Thermodynamics of adiabatic feedback control

TL;DR

This paper investigates the thermodynamics of adiabatic feedback control in classical ergodic Hamiltonian systems, revealing limits on negative entropy production and linking it to control Hamiltonian fluctuations.

Contribution

It introduces an effective adiabatic framework for slow variables and uncovers a fundamental limit on feedback-induced negative entropy production.

Findings

Limits on negative entropy production due to feedback control

Relation between negentropy production and control Hamiltonian fluctuations

Efficient handling of entropy-information trade-off in feedback systems

Abstract

We study adaptive control of classical ergodic Hamiltonian systems, where the controlling parameter varies slowly in time and is influenced by system's state (feedback). An effective adiabatic description is obtained for slow variables of the system. A general limit on the feedback induced negative entropy production is uncovered. It relates the quickest negentropy production to fluctuations of the control Hamiltonian. The method deals efficiently with the entropy-information trade off.