  A simple kinetic theory to exhibit a discontinuous shear thickening (DST) is
proposed. The model includes the collision integral and the friction from
environment as well as a thermostat term characterized by $T_{\rm ex}$. The
viscosity of this model is proportional to $\dot\gamma^2$ for large shear rate
$\dot\gamma$, while it is Newtonian for low $\dot\gamma$. The emergence of the
DST is enhanced for lower density and lower nonzero $T_{\rm ex}$.
