Relativistic degenerate effects of electrons and positrons on modulational instability of quantum ion acoustic waves in dense plasmas with two polarity ions<xref ref-type="fn" rid="cpb141285fn1">*</xref>

Relativistic degenerate effects of electrons and positrons on modulational instability of quantum ion acoustic waves in dense plasmas with two polarity ions*

Liu Tie-Lu, Wang Yun-Liang†, Lu Yan-Zhen

Modulational instability growth rates in the weakly relativistic case and the ultrarelativistic case for different ratios of negative ion temperature to positive ion temperature: (a) σ = 1.0 (solid–red line), σ = 1.6 (dash–dotted green line), σ = 2.0 (dashed–black line), and σ = 2.4 (dotted–blue line); (b) σ = 1.0 (solid–red line), σ = 2.0 (dash–dotted green line), σ = 3.0 (dashed–black line), and σ = 4.0 (dotted–blue line) with k = 0.8, ν = 0.6 and k = 0.5, ν = 0.35 respectively and for different ratios of negative ion number density to positive ion number density: (c) ν = 0.45 (solid–red line), ν = 0.55 (dash–dotted green line), ν = 0.65 (dashed–black line), ν = 0.75 (dotted–blue line); (d) ν = 0.15 (solid–red line), ν = 0.20 (dash–dotted green line), ν = 0.25 (dashed–black line), ν = 0.30 (dotted–blue line) with k = 0.8, σ = 1 and k = 0.5, σ = 1 respectively.