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Finite Element Modelling of a Cellular Electric Microenvironment
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Single-file dynamics with general charge measures.

Žiga Krajnik1

  • 1Department of Physics, <a href="https://ror.org/0190ak572">New York University</a>, 726 Broadway, New York, New York 10003, USA.

Physical Review. E
|September 19, 2024
PubMed
Summary
This summary is machine-generated.

We derived the exact charge fluctuation distribution in single-file systems. Anomalous fluctuations occur in equilibrium, while large fluctuations show dynamical phase transitions out of equilibrium.

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Area of Science:

  • Statistical mechanics
  • Non-equilibrium physics
  • Condensed matter theory

Background:

  • Single-file systems exhibit unique transport properties.
  • Understanding charge fluctuations is crucial for characterizing system dynamics.
  • Exact solutions for non-equilibrium systems are often challenging.

Purpose of the Study:

  • To derive the exact finite-time distribution of charge fluctuations in single-file dynamics.
  • To analyze typical and large-scale charge fluctuations using asymptotic methods.
  • To investigate phase transitions in charge fluctuations out of equilibrium.

Main Methods:

  • Utilizing a dressing transformation on particle fluctuation distributions.
  • Mapping the transformation to a substitution rule for full-counting statistics.
  • Analyzing the asymptotic behavior of the dressing transformation.

Main Results:

  • The exact finite-time charge fluctuation distribution was obtained.
  • Typical charge fluctuations in equilibrium with vanishing mean charge are anomalous.
  • Large charge fluctuations exhibit first and second-order dynamical phase transitions out of equilibrium.

Conclusions:

  • The dressing transformation provides a powerful tool for studying charge fluctuations.
  • Dynamical phase transitions are a key feature of large charge fluctuations in non-equilibrium single-file systems.
  • The findings offer insights into charge transport in confined systems.