Skip to main content

Relativistic Particles in a Magnetic Field

  • Chapter
Fractals and Chaos
  • 614 Accesses

Abstract

A charged particle in the field of a plane wave travelling at right angles to the static magnetic field exhibits complex dynamics. Competition between the rotational and translational motions leads to the presence of stochastic channels, which separate regions where the motion is stable. Visualization techniques are used to improve our understanding of the inherent complexity.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Moon, F.C., Chaotic Vibrations, New York: John Wiley and Sons, 1987.

    MATH  Google Scholar 

  2. Arnol’d, V.I., Small denominators and problems of stability of motion in classical and celestial mechanics, Russian Math. Surveys, Vol. 18, p. 85, 1963.

    Article  MATH  Google Scholar 

  3. Birdsall, C.K., and Langdon, A.B., Plasma Physics Via Computer Simulation, New York: McGraw-Hill, 1985.

    Google Scholar 

  4. Heitler, W., The Quantum Theory of Radiation, Oxford, UK: Oxford University Press, 1954.

    MATH  Google Scholar 

  5. Walker, G.H., and Ford, J., Amplitude instability and ergodic behaviour for conservative nonlinear oscillator systems, Phys. Rev., Vol. 188, p. 416, 1969.

    Article  MathSciNet  Google Scholar 

  6. Zaslavskii, G.M., Natenzon, M.Y., Petrovichev, B.A., Sagdeev, R.Z., and Chemikov, A.A., Stochastic acceleration of relativistic particles in a magnetic field, Sov. Phys. JETP, Vol. 66, p. 496, 1987.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag New York Inc.

About this chapter

Cite this chapter

Novak, M.M. (1991). Relativistic Particles in a Magnetic Field. In: Crilly, A.J., Earnshow, R.A., Jones, H. (eds) Fractals and Chaos. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3034-2_11

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-3034-2_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7770-5

  • Online ISBN: 978-1-4612-3034-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics