Simple model for transport phenomena : Microscopic construction of Maxwell Demon like engine

TL;DR

This paper introduces a microscopic Hamiltonian model for a Maxwell demon-like engine that extracts work from internal fluctuations by modulating a non-linear bath with external noise, demonstrating fluctuation-induced transport.

Contribution

It provides a novel Hamiltonian framework for understanding fluctuation-induced transport in non-equilibrium systems, highlighting the role of external noise in generating effective temperature differences.

Findings

Net motion occurs when the non-linear bath is modulated by external noise.

External noise creates a non-zero effective temperature even with equal bath temperatures.

The model identifies key ingredients for fluctuation-induced transport under non-equilibrium conditions.

Abstract

We present a microscopic Hamiltonian framework to develop Maxwell demon like engine. Our model consists of a equilibrium thermal bath and a non-equilibrium bath; latter generated by driving with an external stationary, Gaussian noise. The engine we develop, can be considered as a device to extract work by modifying internal fluctuations. Our theoretical analysis focusses on finding the essential ingredients necessary for generating fluctuation induced transport under non-equilibrium condition. An important outcome of our model is that the net motion occurs when the non-linear bath is modulated by the external noise, creating the non-zero effective temperature even when the temperature of both the baths are same.