Structural properties of dense hard sphere systems near random close packing

2011 ◽  
Author(s):  
B. A. Klumov ◽  
S. A. Khrapak ◽  
G. E. Morfill ◽  
Vladimir Yu. Nosenko ◽  
Padma K. Shukla ◽  
...  
Keyword(s):  
Structural Properties ◽  
Hard Sphere ◽  
Close Packing ◽  
Random Close Packing

scholarly journals Random close packing from hard-sphere Percus-Yevick theory

2019 ◽  
Vol 99 (1) ◽  
Author(s):  
Eytan Katzav ◽  
Ruslan Berdichevsky ◽  
Moshe Schwartz
Keyword(s):  
Hard Sphere ◽  
Close Packing ◽  
Random Close Packing

New bounds on the sedimentation velocity for hard, charged and adhesive hard-sphere colloids

2011 ◽  
Vol 667 ◽  
pp. 403-425 ◽  
Author(s):  
W. TODD GILLELAND ◽  
SALVATORE TORQUATO ◽  
WILLIAM B. RUSSEL
Keyword(s):  
Brownian Motion ◽  
Upper Bound ◽  
Hard Sphere ◽  
Large Scale ◽  
Hard Spheres ◽  
Colloidal Dispersions ◽  
Sedimentation Velocity ◽  
Close Packing ◽  
Interparticle Potential ◽  
Equilibrium Microstructure

The sedimentation velocity of colloidal dispersions is known from experiment and theory at dilute concentrations to be quite sensitive to the interparticle potential with attractions/repulsions increasing/decreasing the rate significantly at intermediate volume fractions. Since the differences necessarily disappear at close packing, this implies a substantial maximum in the rate for attractions. This paper describes the derivation of a robust upper bound on the velocity that reflects these trends quantitatively and motivates wider application of a simple theory formulated for hard spheres. The treatment pertains to sedimentation velocities slow enough that Brownian motion sustains an equilibrium microstructure without large-scale inhomogeneities in density.

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