Wave breaking limit in arbitrary mass ratio warm plasmas

Abstract

The maximum sustainable amplitude, so‐called wave breaking limit, of a nonlinear plasma wave in arbitrary mass ratio warm plasmas is obtained in the non‐relativistic regime. Using the method of Sagdeev potential, a general wave breaking formula is derived by taking into account the dynamics of both the species having finite temperature. It is found that the maximum amplitude of the plasma wave decreases monotonically with the increase in temperature β−$$ {\beta}_{-} $$ of the negative species (temperature β+$$ {\beta}_{+} $$ of the positive species) and increases (decreases) with increase in mass ratio μ=m−false/m+$$ \mu ={m}_{-}/{m}_{+} $$ provided β−>βcr$$ {\beta}_{-}>{\beta}_{cr} $$ ()β−<βcr$$ \left({\beta}_{-}<{\beta}_{cr}\right) $$, where βcr=1−1−β+1/2/μ2$$ {\beta}_{cr}={\left[1-\left(1-{\beta}_{+}^{1/2}\right)/\sqrt{\mu}\right]}^2 $$.

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

“…The potential for such a single-temperature EP plasma is guaranteed to be symmetric about f = 0 as the constituents have equal mass and temperature as seen in figure 3 (curve 1). This is in agreement with the results reported for the cold equal mass plasma case in [18]. It is interesting to note that this symmetry is maintained even for non-zero values of α and β h , i.e.…”

“…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].…”

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

“…Nonlinear wave dynamics and its breaking phenomena in usual electron-ion plasmas have been a topic of fundamental interest [22][23][24][25][26][27][28][29]. Nevertheless, a very few theoretical studies can be found in the existing literature on the high frequency wave phenomena in classical dusty plasmas [30][31][32][33].…”