  An investigation of the mesoscopic dynamics of chemical systems whose mass
action equation gives rise to a deterministic chaotic attractor is carried out.
A reactive lattice-gas model for the three-variable autocatalator is used to
provide a mesoscopic description of the dynamics. The global and local dynamics
is studied as a function of system size and diffusion coefficient. When the
diffusion length is comparable to the system size phase coherence is maintained
but the amplitudes of the oscillations are uncorrelated due to interaction
between fluctuations and the instability of the chaotic dynamics. If the
diffusion length is small compared to the system size then phase turbulence
serves to destroy the noisy global attractor.
