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SUMMARY:Dispersion and front propagation in networks and cellular vortex f
 lows: the role of large deviations
DTSTART:20170623T140000
DTEND:20170623T150000
DTSTAMP:20260609T230457Z
UID:6440faddc7b6f110cc0fb7ce9ee5f3cc7b92715c2105c90e94345071
CATEGORIES:Conferences - Seminars
DESCRIPTION:Alexandra Tzella\nWe discuss the dispersion of a diffusive sc
 alar released inside a periodic fluid environment. Motivated by environmen
 tal applications\, the particular focus is on fluid-filled rectangular net
 works and steady cellular vortex flows. We describe how large-deviation th
 eory can be used to provide an approximation for the long-time concentrati
 on that remains valid for large distances from the center of mass\, much b
 eyond the range where a standard Gaussian approximation holds. A byproduct
  of the approach is a closed-form expression for the effective diffusivity
  tensor that governs this Gaussian approximation. The same theory can be u
 sed to describe the speed of propagation of chemical fronts arising in Fi
 sher-Kolmogorov-Petrovskii-Piskunov (FKPP) type reactions. We discuss asym
 ptotic regimes corresponding to distinguished limits of reaction rate (Dam
 köhler number) in the limit of small molecular diffusivity (large Péclet
  number).\n\nJoint work with J Vanneste (University of Edinburgh)\n\n 
LOCATION:BSP 727 https://plan.epfl.ch/?room==BSP%20727
STATUS:CONFIRMED
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