  We show the existence of intermittent dynamics in one of the simplest model
of a glassy system: the two-state model, which has been used to explain the
origin of the violation of the fluctuation-dissipation theorem. The dynamics is
analyzed through a Langevin equation for the evolution of the state of the
system through its energy landscape. The results obtained concerning the
violation factor and the non-Gaussian nature of the fluctuations are in good
qualitative agreement with experiments measuring the effective temperature and
the voltage fluctuations in gels and in polymer glasses. The method proposed
can be useful to study the dynamics of other slow relaxation systems in which
non-Gaussian fluctuations have been observed.
