Abstract
We present a new formulation of the jamming phase diagram for a class of glass-forming fluids consisting of spheres interacting via finite-ranged repulsions at temperature , packing fraction or pressure , and applied shear stress . We argue that the natural choice of axes for the phase diagram are the dimensionless quantities , , and , where is the temperature, is the pressure, is the stress, is the sphere diameter, is the interaction energy scale, and is the sphere mass. We demonstrate that the phase diagram is universal at low ; at low pressure, observables such as the relaxation time are insensitive to details of the interaction potential and collapse onto the values for hard spheres, provided the observables are nondimensionalized by the pressure. We determine the shape of the jamming surface in the jamming phase diagram, organize previous results in relation to the jamming phase diagram, and discuss the significance of various limits.
- Received 30 November 2010
DOI:https://doi.org/10.1103/PhysRevE.83.031503
©2011 American Physical Society