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Kinetic theory for dilute inertial suspension having soft-core potential istheoretically investigated. From the analysis of the scattering process, theexpression of the scattering angle is analytically obtained. We derive the flowcurve between the viscosity and the shear rate, which shows two-stepdiscontinuous shear thickening when we change the softness of the particles.The molecular dynamics simulation shows that our theoretical results areconsistent with the numerical ones.

Two-Step Discontinuous Shear Thickening of Dilute Inertial Suspensions Having Soft-Core Potential