Repulsive Contact Interactions Make Jammed Particulate Systems Inherently Nonharmonic

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Repulsive contact interactions make jammed particulate systems inherently nonharmonic.

Many jammed particulate systems, such as granular and colloidal materials, interact via repulsive contact forces. We find that these systems possess no harmonic regime in the large system limit (N→∞) for all compressions Δϕ studied, and at jamming onset Δϕ→0 for all N. We perform fixed energy simulations following perturbations with amplitude δ along eigendirections of the dynamical matrix. The...

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Comment on "Repulsive contact interactions make jammed particulate systems inherently nonharmonic".

In their Letter [1], Schreck, Bertrand, O’Hern and Shattuck (SBOS) study nonlinearities in jammed particulate systems that arise when contacts are altered. They conclude that there is “no harmonic regime in the large system limit (N → ∞) for all compressions ∆φ” and that “the density of vibrational modes cannot be described using the dynamical matrix ..., which dramatically affects mechanical r...

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Contact percolation transition in athermal particulate systems.

Typical quasistatic compression algorithms for generating jammed packings of purely repulsive, frictionless particles begin with dilute configurations and then apply successive compressions with the relaxation of the elastic energy allowed between each compression step. It is well known that during isotropic compression these systems undergo a first-order-like jamming transition at packing frac...

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A subtle relation between quantum Hall physics and the phenomenon of pairing is unveiled. By use of second quantization, we establish a connection between (i) a broad class of rotationally symmetric two-body interactions within the lowest Landau level and (ii) integrable hyperbolic Richardson-Gaudin-type Hamiltonians that arise in (px + ipy) superconductivity. Specifically, we show that general...

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Ultracold fermions with repulsive interactions

An ultracold Fermi gas with repulsive interaction has been studied. For weak interactions, the atomic gas is metastable, and the interactions were characterized by obtaining the isothermal compressibility from atomic density profiles. For stronger interactions (kFa  1), rapid conversion into Feshbach molecules is observed. When the conversion rate becomes comparable to the Fermi energy divided...

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ژورنال

عنوان ژورنال: Physical Review Letters

سال: 2011

ISSN: 0031-9007,1079-7114

DOI: 10.1103/physrevlett.107.078301