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

Abstract

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.

Rheology of a dilute binary mixture of inertial suspension under simple shear flow

“…A refined suspension model including a Langevin-like term has been more recently considered in Refs. [12,13,[15][16][17]. The quantitative validity of these studies has already been verified by the event-driven Langevin simulation for hard spheres (EDLSHS) [15,16,18].…”

Mpemba effect in inertial suspensions

“…On the other hand, the model with T env = 0 has several defects because (i) suspensions are not stable against clustering if there are no thermal agitations, (ii) the viscosity and the drag become zero in the zero-temperature limit, and (iii) thermal equilibrium states cannot be recovered in the unsheared situation. The series of our recent papers [24,25,27,38] can be regarded as an up-to-date analysis for steady states of inertial suspensions at finite densities. In particular, Ref.…”