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Automated Delivery of Microfabricated Targets for Intense Laser Irradiation Experiments
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Automated Delivery of Microfabricated Targets for Intense Laser Irradiation Experiments

Published on: January 28, 2021

Stochastic ion acceleration by beating electrostatic waves.

B Jorns1, E Y Choueiri

  • 1Electric Propulsion and Plasma Dynamics Laboratory (EPPDyL), Princeton University, Princeton, New Jersey 08544, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 16, 2013
PubMed
Summary
This summary is machine-generated.

This study reveals conditions for ion orbit stochasticity using two beating electrostatic waves. Stochasticity occurs at lower wave energy densities compared to single or non-beating waves.

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Area of Science:

  • Plasma physics
  • Ion dynamics
  • Nonlinear phenomena

Background:

  • Understanding ion stochasticity is crucial for plasma behavior.
  • Magnetized ions interacting with electrostatic waves can exhibit complex dynamics.
  • Beating waves introduce unique frequency and amplitude modulations.

Purpose of the Study:

  • To investigate the stochasticity of a single, magnetized ion's orbit.
  • To determine the velocity conditions for stochasticity under specific wave interactions.
  • To compare energy requirements for stochasticity onset with different wave configurations.

Main Methods:

  • Utilizing second-order Lie transform perturbation theory.
  • Employing numerical analysis of the maximum Lyapunov exponent.
  • Analyzing ion interaction with two beating electrostatic waves differing by the ion cyclotron frequency.

Main Results:

  • Established upper and lower bounds for ion velocity leading to stochastic orbits.
  • Identified the lower bound for stochasticity near the phase velocity of the slower wave.
  • Derived a linear threshold condition for stochasticity onset relative to wave amplitudes.

Conclusions:

  • Beating electrostatic waves facilitate stochasticity at lower total wave energy densities.
  • This finding is significant compared to scenarios with single or non-beating waves.
  • The study provides critical insights into controlling and predicting ion stochastic behavior in plasmas.