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UID:UW-Physics-Event-2139
DTSTART:20110526T150000Z
DURATION:PT1H0M0S
DTSTAMP:20260420T115911Z
LAST-MODIFIED:20110426T195929Z
LOCATION:5310 Chamberlin
SUMMARY:Frenkel-Kontorowa Models\, Pinned Particle Configurations and 
 Burgers Shocks\, R. G. Herb Condensed Matter Seminar\, Muhittin Mungan
 \, Dept. of Physics\, Boğaçizi University\, Istanbul
DESCRIPTION:We consider the relationship between the lowest energy con
 figurations of an infinite harmonic chain of particles in a periodic p
 otential and the evolution of characteristics in a periodically-forced
  inviscid Burgers equation. The shock discontinuities in the Burgers e
 volution arise from thermodynamical considerations and play an importa
 nt role as they separate out flows related to lowest energy configurat
 ions from those associated with higher energies containing defects. We
  will explicitly work out the flow patterns in  the exactly solvable c
 ase of an external potential consisting of parabolic segments\,and and
  show how the lowest energy configurations\, as well as excited states
  exhibiting can be calculated analytically within this settings. The d
 escription of lowest energy configurations of a discrete mechanical mo
 del such as the Frenkel-Kontorowa model in terms of the characteristic
  flows of a periodically forced hyperbolic PDE also provides and inter
 esting example for the interplay between thermodynamical arguments and
  the mathematical notion of weak solutions and convergence.
URL:https://www.physics.wisc.edu/events/?id=2139
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