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Leaky Fermi accelerators.

Kushal Shah1, Vassili Gelfreich2, Vered Rom-Kedar3

  • 1Department of Electrical Engineering, Indian Institute of Technology (IIT) Delhi, New Delhi 110016, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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Summary
This summary is machine-generated.

Fermi accelerators with oscillating walls can heat surrounding gases. Multicomponent accelerators transfer more energy than ergodic ones, with smaller holes significantly increasing heat flow.

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Area of Science:

  • Statistical mechanics
  • Thermodynamics
  • Non-equilibrium systems

Background:

  • Fermi accelerators are dynamical systems with oscillating walls, interacting with external environments.
  • Leaky accelerators exchange particles with an ideal gas at equilibrium through a boundary hole.
  • This interaction can lead to heating of the gas.

Purpose of the Study:

  • To estimate the net energy flow through the hole of a leaky Fermi accelerator.
  • To investigate how the type of Fermi accelerator influences heat production.
  • To analyze the impact of hole size on energy transfer.

Main Methods:

  • Modeling a leaky Fermi accelerator interacting with an ideal gas.
  • Assuming non-colliding particles within the accelerator and long residence times.
  • Estimating net energy flow based on accelerator properties and hole characteristics.

Main Results:

  • Heat production strongly depends on the Fermi accelerator's configuration.
  • Ergodic accelerators (single ergodic component) show weaker energy flow compared to multicomponent accelerators.
  • In ergodic cases, energy gain is independent of hole size.
  • In multicomponent cases, shrinking the hole size significantly increases energy flow.

Conclusions:

  • The architecture of a Fermi accelerator critically determines its ability to heat an external gas.
  • Multicomponent Fermi accelerators offer a tunable mechanism for enhanced energy transfer by controlling hole size.
  • Understanding these systems is crucial for applications involving energy exchange in confined dynamical systems.