First passage times of charge transport and entropy change

TL;DR

This paper investigates how entropy change influences the first-passage time in charge transport, exemplified by electron transfer in a metallic double dot, highlighting the importance of entropy considerations in physical process timing.

Contribution

It introduces the role of entropy change in first-passage time analysis, providing new expressions and comparisons for electron transfer in a double dot system.

Findings

Entropy change affects the average first-passage time.

Expressions for first-passage time are modified to include entropy considerations.

External bias influences the first-passage time when entropy change is considered.

Abstract

All real physical processes, including of the first-passage time, occur with a change in entropy. This circumstance is not taken into account when studying the first-passage time, but is illustrated in this article using the example of electron transfer through a metallic double dot. The statistics of the first-passage time of a random process N(t) for electrons transferred through a metallic double dot is considered. The expressions for the average first-passage time are compared with and without taking into account the change in entropy during this time. External influences on the average value of the first-passage time are considered for the case of DC bias voltage.