The author considers the fluctuation field \[ \xi^{(L)}_{\alpha}=\sqrt{N} \Biggl({1\over{N}}\sum_{i=1}^N \delta_{x_i(t)} \chi_{(\alpha_i=\alpha)} -f_{\alpha} (x,t) dx\Biggr) \] of a probabilistic discrete velocity particle system on a \(d\)-dimensional torus in the limit where \(N L^{-d}\) stays uniformly positive and bounded. Two particles within a distance of order \(L^{-1}\) collide stochastically through a continuously differentiable potential. If the system is in thermal equilibrium, i.e., if the \(f_{\alpha}\) satisfy the Maxwell equilibrium conditions for discrete velocity models, it is proved that the \(\xi_{\alpha}^L\) converges (as \(N\rightarrow \infty, \quad L\rightarrow 0, \quad NL^{-d} \rightarrow\)const.) to an Ornstein-Uhlenbeck process.