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Amal Joseph1, Induja Pavithran2,3, R I Sujith2,3

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Complex turbulent reactive flow systems exhibit explosive synchronization, a sudden, discontinuous transition to a synchronized state with hysteresis, unlike typical continuous transitions. This phenomenon occurs at the onset of oscillatory instability.

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Area of Science:

  • Complex Systems Dynamics
  • Fluid Mechanics
  • Nonlinear Dynamics

Background:

  • Abrupt dynamical transitions in macroscopic systems are of increasing scientific interest.
  • Previous studies often focused on continuous transitions to synchronized states.
  • Turbulent reactive flows are complex systems with potential for novel dynamical behaviors.

Purpose of the Study:

  • To provide experimental evidence of abrupt transitions in a real-world complex system.
  • To investigate the phenomenon of explosive synchronization in a turbulent reactive flow.
  • To analyze the synchronization dynamics between local flame heat release and the global acoustic field.

Main Methods:

  • Experimental analysis of a turbulent reactive flow system.
  • Characterization of heat release rate fluctuations as locally coupled oscillators.
  • Modeling the coupling between oscillators and the global acoustic field.

Main Results:

  • Observed discontinuous synchronization transition with hysteresis in the turbulent reactive flow.
  • Identified explosive synchronization occurring at the onset of oscillatory instability.
  • Demonstrated synchronization between fluctuating heat release rates and the acoustic field.

Conclusions:

  • Turbulent reactive flows can exhibit abrupt dynamical transitions via explosive synchronization.
  • The findings challenge the paradigm of continuous transitions in complex systems.
  • A mathematical model was developed to elucidate the underlying interaction mechanisms.