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SUMMARY:Network Properties of Atomic Clusters - John Morgan (University of
  Cambridge)
DTSTART:20161125T120000Z
DTEND:20161125T124000Z
UID:TALK68039@talks.cam.ac.uk
CONTACT:Lisa Masters
DESCRIPTION:A database of minima and transition states is a network in whi
 ch the minima represent nodes and transition states correspond to edges be
 tween the pairs of minima they directly connect. We have constructed such 
 networks for small atomic clusters bound by the Morse potential with hundr
 eds to thousands of minima at a variety of physically relevant ranges\, in
  both two and three dimensions. The properties of the networks are analyse
 d with particular reference to two features: whether the networks are smal
 l-world\, that is a network in which most nodes are not directly connected
 \, but the shortest path between pairs involves only a small number or edg
 es\; and whether the networks are scale-free\, having a degree distributio
 n that follows a power-law. The networks are shown to be small-world. Howe
 ver\, modern statistical tests cast doubt on whether their degree distribu
 tions are scale-free. Morse clusters are compared with systems having a gl
 assy character and the issues related to finding a representative subgraph
  are discussed.
LOCATION:Unilever Lecture Theatre\,  Department of Chemistry
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