The effects of the presence of a uniform magnetic field on the growth rate and the threshold intensity of the two-plasmon decay in a homogeneous plasma have been investigated. Analytical expressions for the growth rate and threshold intensity have been obtained. It has been shown that the presence of a magnetic field affects significantly the growth rate and the threshold intensity for the two-plasmon decay.
The effects of an axial magnetic field on the convective
amplification and the threshold intensity of Raman backscattering
instability in an underdense, inhomogeneous plasma is investigated.
Two cases of incident pump wave were considered. For the R-circularly
polarization case it is shown that the amplification factor increases
with the magnetic field, it also increases with the plasma density
while the threshold intensity decreases. For the L-circularly
polarization case, it is shown that the amplification factor decreases
as the magnetic field and the plasma density increase, while the
threshold intensity increases as the magnetic field increases but it
decreases as the plasma density increases.
The Rayleigh -Taylor (RT) instability is investigated analytically in an inhomogeneous plasma in an external magnetic field. For the case of two distinct fluid layers separated by a sharp boundary and for a fluid of a continuously varying density, RT dispersion relations have been obtained and analyzed. Stability criteria of the excited modes are disscussed with respect to the mode propagation relative to the applied magnetic field. The magnetic field is found to act as a stabilizer up to a threshold value that can be determined from the dispersion relation.
The initial susceptibility of a textured fine-particle system has been calculated for a log-normal and Gaussian particle-size distribution. The texture considered would result from cooling a fine-particle system such as a ferrofluid below the melting point Tf in the presence of magnetic fields of different values. Both strong coupling cases (af=am>1) and weak coupling cases (af=am<1) are considered. It is concluded that the susceptibility depends appreciably on the value of the standard deviation sigma for the strong coupling case but is much less sensitive to variations in sigma for weak coupling. The susceptibility is essentially determined only by the distribution of superparamagnetic particles in the system and since this varies with sigma some change in susceptibility is to be expected. The effect of terminating the distribution at a specific value of yu=D/Dv is also considered.
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