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SUMMARY:Many-body Chaos in Thermalised Fluids - Samriddhi Sankar Ray (Inte
 rnational Centre for Theoretical Sciences\, TIFR\, Bangalore\, Tata Instit
 ute of Fundamental Research)
DTSTART:20220310T143000Z
DTEND:20220310T153000Z
UID:TALK170675@talks.cam.ac.uk
DESCRIPTION:\n\n\nLinking thermodynamic variables like temperature and the
  measure of chaos\, the Lyapunov exponents\, is a question of fundamental 
 importance in many-body systems. By using nonlinear fluid equations in&nbs
 p\;one and three dimensions\, we show that in thermalized flows that the L
 yapunov exponent scales as the square-root of the temperature\, in agreeme
 nt with results from frustrated spin systems. This suggests an underlying 
 universality and provides evidence for recent conjectures on the thermal s
 caling of the Lyapunov exponent. We also reconcile seemingly disparate eff
 ects&mdash\;equilibration on one hand and pushing systems out of equilibri
 um on the other&mdash\;of many-body chaos by relating the two through the 
 dynamical structures of the flow.\nIn the second half of the talk\, I will
  discuss recent results on how thermalisation can be suppressed to obtain 
 (numerical) estimates for and against blow-ups.&nbsp\;\nThis work is done 
 with Sugan Murugan\, Dheeraj Kumar and Subhro Bhattacharjee.\n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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