Jamming and rheology: an introduction
Fig. 1. Schematic jamming phase diagram. Here, the tem perature, pressure and shear stress are scaled to be dimen sionless. In the case where the particles have some modulus M and repel each other bv deforming each other, we have scaled shear stress by s"=s!M. inverse Dressure by 1 / p9 - M / p and temperature by T* = kT / Ma3, where a is the size of the individual particles. (The pressure could in principle be replaced by the density as was originally done .) When the interactions are attractive, the axes must be scaled differently; for systems with Lennard-Jones interac tions
for example, we use the scalings T* — kT Is and s*=sa3/e. In addition, we note that the pressure axis must be shifted because a negative pressure is required to achieve a low density, so \/ρ*=ε/οΐ(ρ+ρ0).