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    • Keywords


      Relativistic effects; modulational instability; electron plasma wave; quantum plasma.

    • Abstract


      Relativistic effects on the linear and nonlinear properties of electron plasma waves are investigated using the one-dimensional quantum hydrodynamic (QHD) model for a twocomponent electron–ion dense quantum plasma. Using standard perturbation technique, a nonlinear Schrödinger equation (NLSE) containing both relativistic and quantum effects has been derived. This equation has been used to discuss the modulational instability of the wave. Through numerical calculations it is shown that relativistic effects significantly change the linear dispersion character of the wave. Unlike quantum effects, relativistic effects are shown to reduce the instability growth rate of electron plasma waves.

    • Author Affiliations


      Basudev Ghosh1 Swarniv Chandra1 Sailendra Nath Paul1 2

      1. Department of Physics, Jadavpur University, Kolkata 700 032, India
      2. Centre for Science Education and Research, P-1 B.P. Township, Kolkata 700 094, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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