Thermodynamics of adiabatic feedback controlA. 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.
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