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Unjamming of Granular Packings as a Constraint Satisfaction Problem: Evidence for a Growing Static Length Scale in Fric-
 

Summary: epl draft
Unjamming of Granular Packings as a Constraint Satisfaction
Problem: Evidence for a Growing Static Length Scale in Fric-
tionless Packings
M. Mailman1
and B. Chakraborty1
1
Martin Fisher School of Physics, Brandeis University, Waltham, Massachusetts 02454
PACS 45.70.-n Granular Systems
PACS 46.65.+g Random Phenomena and Media
PACS 64.60.Ej Studies/Theory of phase transitions of specific substances
Abstract. - An outstanding question in the physics of soft jammed packings concerns the nature
of the correlations that arise near the unjamming transition. In this work, we treat unjamming
as a constraint satisfaction problem and demonstrate that a static correlation function, which
probes sensitivity to boundary conditions, exhibits a diverging correlation length as the packing
is decompressed. This length scale is related to isostaticity, and has been connected earlier to the
existence of soft modes in isostatic packings. The form of the correlation function is remarkably
similar to one predicted in the mosaic theory of the glass transition, and we relate the nature of
the growing correlations to the entropy of packings.
Introduction. There is a class of systems in soft-

  

Source: Ahlers, Guenter - Department of Physics, University of California at Santa Barbara

 

Collections: Physics