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This study explores bubble dynamics under random pressure fluctuations, unlike previous research focusing on periodic forces. High noise intensity can lead to chaotic bubble behavior, amplifying external random forcing.

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Area of Science:

  • Nonlinear dynamics
  • Fluid mechanics
  • Acoustics

Background:

  • Previous research on bubble dynamics primarily focused on periodic pressure oscillations.
  • Stochastic pressure forcing is prevalent in applications like hydrodynamic and acoustic cavitation.
  • Noise is known to induce counterintuitive phenomena in nonlinear dynamical systems.

Purpose of the Study:

  • To investigate the dynamics of a single spherical bubble under stochastic pressure forcing.
  • To explore the effects of Gaussian colored noise, modeled as an Ornstein-Uhlenbeck process, on bubble behavior.
  • To analyze the transition from regular oscillations to chaotic dynamics based on noise intensity.

Main Methods:

  • Utilized the Keller-Miksis equation to model bubble dynamics.
  • Applied Gaussian colored noise, described by an Ornstein-Uhlenbeck process, as the pressure forcing.
  • Analyzed bubble radius oscillations under varying noise intensities.

Main Results:

  • Low noise intensity leads to small-amplitude, regular bubble radius oscillations, exciting free oscillations.
  • High noise intensity induces chaotic bubble dynamics.
  • Bubbles act as amplifiers of external random forcing at high noise intensities.

Conclusions:

  • Stochastic forcing can lead to significantly different bubble dynamics compared to periodic forcing.
  • Noise intensity is a critical parameter determining the nature of bubble oscillations, from regular to chaotic.
  • The study highlights the potential for noise to amplify nonlinear effects in bubble dynamics.