luca, 2012. "Kinetic energy harvesting with bistable oscillators," Applied Energy, Elsevier, vol. 97(C), pages 771-776.
    4. Ueda, Michihito, 2010. "Improvement of signal-to-noise ratio by stochastic resonance in sigmoid function threshold systems, demonstrated using a CMOS inverter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(10), pages 1978-1985.
    5. Jiang, Jiahao & Li, Kaiyuan & Guo, Wei & Du, Luchun, 2021. "Energetic and entropic vibrational resonance," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    6. Duan, Fabing & Abbott, Derek, 2007. "Binary modulated signal detection in a bistable receiver with stochastic resonance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 173-190.
    7. Xie, Tianting & Ji, Yuandong & Yang, Zhongshan & Duan, Fabing & Abbott, Derek, 2023. "Optimal added noise for minimizing distortion in quantizer-array linear estimation," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    8. Cheng, Guanghui & Liu, Weidan & Gui, Rong & Yao, Yuangen, 2020. "Sine-Wiener bounded noise-induced logical stochastic resonance in a two-well potential system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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