Effect of arbitrary temperature degeneracy and ion magnetization on shear Alfven waves in electron‐positron‐ion plasmas

Abstract

Linear properties of low‐frequency electromagnetic shear Alfven waves (SAWs) are studied in quantum electron‐positron‐ion plasmas with effect of arbitrary temperature degeneracy for magnetized (ω2≪ωnormalci2≪ωce,cp2) and unmagnetized (ωnormalci2≪ω2≪ ωce,cp2) ions by using the quantum hydrodynamic model. Dispersion relations are derived for nearly degenerate (ξ=expμKBTnormale,normalp≫1) and nearly non‐degenerate (ξ=expμKBTnormale,normalp≪1) plasmas. Bohm potential due to density correlation and temperature degeneracy due to Fermi–Dirac statistics of electron–positron, and their effects on the dispersion of SAWs are studied in detail both analytically and numerically. The relevance of the work regarding dense astrophysical plasmas is highlighted.