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SUMMARY:Power-law distributions for the areas of the basins of attraction 
 on a potential energy landscape - Robert Baldock (University of Cambridge)
DTSTART:20120217T153000Z
DTEND:20120217T160000Z
UID:TALK35985@talks.cam.ac.uk
CONTACT:Daniel Cole
DESCRIPTION:"Massen and Doye\, Phys. Rev. E\, 75\, 037101 (2007) ":http://
 link.aps.org/doi/10.1103/PhysRevE.75.037101\n\nEnergy landscape approaches
  have become increasingly popular for analyzing a wide variety of chemical
  physics phenomena. Basic to many of these applications has been the inher
 ent structure mapping\, which divides up the potential energy landscape in
 to basins of attraction surrounding the minima. Here\, we probe the nature
  of this division by introducing a method to compute the basin area distri
 bution and applying it to some archetypal supercooled liquids. We find tha
 t this probability distribution is a power law over a large number of deca
 des with the lower-energy minima having larger basins of attraction. Inter
 estingly\, the exponent for this power law is approximately the same as th
 at for a high-dimensional Apollonian packing\, providing further support f
 or the suggestion that there is a strong analogy between the way the energ
 y landscape is divided into basins\, and the way that space is packed in s
 elf-similar\, space-filling hypersphere packings\, such as the Apollonian 
 packing. These results suggest that the basins of attraction provide a fra
 ctal-like tiling of the energy landscape\, and that a scale-free pattern o
 f connections between the minima is a general property of energy landscape
 s.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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