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Related Experiment Videos

Environment-induced dynamical chaos

Chandra Bag B1, Shankar Ray D

  • 1Indian Association for the Cultivation of Science, Jadavpur, Calcutta 700 032, India.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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Thermal fluctuations in a dynamical system

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Statistical Mechanics

Background:

  • Dynamical systems often exhibit complex behaviors.
  • Environmental interactions, like thermal fluctuations, can influence system dynamics.
  • Understanding these influences is crucial in various scientific fields.

Purpose of the Study:

  • To investigate the combined effects of system nonlinearity and environmental thermal fluctuations.
  • To explore the physical limit of small damping and slow diffusion within a semiclassical framework.
  • To determine if thermal fluctuations can induce chaos in system trajectories.

Main Methods:

  • Utilized a semiclassical approach to model the dynamical system.
  • Incorporated thermal fluctuations from the environment, considering small damping and slow diffusion.

Related Experiment Videos

  • Analyzed the behavior of c-number variables representing system trajectories.
  • Main Results:

    • Demonstrated that thermal fluctuations can induce dynamical chaos.
    • Showcased the interplay between system nonlinearity and environmental noise.
    • Confirmed chaos emergence even in the physical limit of weak coupling.

    Conclusions:

    • Environmental thermal fluctuations can drive nonlinear dynamical systems towards chaotic behavior.
    • The semiclassical analysis provides insights into chaos generation mechanisms.
    • This finding has implications for understanding complex systems in physics and beyond.