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Ballistic modes as a source of anomalous charge noise
Ewan McCulloch1,2, Romain Vasseur3,2, Sarang Gopalakrishnan1
1Princeton University, Department of Electrical and Computer Engineering, Princeton, New Jersey 08544, USA.
Abstract:
Steady-state currents generically occur both in systems with continuous translation invariance and in nonequilibrium settings with particle drift. In either case, thermal fluctuations advected by the current act as a source of noise for slower hydrodynamic modes. This noise is unconventional, since it is highly correlated along spacetime rays. We argue that, in quasi-one-dimensional geometries, the correlated noise from ballistic modes generically gives rise to anomalous full counting statistics (FCS) for diffusively spreading charges. We present numerical evidence for anomalous FCS in two settings: (1) a two-component continuum fluid and (2) the totally asymmetric exclusion process initialized in a nonequilibrium state.
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