Volume 81, Number 3, February 2008
Article Number 30003
Number of page(s) 6
Section General
Published online 21 December 2007
EPL, 81 (2008) 30003
DOI: 10.1209/0295-5075/81/30003

Thermodynamics of adiabatic feedback control

A. E. Allahverdyan and D. B. Saakian

Yerevan Physics Institute - Alikhanian Brothers Street 2, Yerevan 375036, Armenia

received 13 August 2007; accepted in final form 26 November 2007; published February 2008
published online 21 December 2007

We study adaptive control of classical ergodic Hamiltonian systems, where the controlling parameter varies slowly in time and is influenced by the 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.

05.10.Ln - Monte Carlo methods.
02.30.Yy - Control theory.
45.20.Jj - Lagrangian and Hamiltonian mechanics.

© EPLA 2008