Jamming criticality revealed by removing localized buckling excitations.
Abstract
Recent theoretical advances offer an exact, first-principles theory of jamming criticality
in infinite dimension as well as universal scaling relations between critical exponents
in all dimensions. For packings of frictionless spheres near the jamming transition,
these advances predict that nontrivial power-law exponents characterize the critical
distribution of (i) small interparticle gaps and (ii) weak contact forces, both of
which are crucial for mechanical stability. The scaling of the interparticle gaps
is known to be constant in all spatial dimensions d-including the physically relevant
d=2 and 3, but the value of the weak force exponent remains the object of debate and
confusion. Here, we resolve this ambiguity by numerical simulations. We construct
isostatic jammed packings with extremely high accuracy, and introduce a simple criterion
to separate the contribution of particles that give rise to localized buckling excitations,
i.e., bucklers, from the others. This analysis reveals the remarkable dimensional
robustness of mean-field marginality and its associated criticality.
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https://hdl.handle.net/10161/12619Published Version (Please cite this version)
10.1103/PhysRevLett.114.125504Publication Info
Charbonneau, Patrick; Corwin, Eric I; Parisi, Giorgio; & Zamponi, Francesco (2015). Jamming criticality revealed by removing localized buckling excitations. Phys Rev Lett, 114(12). pp. 125504. 10.1103/PhysRevLett.114.125504. Retrieved from https://hdl.handle.net/10161/12619.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Patrick Charbonneau
Professor of Chemistry
Professor Charbonneau studies soft matter. His work combines theory and simulation
to understand the glass problem, protein crystallization, microphase formation, and colloidal
assembly in external fields.

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