مشخصات پژوهش

In this work, we study the propagati ons of normal frequency modes for quantum hydrodynam ic waves in the linear limit and introduc e a new kind of instability in a double-degenerate plasma. Three different reg imes, namely, low, intermediate, and high magnetic fiel d streng ths are considere d wh ich span the applicability of the work to a wide variety of enviro nments. Distinct behavior is observed for different regimes, for instance, in the laboratory-scale field regime no frequency-m ode instability occurs unlike those of intermedi ate and high magnetic-field strength regimes. It is also fo und that the instability of this kind is due to the heavy-fermion s which appear below a critical effective-mass parameter ( lcr ¼ ffiffiffi p3) and that the responses of the two (lower and upper frequency) modes to fractional effective-mass change in different effective-mass parameter ranges (below and above the critical value) are quite opposite to each other. It is shown that the heavy-fermion instability due to extremely high magnetic field such as that encountered for a neutron-star crust can lead to confinement of stable propagations in both lower and upper frequency modes to the magnetic poles. Current study can have important implications for linear wave dynamics in both laboratory and astrophysical environments possessing high magnetic fields