Document Detail


Hypocoordinated solids in particulate media.
MedLine Citation:
PMID:  25019766     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
We propose a "phase diagram" for particulate systems with purely repulsive contact forces, such as granular media and colloids. We characterize two classes of behavior as a function of the input kinetic energy per degree of freedom T_{0} and packing fraction deviation from jamming onset Δϕ=ϕ-ϕ_{J} using simulations of frictionless disks. Isocoordinated solids (ICS) exist above jamming; they possess an average contact number equal to the isostatic value z_{iso}. ICS display "strict" harmonic response, where the density of vibrational modes from the Fourier transform of the velocity autocorrelation function is a set of sharp peaks at eigenfrequencies ω_{k}^{d} of the dynamical matrix. In contrast, hypocoordinated solids (HCS) occur above and below jamming and possess fluctuating networks of interparticle contacts but do not undergo cage-breaking particle rearrangements. The density of vibrational frequencies for the HCS is not a collection of sharp peaks at ω_{k}^{d}, but it does possess a common form over a range of Δϕ and T_{0}.
Authors:
Thibault Bertrand; Carl F Schreck; Corey S O'Hern; Mark D Shattuck
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Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2014-6-12
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  89     ISSN:  1550-2376     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2014 Jun 
Date Detail:
Created Date:  2014-7-14     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  -    
Other Details:
Languages:  ENG     Pagination:  062203     Citation Subset:  -    
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