Ballistic Modes as a Source of Anomalous Charge Noise

TL;DR

This paper investigates how ballistic modes induce unconventional, highly correlated noise in charge transport, leading to anomalous full counting statistics in quasi-one-dimensional systems, supported by numerical evidence.

Contribution

It introduces the concept that ballistic modes cause anomalous charge noise and demonstrates this through numerical simulations in two different models.

Findings

Ballistic modes generate highly correlated noise along spacetime rays.

Anomalous full counting statistics are observed in continuum fluids and TASEP models.

Numerical evidence supports the theoretical prediction of anomalous charge fluctuations.

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 (TASEP) initialized in a nonequilibrium state.