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SUMMARY:Hydrodynamics\, macroscopic fluctuations and long-range correlatio
 ns - Benjamin Doyon (King's College London)
DTSTART:20230704T103000Z
DTEND:20230704T110000Z
UID:TALK201112@talks.cam.ac.uk
DESCRIPTION:Predicting the behaviour of many-body systems at large scales 
 of space and time is one of the most important problems of emergent physic
 s. Hydrodynamics provides a powerful framework\, which allows us to descri
 be in a universal fashion macroscopic motion and fluctuations on top of it
 . I will discuss the general form of the hydrodynamic equations\, how it i
 s constrained by principles of statistical mechanics\, and how it gives ac
 cess to large-scale fluctuations and correlations. I will explain how &ldq
 uo\;PT symmetry&rdquo\; guarantees entropy production and irreversibility 
 of the hydrodynamic equation\, and I will introduce the ``ballistic macros
 copic fluctuation theory&rdquo\; (BMFT)\, which predicts that long-range s
 patial correlations develop over time if the initial state of the many-bod
 y system is spatially inhomogeneous.\nThis is based on works with J. De Na
 rdis\, and with G. Perfetto\, T. Sasamoto and T. Yoshimura.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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