  We systematically investigate the properties of the quenched disorder
potential in an atomic waveguide, and study its effects to the dynamics of
condensate in the strong disorder region. We show that even very small wire
shape fluctuations can cause strong disorder potential along the wire
direction, leading to the fragmentation phenomena as the condensate is close to
the wire surface. The generic disorder potential is Gaussian correlated random
potential with vanishing correlations in both short and long wavelength limits
and with a strong correlation weight at a finite length scale, set by the
atom-wire distance. When the condensate is fragmentized, we investigate the
coherent and incoherent dynamics of the condensate, and demonstrate that it can
undergo a crossover from a coherent condensate to an insulating Bose-glass
phase in strong disorder (or low density) regime. Our numerical results
obtained within the meanfield approximation are semi-quantitatively consistent
with the experimental results.
