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SUMMARY:Emergent parabolic scaling of nano-faceting crystal growth - Dr St
 ephen Watson\, School of Mathematics and Statistics\, University of Glasgo
 w
DTSTART:20151127T140000Z
DTEND:20151127T150000Z
UID:TALK61014@talks.cam.ac.uk
CONTACT:Ms Helen Gardner
DESCRIPTION:Nano-faceted crystals answer the call for self-assembled\, phy
 sico-chemically tailored materials\, with those arising from a kinetically
  mediated response to free-energy disequilibria (thermokinetics) holding t
 he greatest promise. The dynamics of slightly undercooled crystal–melt i
 nterfaces possessing strongly anisotropic and curvature-dependent surface 
 energy and evolving under attachment–detachment limited kinetics offer a
  model system for the study of thermokinetic effects. The fundamental non-
 equilibrium feature of this dynamics is explicated through our discovery o
 f one-dimensional convex and concave translating fronts (solitons) whose c
 onstant asymptotic angles provably deviate from the thermodynamically expe
 cted Wulff angles in direct proportion to the degree of undercooling. Thes
 e thermokinetic solitons induce a novel emergent facet dynamics\, which is
  exactly characterized via an original geometric matched-asymptotic analys
 is. We thereby discover an emergent parabolic symmetry of its coarsening f
 acet ensembles\, which naturally implies the universal scaling law L∼t1/
 2 for the growth in time t of the characteristic length L.
LOCATION:Oatley Seminar Room\, Department of Engineering
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