# Fluctuation Theorems Containing Information for Autonomous Maxwell's Demon-assisted Machines

## TL;DR

This paper develops new fluctuation theorems that incorporate information for autonomous Maxwell's demon-assisted machines, deriving a Landauer's principle-based second law and analyzing a novel information device.

## Contribution

It introduces two types of fluctuation theorems with information for autonomous Maxwell's demon systems, extending the theoretical framework of thermodynamics with information.

## Key findings

- Derived fluctuation theorems containing information.
- Formulated Landauer's principle for the entire process.
- Analyzed a new information device using the developed theorems.

## Abstract

In this article, we introduce two kinds of Fluctuation Theorems (FT) containing information for autonomous Maxwell's demon-assisted machines. Using Jensen's Inequality, we obtain Landauer's principle formulation of the second law for the whole process of the machine. Finally we make use of our results to analyze a new information device. \pacs{05.70.Ln, 05.40.-a, 89.70.Cf}