Fluctuations in the Uniform Shear Flow state of a granular gas

We study the fluctuations of the total internal energy of a granular gas under stationary uniform shear flow by means of kinetic theory methods. We find that these fluctuations are coupled to the fluctuations of the different components of the total pressure tensor. Explicit expressions for all the possible cross and auto correlations of the fluctuations at one and two times are obtained in the two dimensional case. The theoretical predictions are compared with Molecular Dynamics simulation and a good agreement is found for the range of inelasticity considered.