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UID:9d5f8b2b33c4f3feba0c87f27e0dad62
CATEGORIES:Mathematical Physics Seminar
CREATED:20210712T105918
SUMMARY:Random Close Packing as a Dynamical Phase Transition
LOCATION:zoom
DESCRIPTION:<p style="margin-bottom: 6px; text-align: center; background-image: initial
 ; background-position: initial; background-repeat: initial; background-atta
 chment: initial;">&nbsp;</p><p style="margin-bottom: 6px; text-align: cente
 r; background-image: initial; background-position: initial; background-repe
 at: initial; background-attachment: initial;">Wednesday, July 14, <strong>1
 0</strong><strong>:45AM</strong><strong> (Zoom meeting starts at 10:30)</st
 rong></p><p style="text-align: center;"><strong>“”</strong><strong>&nbsp;</
 strong></p><p>“Random Close Packing” is an ancient problem. RCP - the dense
 st packing of spheres poured into a jar described in Biblical times (Luke 6
 :38, KJV) as, “pressed down, and shaken together, and running over” - has e
 scaped a noncontroversial definition although many experiments and simulati
 ons agree to a value ?RCP&nbsp; ~0.64. We have found that a simple model, “
 Biased Random Organization”, BRO, exhibits a dynamical phase transition bet
 ween absorbing (non-overlapping) and active states that appears to have RCP
  as its critical endpoint. In Random Organization, RO, overlapping particle
 s are each given a random displacement &lt; ?. In BRO some fraction of repu
 lsive displacements are added. For 3D BRO we find ?cMAX&nbsp; ~ 0.64 ~ ?RCP
 , isostatic coordination, Z=6,&nbsp; and a similar radial distribution func
 tion as found in previous RCP experiments and simulations. BRO, an absorbin
 g state model, remains in the Manna universality class. Such models are hyp
 eruniform at critical, S(q?0) ~q?. For the Manna class, ?3D =0.25. At ?cMAX
 , we show that BRO other protocols for RCP have very similar S(q) with ?3D 
 =0.25. Characterizing RCP as the highest density ensemble of BRO configurat
 ions requires neither randomness, nor hyperuniformity, nor jamming which ra
 ther become emergent properties. In 2D BRO yields a rich phase diagram with
  a dense hexagonal crystal, area fraction ~0.91, as its critical endpoint.<
 /p>
CONTACT:Paul Chaikin – New York University
DTSTAMP:20260828T093747
DTSTART;TZID=America/New_York:20210714T104500
DTEND;TZID=America/New_York:20210714T114500
SEQUENCE:0
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