  We study by numerical simulations the two-dimensional Inelastic Maxwell Model
(IMM), and show how the inelasticity of collisions together with the
fluctuations of the number of collisions undergone by a particle lead to energy
fluctuations that decay like a power-law. These fluctuations are associated to
a shrinking of the available phase space. We find the asymptotic scaling of
these energy fluctuations and show how they affect the tail of the velocity
distribution during long time intervals.
