  We discuss the driven harmonic chain with fixed boundary conditions subject
to weak coupling strength disorder. We discuss the evaluation of the Liapunov
exponent in some detail expanding on the dynamical system theory approach by
Levi et al. We show that including mass disorder the mass and coupling strength
disorder can be combined in a renormalised mass disorder. We review the method
of Dhar regarding the disorder-averaged heat current, apply the approach to the
disorder-averaged large deviation function and finally comment on the validity
of the Gallavotti-Cohen fluctuation theorem. The paper is also intended as an
introduction to the field and includes detailed calculations.
