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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Moon, F.C., Chaotic Vibrations, New York: John Wiley and Sons, 1987.
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.
Birdsall, C.K., and Langdon, A.B., Plasma Physics Via Computer Simulation, New York: McGraw-Hill, 1985.
Heitler, W., The Quantum Theory of Radiation, Oxford, UK: Oxford University Press, 1954.
Walker, G.H., and Ford, J., Amplitude instability and ergodic behaviour for conservative nonlinear oscillator systems, Phys. Rev., Vol. 188, p. 416, 1969.
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.
Editor information
Editors and Affiliations
Rights 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