Stochastic approach and fluctuation theorem for ion transport

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.

References in corpus (4)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Fluctuation theorems for stochastic dynamics
• Poisson Nernst-Planck Model of Ion Current Rectification through a Nanofluidic Diode
• Fluctuation theorem for the effusion of an ideal gas

Cited by in corpus (6)

• Microreversibility, fluctuations, and nonlinear transport in transistors
• Fluctuation Relations for Current Components in Mesoscopic Electric Circuits
• Stochastic approach and fluctuation theorem for charge transport in diodes
• Quantization and Fractional Quantization of Currents in Periodically Driven Stochastic Systems II: Full Counting Statistics
• Tensor-Network Approaches to Counting Statistics for the Current in a Boundary-Driven Diffusive System
• Derivation of quantum master equation with counting fields by monitoring a probe