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Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
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Trade-off between coherence and dissipation for excitable phase oscillators.

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Thermodynamic uncertainty relations (TUR) bound coherence in excitable systems like neurons. This study reveals how TUR and other bounds influence coherence and dissipation in single units and ensembles.

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Area of Science:

  • Neuroscience
  • Statistical Physics
  • Complex Systems

Background:

  • The Thermodynamic Uncertainty Relation (TUR) provides fundamental limits on coherence in stochastic systems.
  • Excitable systems, such as neurons, exhibit complex oscillatory dynamics influenced by noise.
  • Understanding the interplay between coherence, dissipation, and noise is crucial for characterizing biological and physical oscillators.

Purpose of the Study:

  • To investigate the role of dynamical and thermodynamic bounds in excitable oscillators.
  • To analyze the trade-off between coherence and dissipation in single excitable units.
  • To examine the bounds on coherence resonance and coherence-dissipation relations in oscillator ensembles.

Main Methods:

  • Analysis of the Thermodynamic Uncertainty Relation (TUR) and saddle-node on an invariant circle (SNIC) bounds.
  • Investigation of sub- and superthreshold dynamics in single excitable units.
  • Study of coherence resonance in a one-dimensional excitable phase model.
  • Examination of coherence-dissipation relations in ensembles of strongly coupled excitable oscillators.

Main Results:

  • Both TUR and SNIC bounds constrain interspike interval fluctuations in excitable units.
  • Coherence resonance in excitable systems is shown to be bounded by the TUR.
  • The coherence-dissipation relation is explored in both single units and coupled ensembles.

Conclusions:

  • Dynamical and thermodynamic bounds are critical for understanding coherence in excitable systems.
  • The TUR offers a universal framework for bounding coherence and dissipation across various regimes.
  • Findings provide insights into the fundamental principles governing noise-induced oscillations and coherence in complex systems.