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Magnetically Induced Rotating Rayleigh-Taylor Instability
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Noise cross correlations can induce instabilities in coupled driven models.

Sudip Mukherjee1

  • 1Barasat Government College, 10, KNC Road, Gupta Colony, Barasat, Kolkata 700124, West Bengal, India.

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PubMed
Summary

Noise cross correlations can destabilize driven, nonequilibrium systems. This study reveals how these correlations, even in stable models, can induce instabilities in dynamical systems, impacting their steady states.

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Area of Science:

  • Statistical physics
  • Nonlinear dynamics
  • Complex systems

Background:

  • Driven, nonequilibrium systems are crucial in various scientific fields.
  • Understanding steady states requires analyzing stochastic processes.
  • Noise correlations can significantly alter system behavior.

Purpose of the Study:

  • To investigate the impact of noise cross correlations on the steady states of driven, nonequilibrium systems.
  • To analyze a coupled model with two stochastically driven dynamical variables in one dimension.
  • To determine how cross correlations influence system stability.

Main Methods:

  • Utilized a well-known stochastically driven coupled model with two dynamical variables.
  • Introduced cross correlations between the noises in the dynamical equations.
  • Analyzed the emergence of instabilities based on nonlinear coupling.

Main Results:

  • Noise cross correlations can induce instabilities in models that are otherwise stable.
  • The emergence of instabilities depends on the nonlinear coupling between dynamical fields.
  • Observed phenomena are analogous to the roughening transition in the Kardar-Parisi-Zhang equation for dimensions > 2.

Conclusions:

  • Noise cross correlations are a critical factor in determining the stability of driven, nonequilibrium systems.
  • The findings have implications for understanding complex phenomena and transitions in physical systems.
  • Further research can explore broader applications and theoretical frameworks.