  Kinetic theory for dilute inertial suspension having soft-core potential is
theoretically investigated. From the analysis of the scattering process, the
expression of the scattering angle is analytically obtained. We derive the flow
curve between the viscosity and the shear rate, which shows two-step
discontinuous shear thickening when we change the softness of the particles.
The molecular dynamics simulation shows that our theoretical results are
consistent with the numerical ones.
