Density fluctuations induced by modulational instability of parallel propagating Alfvén waves with β f ∼ 1

Yasuhiro Nariyuki, Tohru Hada

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    Density fluctuations generated by envelope modulation of Alfvén waves are studied when the sound to Alfvén velocity ratio C s/C A (≡ √β f) ∼ 1, using a kinetic version of the triple-degenerate derivative nonlinear Schrödinger (TDNLS) equation set, in which both right- and left-hand polarized quasi-parallel Alfvén waves as well as sound waves, all propagating in the same direction, are included. In the model, kinetic effects along the longitudinal direction are introduced phenomenologically. Long time evolution of the Alfvén waves are discussed by numerically time integrating the obtained TDNLS model. The TDNLS model reproduces not only features of the well-known derivative nonlinear Schrödinger (DNLS) model, but also results obtained from more general frameworks. Numerical results suggest that the nonlinearly-driven modulational instability can play important roles in the dissipation of both right- and left-hand polarized Alfvén waves in the solar wind.

    Original languageEnglish
    Article number074901
    Journaljournal of the physical society of japan
    Volume76
    Issue number7
    DOIs
    Publication statusPublished - Jul 1 2007

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    kinetics
    sound waves
    nonlinear equations
    solar wind
    envelopes
    dissipation
    modulation
    acoustics

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

    Cite this

    Density fluctuations induced by modulational instability of parallel propagating Alfvén waves with β f ∼ 1. / Nariyuki, Yasuhiro; Hada, Tohru.

    In: journal of the physical society of japan, Vol. 76, No. 7, 074901, 01.07.2007.

    Research output: Contribution to journalArticle

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    abstract = "Density fluctuations generated by envelope modulation of Alfv{\'e}n waves are studied when the sound to Alfv{\'e}n velocity ratio C s/C A (≡ √β f) ∼ 1, using a kinetic version of the triple-degenerate derivative nonlinear Schr{\"o}dinger (TDNLS) equation set, in which both right- and left-hand polarized quasi-parallel Alfv{\'e}n waves as well as sound waves, all propagating in the same direction, are included. In the model, kinetic effects along the longitudinal direction are introduced phenomenologically. Long time evolution of the Alfv{\'e}n waves are discussed by numerically time integrating the obtained TDNLS model. The TDNLS model reproduces not only features of the well-known derivative nonlinear Schr{\"o}dinger (DNLS) model, but also results obtained from more general frameworks. Numerical results suggest that the nonlinearly-driven modulational instability can play important roles in the dissipation of both right- and left-hand polarized Alfv{\'e}n waves in the solar wind.",
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    N2 - Density fluctuations generated by envelope modulation of Alfvén waves are studied when the sound to Alfvén velocity ratio C s/C A (≡ √β f) ∼ 1, using a kinetic version of the triple-degenerate derivative nonlinear Schrödinger (TDNLS) equation set, in which both right- and left-hand polarized quasi-parallel Alfvén waves as well as sound waves, all propagating in the same direction, are included. In the model, kinetic effects along the longitudinal direction are introduced phenomenologically. Long time evolution of the Alfvén waves are discussed by numerically time integrating the obtained TDNLS model. The TDNLS model reproduces not only features of the well-known derivative nonlinear Schrödinger (DNLS) model, but also results obtained from more general frameworks. Numerical results suggest that the nonlinearly-driven modulational instability can play important roles in the dissipation of both right- and left-hand polarized Alfvén waves in the solar wind.

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