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Hydrodynamics, macroscopic fluctuations and long-range correlations

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SPLW01 - Building a bridge between non-equilibrium statistical physics and biology

Predicting the behaviour of many-body systems at large scales of space and time is one of the most important problems of emergent physics. Hydrodynamics provides a powerful framework, which allows us to describe in a universal fashion macroscopic motion and fluctuations on top of it. I will discuss the general form of the hydrodynamic equations, how it is constrained by principles of statistical mechanics, and how it gives access to large-scale fluctuations and correlations. I will explain how “PT symmetry” guarantees entropy production and irreversibility of the hydrodynamic equation, and I will introduce the ``ballistic macroscopic fluctuation theory” (BMFT), which predicts that long-range spatial correlations develop over time if the initial state of the many-body system is spatially inhomogeneous. This is based on works with J. De Nardis, and with G. Perfetto, T. Sasamoto and T. Yoshimura. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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