In the late 1980s, Sam Edwards proposed a possible statistical-mechanical framework to describe the properties of disordered granular materials(1). A key assumption underlying the theory was that all jammed packings are equally likely. In the intervening years it has never been possible to test this bold hypothesis directly. Here we present simulations that provide direct evidence that at the unjamming point, all packings of soft repulsive particles are equally likely, even though generically, jammed packings are not. Typically, jammed granular systems are observed precisely at the unjamming point since grains are not very compressible. Our results therefore support Edwards' original conjecture. We also present evidence that at unjamming the configurational entropy of the system is maximal.
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Department of Chemistry, University of Cambridge, Lensfield Road, CambridgeDepartment of Chemistry, University of Cambridge, Lensfield Road, Cambridge
Martiniani S.
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Schrenk K.J.
Ramola K.
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Martin Fisher School of Physics, Brandeis University, Waltham, 02454, MADepartment of Chemistry, University of Cambridge, Lensfield Road, Cambridge
Ramola K.
Chakraborty B.
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Martin Fisher School of Physics, Brandeis University, Waltham, 02454, MADepartment of Chemistry, University of Cambridge, Lensfield Road, Cambridge
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CUNY City Coll, Levich Inst, New York, NY 10031 USA
CUNY City Coll, Dept Phys, New York, NY 10031 USACUNY City Coll, Levich Inst, New York, NY 10031 USA
Wang, Kun
Song, Chaoming
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Northeastern Univ, Dept Phys Biol & Comp Sci, Ctr Complex Network Res, Boston, MA 02115 USACUNY City Coll, Levich Inst, New York, NY 10031 USA
Song, Chaoming
Wang, Ping
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Harvard Univ, FAS Ctr Syst Biol, Cambridge, MA 02138 USACUNY City Coll, Levich Inst, New York, NY 10031 USA
Wang, Ping
Makse, Hernan A.
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CUNY City Coll, Levich Inst, New York, NY 10031 USA
CUNY City Coll, Dept Phys, New York, NY 10031 USACUNY City Coll, Levich Inst, New York, NY 10031 USA