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Tuesday, November 20th 2018

11:15 am:

In this talk I will discuss the effects of hydrodynamic

fluctuations in non-relativistic and relativistic setups. Within the

framework of stochastic hydrodynamics I obtain a number of model

independent results, including the long-time tail of different

transport coefficients, and the leading non-analyticity of the

correlators of energy, momentum and particle density in

non-relativistic and relativistic setups. The presence of hydrodynamic

fluctuations induce lower bounds on the transport coefficients by

analyzing the low frequency limit of different correlation functions.

I determine the lower bounds of the bulk viscosity over entropy ratio

in a cold Fermi gas near unitarity. When extending this analysis to

the case of a U(1) conformal relativistic expanding fluid we observe

that the values of the shear viscosity and heat conductivity are

bounded from below. In both setups, non-relativistic and relativistic

one, the lower bounds on the transport coefficients are weakly

dependent on assumptions regarding the range of applicability of fluid

dynamics.

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