Compressible alfven turbulence in one dimension

J. Fleischer, P. H. Diamond

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We present the simplest extension of the Burgers equation to include the effects of magnetic pressure. For unity magnetic Prandtl number, an exact solution exists that describes Alfvenic shock waves. For forced turbulence with arbitrary diffusivities, renormalized perturbation theory is used to show that the only stable, physically accessible fixed point corresponds to a state of equidissipation. Energy equipartition, however, requires the equality of the forcing functions. Implications for the spectra of turbulence and self-organization phenomena in magnetohydrodynamics are discussed.

Original languageEnglish (US)
Pages (from-to)R2709-R2712
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number3
StatePublished - 1998
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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