IPM Calendar 
Thursday 28 September 2023   Today  
Events for day: Monday 19 June 2023    
           11:00 - 12:00     Journal Club: Experiment & Phenomenology meeting
Bounds on Transport from Univalence and Pole-skipping

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PARTICLES AND ACCELERATORS

Abstract:

Finding the bounds of the transport coefficient has captivated physicists concerned with time-dependent collective dynamics. There have been proposed numerous bounds such as Sachdevs relaxation time bound, lower bounds on diffusion and viscosity, upper bounds on diffusion, and a bound on the speed of sound. These bounds usually rely on physical principles such as the uncertainty principle and causality. In this paper a new set of methods and sufficient conditions, combining analytic properties of hydrodynamics and the theory of univalent (complex holomorphic and injective) functions, for deriving exact, and sharp bou ...