Single-file dynamics with general charge measures

TL;DR

This paper analyzes charge fluctuations in single-file systems with general charge measures, deriving exact distributions and revealing phase transitions in charge fluctuation behavior.

Contribution

It introduces a dressing transformation that links particle and charge fluctuation distributions and explores their asymptotics, including phase transitions.

Findings

Exact finite-time charge fluctuation distribution derived.

Anomalous behavior of typical charge fluctuations in equilibrium.

Identification of first and second order dynamical phase transitions.

Abstract

We study charge fluctuations in single-file dynamics with general charge measures. The exact finite-time distribution of charge fluctuations is obtained in terms of a dressing transformation acting on the finite-time distribution of particle fluctuations. The transformation is mapped to a simple substitution rule for corresponding full-counting statistics. By taking the asymptotics of the dressing transformation we analyze typical and large scale charge fluctuations. Typical charge fluctuations in equilibrium states with vanishing mean charge are anomalous while large charge fluctuations undergo first and second order dynamical phase transitions out of equilibrium.