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Title: Non-Gaussian diffusive fluctuations in Dirac fluids
Dirac fluids—interacting systems obeying particle–hole symmetry and Lorentz invariance—are among the simplest hydrodynamic systems; they have also been studied as effective descriptions of transport in strongly interacting Dirac semimetals. Direct experimental signatures of the Dirac fluid are elusive, as its charge transport is diffusive as in conventional metals. In this paper, we point out a striking consequence of fluctuating relativistic hydrodynamics: The full counting statistics (FCS) of charge transport is highly non-Gaussian. We predict the exact asymptotic form of the FCS, which generalizes a result previously derived for certain interacting integrable systems. A consequence is that, starting from quasi-one-dimensional nonequilibrium initial conditions, charge noise in the hydrodynamic regime is parametrically enhanced relative to that in conventional diffusive metals.  more » « less
Award ID(s):
2334056 2103938 2104141
PAR ID:
10565228
Author(s) / Creator(s):
; ;
Publisher / Repository:
National Academy of Sciences
Date Published:
Journal Name:
Proceedings of the National Academy of Sciences
Volume:
121
Issue:
50
ISSN:
0027-8424
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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