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SUMMARY:[NT/RBRC seminar] Lyapunov exponent: Measure of Chaotic Dynamics i
 n Boost-Invariant Glasma
DTSTART:20260708T150000Z
DTEND:20260708T170000Z
DTSTAMP:20260716T195200Z
UID:indico-event-33402@indico.bnl.gov
DESCRIPTION:Speakers: Pooja (Jyvaskyla U.)\n\nWe study the classical chaot
 icity of the glasma\, the far-from-equilibrium gluonic state formed in the
  early stages of heavy-ion collisions\, using 2+1D real-time lattice simul
 ations within the McLerran-Venugopalan model. By monitoring the evolution 
 of small perturbations in boost-invariant color fields\, we demonstrate th
 at fluctuations grow exponentially as $\\sim \\exp(\\lambda \\sqrt{g^2\\mu
 \\tau})$\, where $g^2\\mu$ is proportional to the saturation scale\, $Q_s$
 \, of the system. Hence\, we extract a universal leading Lyapunov exponent
  of $\\lambda \\approx 0.39 \\pm 0.02$. This growth rate is remarkably rob
 ust across various initial momentum-space filters\, including Gaussian\, p
 ower-law\, and shell kernels. In particular\, the unstable mode couples to
  all momentum scales present in the initial perturbation. Next\, the domin
 ant unstable mode couples both longitudinal electric and magnetic field se
 ctors\, which are independent in a purely linearized approximation. Our re
 sults suggest that chaos is a collective property of non-linear Yang-Mills
  dynamics\, independent of numerical regulators such as lattice volume and
  spacing. Moreover\, we extend this chaotic analysis to the transport of h
 ard probes\, studying their trajectories as they propagate through the evo
 lving non-Abelian fields using Wong's equations.\n\nhttps://indico.bnl.gov
 /event/33402/
LOCATION:CFNS library (https://bnl.zoomgov.com/j/1614715193?pwd=WkwxODVWdz
 Zzb29zQnZRVGp3VTBDQT09)
URL:https://indico.bnl.gov/event/33402/
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