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Updated: Jun 12, 2025

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Single-file dynamics with general charge measures
1Department of Physics, <a href="https://ror.org/0190ak572">New York University</a>, 726 Broadway, New York, New York 10003, USA.
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.
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