Nonlinear Dissipation of Alfvén Waves

  • G. Christopher Boynton
  • ULF Torkelsson


Alfvén waves are incompressible to first order and therefore believed to propagate without dissipating. A linearly polarised Alfvén wave is however compressible to second order due to the variations in magnetic pressure, B2/(2μ0), (e.g. Alfvén & Fälthammar 1963). The wave can therefore steepen to discontinuities (Cohen & Kulsrud 1974).


Current Sheet Magnetic Pressure Background Medium Wave Steep Alfven Wave 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. Alfvén, H. and Fälthammar, C.-G., (1963) Cosmical electrodynamics. Fundamental principles. Clarendon Press, OxfordzbMATHGoogle Scholar
  2. Boris, J. P. and Book, D. L. (1973) Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works, J. Comp. Phys., 11, 38–69ADSzbMATHCrossRefGoogle Scholar
  3. Boynton, G. C. Torkelsson, U. (1995), Dissipation of non-linear Alfvén waves, A&A, acceptedGoogle Scholar
  4. Cohen, R. H. and Kulsrud, R. M. (1974) Nonlinear evolution of parallel-propagating hydromagnetic waves, Phys. Fluids, 17, 2215–2225ADSzbMATHCrossRefGoogle Scholar
  5. Rosner, B. (1995) Mechanisms of solar mass-loss, these proceedings Google Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • G. Christopher Boynton
    • 1
    • 2
  • ULF Torkelsson
    • 2
  1. 1.Sterrekundig InstituutUtrechtThe Netherlands
  2. 2.Physics DepartmentUniv. of MiamiCoral GablesUSA

Personalised recommendations