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Stadium billiard with moving walls.

Doron Cohen1, Diego A Wisniacki

  • 1Department of Physics, Ben-Gurion University, Beer-Sheva 84105, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 2003
PubMed
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This study explores energy distribution in a stadium with moving walls, revealing distinct parametric and stochastic components. Understanding these dynamics is crucial for quantum irreversibility and dissipation in mesoscopic systems.

Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Mesoscopic systems

Background:

  • The energy distribution in driven systems is complex, featuring both parametric and stochastic elements.
  • Stochastic components are vital for understanding quantum irreversibility and dissipation in mesoscopic devices.
  • The behavior of energy distribution is highly dependent on the velocity of the driving walls.

Purpose of the Study:

  • To investigate the evolution of energy distribution in a stadium model with moving walls.
  • To analyze the interplay between parametric and stochastic components of energy distribution.
  • To identify and characterize nonperturbative features in the energy spreading mechanism for nonadiabatic wall velocities.

Main Methods:

  • Numerical simulations were employed to study the energy distribution.

Related Experiment Videos

  • A procedure was developed to categorize different regimes based on wall velocity (V).
  • Analysis focused on identifying nonperturbative features in the spreading mechanism.

    • Main Results:

    • The study distinguishes between parametric and stochastic contributions to energy distribution.
    • For slow wall velocities, energy spreading is dominated by transitions between adjacent energy levels.
    • For nonadiabatic velocities, both perturbative and nonperturbative spreading mechanisms are observed.

    Conclusions:

    • The findings provide insights into quantum irreversibility and dissipation in driven mesoscopic systems.
    • The developed procedure helps in understanding the different velocity regimes and their impact on energy distribution.
    • The study discusses the potential implications for linear response theory in such systems.