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PreprintCC BY 4.0arXiv

Statistical Properties of a Fluctuation-Driven Nanomechanical Duffing Resonator

  • Monan Ma
  • Nathan Welles
  • Johnathon Barbish
  • Ismet I. Kaya
  • M. Selim Hanay
  • Oleksiy Svitelskiy
  • Mark R. Paul
  • Kamil L. Ekinci
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Abstract

We investigate the fluctuating nonlinear dynamics of multiple modes of a nanomechanical doubly clamped beam resonator. Each mode is driven by Gaussian force noise centered around the resonance; the mode response is monitored while the force magnitude is increased, inducing a transition from harmonic to the nonlinear Duffing regime. To characterize the dynamics, we introduce an effective temperature based on the mode fluctuation amplitude. As the nonlinearity becomes prominent at large amplitudes, we observe a reduction in the effective thermal energy and a crossover in response statistics from Gaussian to platykurtic, consistent with the dynamics expected in a Duffing potential.

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Cite

BibTeXRIS
BibTeX
@misc{ma2026statistical,
  title = {{Statistical Properties of a Fluctuation-Driven Nanomechanical Duffing Resonator}},
  author = {Monan Ma and Nathan Welles and Johnathon Barbish and Ismet I. Kaya and M. Selim Hanay and Oleksiy Svitelskiy and Mark R. Paul and Kamil L. Ekinci},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.28731},
  eprint = {2608.28731},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.28731},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Statistical Properties of a Fluctuation-Driven Nanomechanical Duffing Resonator
AU  - Monan Ma
AU  - Nathan Welles
AU  - Johnathon Barbish
AU  - Ismet I. Kaya
AU  - M. Selim Hanay
AU  - Oleksiy Svitelskiy
AU  - Mark R. Paul
AU  - Kamil L. Ekinci
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2608.28731
UR  - https://arxiv.org/abs/2608.28731
AB  - We investigate the fluctuating nonlinear dynamics of multiple modes of a nanomechanical doubly clamped beam resonator. Each mode is driven by Gaussian force noise centered around the resonance; the mode response is monitored while the force magnitude is increased, inducing a transition from harmonic to the nonlinear Duffing regime. To characterize the dynamics, we introduce an effective temperature based on the mode fluctuation amplitude. As the nonlinearity becomes prominent at large amplitudes, we observe a reduction in the effective thermal energy and a crossover in response statistics from Gaussian to platykurtic, consistent with the dynamics expected in a Duffing potential.
ER  -