Athermal Jamming vs Thermalized Glassiness in Sheared Frictionless Particles

Abstract

Numerical simulations of soft-core frictionless disks in two dimensions are carried out to study behavior of a simple liquid as a function of thermal temperature $T$, packing fraction $\varphi$, and uniform applied shear strain rate $\dot{\gamma }$. Inferring the hard-core limit from our soft-core results, we find that it depends on the two parameters $\varphi$ and $T/\dot{\gamma }$. $T/\dot{\gamma }\to 0$ defines the athermal limit in which a shear driven jamming transition occurs at a well defined ${\varphi }_J$. $T/\dot{\gamma }\to \infty$ defines the thermalized limit where an equilibrium glass transition may take place at a ${\varphi }_G$. This conclusion argues that athermal jamming and equilibrium glassy behavior are not controlled by the same critical point. Preliminary results suggest ${\varphi }_G<{\varphi }_J$.

5 pages, 5 figures

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• Origin of Rigidity in Dry Granular Solids
• Universal relaxation dynamics of sphere packings below jamming
• Dimensionality and viscosity exponent in shear-driven jamming
• Divergence of Viscosity in Jammed Granular Materials: A Theoretical Approach
• Finite size analysis of zero-temperature jamming transition under applied shear stress
• Shear banding, discontinuous shear thickening, and rheological phase transitions in athermally sheared frictionless disks
• Comparison of compression vs shearing near jamming, for a simple model of athermal frictionless disks in suspension
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