Stochastic approach and fluctuation theorem for ion transport

TL;DR

This paper introduces a stochastic mesoscopic model for ion transport that accounts for electric field fluctuations and demonstrates the validity of the fluctuation theorem for electric currents, including displacement currents.

Contribution

It develops a novel stochastic framework incorporating self-consistent electric fields and verifies the fluctuation theorem in this context.

Findings

Fluctuation theorem holds for electric current with displacement current.

Noise in ion transport is characterized considering electric field fluctuations.

Displacement current effects are incorporated into the stochastic model.

Abstract

We present a stochastic approach for ion transport at the mesoscopic level. The description takes into account the self-consistent electric field generated by the fixed and mobile charges as well as the discrete nature of these latter. As an application we study the noise in the ion transport process, including the effect of the displacement current generated by the fluctuating electric field. The fluctuation theorem is shown to hold for the electric current with and without the displacement current.