We reply here to a criticism of our paper (Tsytovich et al.
1996) by Iglesias
In our paper we present a very general formulation of collective effects
bremsstrahlung that is valid for any non-equilibrium non-Maxwellian particle
distribution. This result is given in (2.20) early in the paper. The standard
treatments of bremsstrahlung found in books like Bekefi (1966) are only
thermal plasmas, where the fluctuation–dissipation theorem is valid.
the fluctuation–dissipation theorem cannot be used for non-thermal
fields, and in this respect the method we use is more general. Our
method is the more complex of the approaches used, but, as stated, it can
handle situations that cannot be treated by the standard approach. Our
result is the formula (2.20), which is valid for any non-equilibrium non-Maxwellian
particle distribution, and which cannot be found anywhere else in
the literature. Furthermore, we find new qualitative effects indicating
ion–ion bremsstrahlung (which is always neglected in the literature)
is not small
in the case where the collective effects are taken into account, and is
in fact, for
certain frequencies, of the order of the electron–electron bremsstrahlung.
other qualitatively new result is that, where collective effects are important,
electron–electron bremsstrahlung is not of the order
as it is for the case in the absence of collective effects, but of the
times less –
which, for example in the solar interior, where
is of the order of
of the order of v4Te/c4.