• Nonlinear distribution functions for the Vlasov-Poisson system

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      https://www.ias.ac.in/article/fulltext/pram/019/03/0269-0277

    • Keywords

       

      Nonlinear distribution function; particle trapping; Lagrangian; modulational stability

    • Abstract

       

      The nonlinear distribution function introduced by Allis has been used to investigate the stability of the solution of Vlasov-Poisson’s equations. The ‘average’ Lagrangian is calculated on the basis of this distribution function, and the ‘average’ variational principle of Witham is applied to discuss modulational stability. It is found that the distribution function of Allis exactly gives rise to the Lighthill’s stability condition of non-linear waves.

    • Author Affiliations

       

      Saroj K Majumdar1

      1. Saha Institute of Nuclear Physics, Calcutta - 700 009, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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