Length scales and self-organization in dense suspension flows. Duering, G.; Lerner, E.; Wyart, M.; Düring, G.; Lerner, E.; and Wyart, M. PHYSICAL REVIEW E, 89(2):022305, AMER PHYSICAL SOC, 2, 2014.
Length scales and self-organization in dense suspension flows [link]Website  abstract   bibtex   
Dense non-Brownian suspension flows of hard particles display mystifying properties: As the jamming threshold is approached, the viscosity diverges, as well as a length scale that can be identified from velocity correlations. To unravel the microscopic mechanism governing dissipation and its connection to the observed correlation length, we develop an analogy between suspension flows and the rigidity transition occurring when floppy networks are pulled, a transition believed to be associated with the stress stiffening of certain gels. After deriving the critical properties near the rigidity transition, we show numerically that suspension flows lie close to it. We find that this proximity causes a decoupling between viscosity and the correlation length of velocities xi, which scales as the length l(c) characterizing the response to a local perturbation, previously predicted to follow lc similar to 1/root zc - z similar to p(0.18), where p is the dimensionless particle pressure, z is the coordination of the contact network made by the particles, and z(c) is twice the spatial dimension. We confirm these predictions numerically and predict the existence of a larger length scale lr similar to root p with mild effects on velocity correlation and of a vanishing strain scale delta gamma similar to 1/p that characterizes decorrelation in flow.
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 title = {Length scales and self-organization in dense suspension flows},
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 year = {2014},
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 month = {2},
 publisher = {AMER PHYSICAL SOC},
 city = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA},
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 abstract = {Dense non-Brownian suspension flows of hard particles display mystifying
properties: As the jamming threshold is approached, the viscosity
diverges, as well as a length scale that can be identified from velocity
correlations. To unravel the microscopic mechanism governing dissipation
and its connection to the observed correlation length, we develop an
analogy between suspension flows and the rigidity transition occurring
when floppy networks are pulled, a transition believed to be associated
with the stress stiffening of certain gels. After deriving the critical
properties near the rigidity transition, we show numerically that
suspension flows lie close to it. We find that this proximity causes a
decoupling between viscosity and the correlation length of velocities
xi, which scales as the length l(c) characterizing the response to a
local perturbation, previously predicted to follow lc similar to 1/root
zc - z similar to p(0.18), where p is the dimensionless particle
pressure, z is the coordination of the contact network made by the
particles, and z(c) is twice the spatial dimension. We confirm these
predictions numerically and predict the existence of a larger length
scale lr similar to root p with mild effects on velocity correlation and
of a vanishing strain scale delta gamma similar to 1/p that
characterizes decorrelation in flow.},
 bibtype = {article},
 author = {Duering, Gustavo and Lerner, Edan and Wyart, Matthieu and Düring, Gustavo and Lerner, Edan and Wyart, Matthieu},
 journal = {PHYSICAL REVIEW E},
 number = {2}
}
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