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Published on: September 4, 2015
Universal jamming phase diagram in the hard-sphere limit
Thomas K Haxton1, Michael Schmiedeberg, Andrea J Liu
1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
Summary
This study introduces a new jamming phase diagram for glass-forming fluids, revealing universal behavior at low pressures. The proposed dimensionless axes simplify understanding fluid dynamics under stress.
Area of Science:
- Soft Matter Physics
- Statistical Mechanics
- Materials Science
Background:
- Glass-forming fluids exhibit complex phase behavior near the jamming transition.
- Understanding the jamming phase diagram is crucial for predicting material properties.
- Previous studies lacked a unified framework for organizing jamming phenomena.
Purpose of the Study:
- To propose a new, universal jamming phase diagram for glass-forming fluids.
- To identify natural dimensionless axes for describing the phase diagram.
- To organize existing experimental and simulation results within this new framework.
Main Methods:
- Formulation of a new jamming phase diagram using dimensionless quantities.
- Analysis of sphere-based glass-forming fluids with finite-ranged repulsions.
- Investigation of the phase diagram's behavior at varying temperature, pressure, and shear stress.
Main Results:
- The proposed axes are T/pσ³, pσ³/ε, and Σ/p.
- The jamming phase diagram exhibits universal behavior at low pressures (low pσ³/ε).
- Observables like relaxation time become pressure-independent when appropriately nondimensionalized.
Conclusions:
- The new formulation provides a unified framework for jamming phenomena.
- Universality at low pressures simplifies the understanding of glass-forming fluids.
- The proposed phase diagram aids in organizing and interpreting diverse experimental and simulation data.
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