|
Abstract
|
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
|