  We study the derivation of a scalar conservation law with stochastic forcing
starting from a stochastic BGK model with a high-field scaling. We prove the
convergence to a new kinetic formulation where appears a modified Maxwellian.
We deduce from it the existence of a weak solution to the scalar conservation
law with stochastic forcing. We establish that this solution satisfies some
Krushkov-like entropy relations.
