Wave breaking amplitudes of Langmuir modes in electron-positron-ion-dusty plasmas

Abstract

In contrast to the conventional studies on low frequency dust acoustic
or dust ion acoustic waves, the investigation is done
here on the wave characteristics of high frequency Langmuir
modes in electron-positron-ion-dusty plasmas. In the wave analysis, the
electrons, positrons, and ions are considered to follow relativistic dynamics. Whereas
negative or positive polarity massive dust grains form a fixed charge neutralizing background.
Within the Sagdeev pseudopotential approach, the wave
breaking amplitudes of such high frequency oscillations are derived. The wave
breaking amplitudes are shown to depend on various system parameters
like equilibrium ion-to-electron density ratio, relativistic Lorentz factor
associated with the phase velocity of oscillations, etc. It has been
demonstrated that, even though the dust grains do not participate in the wave
dynamics, the nature of their charge polarity and the values of equilibrium dust density have profound effects on the wave breaking amplitudes. We expect that the results of our investigation in such
dusty plasma medium may have some relevance in the space plasma research.

Wave-breaking limit of electrostatic waves in two-temperature electron-positron plasmas

“…Thus, the fictitious particle will execute one-dimensional oscillations inside this potential well. In general, the Sagdeev potential is not symmetric owing to differences in masses and temperatures of the various constituents of the plasma [16][17][18][19]. But for our case of a two-temperature EP plasma, it is easily verifiable that the Sagdeev potential U(f) given by equation (24) is indeed symmetric about f = 0 (see curve 2 in figure 3).…”

“…, where ω pe denotes the usual electron plasma frequency and k is the corresponding wave-number. Additionally, a lot of research has been done in the recent years in the field of wave-breaking [15][16][17][18][19].…”

Laser driven wake wave in pair-ion electron plasma with inclusion of ion dynamics

“…It is observed that high density spikes and sawtooth like structure of the electric field are seen when the positive ion density is low (α = 0.5). This is the signature of the wave breaking [30][31][32][33][34][35][36][37]. However, as we increase the value of α we see the occurrence of sinusoidal profile of the electric field.…”