We investigate a dynamical system consisting of N particles moving on a d-dimensional torus under
the action of an electric field E with a Gaussian thermostat to keep the total energy constant.
The particles are also subject to stochastic collisions which randomize direction but do not change
the speed. We prove that in the van Hove scaling limit, E -> 0 and t -> t/E^2, the trajectory of the
speeds v_i is described by a stochastic differential equation corresponding to diffusion on a constant
energy sphere. Our results are based on splitting the system's evolution into a "slow" process and an
independent "noise". We show that the noise, suitably rescaled, converges to a Brownian motion.
Then we employ the Ito-Lyons continuity theorem to identify the limit of the slow process.