Fluctuations, Critical Point, and Hydrodynamics

Xin An (N.C.N.R. Warsaw)

Tuesday 14th November, 2023 16:00-17:00 Maths 311B

Abstract

Title: Fluctuations, Critical Point, and Hydrodynamics

 

Fluctuations are ubiquitous phenomena emerging on all physical length scales. As per the central limit theorem, fluctuations play a crucial role in determining properties and dynamics that become manifest when the system’s degrees of freedom are notably finite. In this talk, I will begin by discussing fluctuations in thermodynamic equilibrium, with a specific focus on the universal phenomena associated with a critical point. Following that, I will integrate fluctuations into hydrodynamics for conserved quantities including energy, momentum, and charge. This integration leads to a description of nonequilibrium fluctuation dynamics through a closed set of nonlinear differential equations for n-point correlation functions. 

 

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