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SUMMARY:Pattern formation by turbulent cascades - Michel Fruchart (ESPCI P
 aris)
DTSTART:20231003T120000Z
DTEND:20231003T130000Z
UID:TALK205690@talks.cam.ac.uk
CONTACT:Sarah Loos
DESCRIPTION:Fully developed turbulence is a universal and scale-invariant 
 chaotic state characterized by an energy cascade from large to small scale
 s where the cascade is eventually arrested by dissipation. In this talk\, 
 we will discuss how to harness these seemingly structureless turbulent cas
 cades to generate patterns. Pattern formation entails a process of wavelen
 gth selection\, which in its simplest incarnation can be traced to the lin
 ear instability of a homogeneous state. By contrast\, the mechanism we pro
 pose here is fully non-linear. It is triggered by a non-dissipative arrest
  of turbulent cascades: energy piles up at an intermediate scale\, which i
 s neither the system size nor the smallest scales at which energy is usual
 ly dissipated.\nThe tunable wavelength of these cascade-induced patterns c
 an be set by a non-dissipative transport coefficient called odd viscosity 
 ubiquitous in chiral fluids ranging from bio-active to quantum systems.\nB
 eyond fluids with odd viscosity\, we will discuss how cascade-induced patt
 erns may also arise in other structured fluids as well as in contexts such
  as pulverization where mass rather than energy cascades.
LOCATION:Center for Mathematical Sciences\, Lecture room MR4
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