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SUMMARY:Patterns and flows: from turbulence to morphogenesis - Vincenzo Vi
 telli (University of Chicago)
DTSTART:20230705T110000Z
DTEND:20230705T113000Z
UID:TALK201145@talks.cam.ac.uk
DESCRIPTION:Fully developed turbulence is a universal and scale-invariant 
 chaotic state characterized by an energy cascade from large to small scale
 s where it is eventually arrested by dissipation. In this talk\, we discus
 s how to harness these seemingly structureless turbulent cascades to gener
 ate patterns. Pattern formation entails a process of wavelength selection 
 which\, in its simplest incarnation\, can be traced to the linear instabil
 ity of a homogeneous state. The mechanism we propose here is fully non-lin
 ear. It is triggered by a non-dissipative arrest of turbulent cascades: en
 ergy piles up at an intermediate scale\, which is neither the system size 
 nor the smallest scales at which energy is dissipated. The tunable wavelen
 gth of these cascade-induced patterns can be set by a non-dissipative tran
 sport coefficient called odd or gyro viscosity ubiquitous in chiral system
 s ranging from plasma to bio-active media. Cascade-induced patterns could 
 also occur in natural systems such as atmospheric or astrophysical flows a
 s well as the pulverization of objects or the coagulation of droplets wher
 e mass rather than energy cascades. Finally\, we discuss how spatial patte
 rns in the distribution of cytoskeletal proteins trigger morphogenetic flo
 ws in fruit fly embryos. Using a suite of machine learning techniques we d
 iscover a closed-loop dynamical system that controls fruit fly morphogenes
 is during gastrulation and validate it with a mutant analysis.
LOCATION:Seminar Room 1\, Newton Institute
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