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SUMMARY:Predrag Cvitanović (Georgia Tech)
DTSTART:20211206T170000Z
DTEND:20211206T180000Z
DTSTAMP:20260423T021349Z
UID:QM3/59
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QM3/59/">Her
 ding Cats: A Chaotic Field Theory</a>\nby Predrag Cvitanović (Georgia Tec
 h) as part of Quantum Matter meets Maths (IST\, Lisbon)\n\n\nAbstract\nSup
 pose you find yourself face-to-face with Young-Mills or Navier-Stokes or a
  nonlinear PDE or a funky metamaterial or a cloudy day. And you ask yourse
 lf\, is this thing "turbulent" What does that even mean?\n\nIf you were ha
 d a serious course on 'chaos'\, as Professor Ribeiro had\, you must have l
 earned about the coin toss (Bernoulli map). I'll walk you through this bas
 ic example of deterministic chaos\, than through the 'kicked rotor'\, a ne
 at physical system that is chaotic\, and then put infinity of these togeth
 er to explain what `chaos' or `turbulence' looks like in the spacetime.\n\
 nWhat emerges is a spacetime which is very much like a big spring mattress
  that obeys the familiar continuum versions of a harmonic oscillator\, the
  Helmholtz and Poisson equations\, but instead of being "springy"\, this m
 etamaterial has an unstable rotor at every lattice site\, that gives\, rat
 her than pushes back. We call this simplest of all chaotic field theories 
 the `spatiotemporal cat'. There is a QM^3 version\, ask Boris Gutkin or To
 maž Prosen to tell\nyou about it.\n\nIn the spatiotemporal formulation of
  turbulence there is no evolution in time\, there are only a repertoires o
 f admissible spatiotemporal patterns. In other words: throw away your inte
 grators\, and look for guidance in clouds' repeating patterns.\n\nThat's `
 turbulence'. $\\href{https://www.youtube.com/watch?v=_JZom_gVfuw}{\\text{A
 nd if you don't know\, now you know.}}$\n\n----------------------------\n\
 nNo actual cats\, graduate or undergraduate\, have shown interest in\, or 
 were harmed during this research.\n
LOCATION:https://researchseminars.org/talk/QM3/59/
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