Abstract
How many state-variables are needed to predict the equation of
state and the jamming density of polydisperse mixtures in glassy,
non-equilibrium compressed states? We propose to define equivalent
andmaximally equivalent systems as those that match three and
five moments of a given polydisperse size distribution, respectively.
Fluids can be represented well by an equivalent system with only
s ¼ 2 components (bidisperse). As little as s ¼ 3 components (tridisperse)
are enough to achieve a maximally equivalent system. Those
match macroscopic properties in glassy states, but also the volume
fraction of rattlers, suggesting strong microstructural equivalency
too. For many soft and granular systems, tridisperse, maximally
equivalent systems allow for a closed analytical treatment and wellcontrolled
industrial applications, while our proposal waits for
experimental validation.
Original language | English |
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Pages (from-to) | 9530-9534 |
Number of pages | 5 |
Journal | Soft matter |
Volume | 9 |
DOIs | |
Publication status | Published - 2013 |
Keywords
- METIS-301984
- IR-89125