Jamming criticality revealed by removing localized buckling excitations.

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2015-03-27

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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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10.1103/PhysRevLett.114.125504

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Charbonneau, Patrick, Eric I Corwin, Giorgio Parisi and Francesco Zamponi (2015). Jamming criticality revealed by removing localized buckling excitations. Phys Rev Lett, 114(12). p. 125504. 10.1103/PhysRevLett.114.125504 Retrieved from https://hdl.handle.net/10161/12619.

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Charbonneau

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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