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This study reveals a transition from normal to ballistic diffusion in bouncing ball systems. Accelerator modes drive this shift, enabling ballistic velocity growth and altering particle transport properties.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Statistical Mechanics

Background:

  • Bouncing ball dynamics exhibit complex behavior under gravity and periodic wall motion.
  • A mixed phase space arises, allowing for normal diffusion in chaotic orbits.

Purpose of the Study:

  • To characterize the transition from normal to ballistic diffusion in a bouncing ball system.
  • To identify the role of accelerator modes in velocity growth and transport properties.

Main Methods:

  • Statistical and numerical analysis of particle velocity.
  • Investigation of transport properties in different diffusion regimes.
  • Analysis of orbit probability to reach accelerator modes.

Main Results:

  • Observed a transition from normal to ballistic diffusion based on control parameters.
  • Identified accelerator modes responsible for ballistic velocity increase.
  • Found a competition between normal and ballistic transport at mid-range velocities.

Conclusions:

  • The bouncing ball system demonstrates a tunable transition between normal and ballistic diffusion.
  • Accelerator modes are key to achieving ballistic transport.
  • Understanding this transition is crucial for characterizing particle dynamics in complex systems.