Adiabatic feedback control of Hamiltonian systems

Details Adiabatic feedback control of Hamiltonian systems Adiabatic feedback control of Hamiltonian systems

2006-07-09

arxiv.org/abs/cond-mat/0607222v1

Physics

Condensed Matter

Other Condensed Matter

4 pages, 1 figure

Scientific paper

We study feedback control of classical Hamiltonian systems with the controlling parameter varying slowly in time. The control aims to change system's energy. We show that the control problems can be solved with help of an adiabatic invariant that generalizes the conservation of the phase-space volume to control situations. New mechanisms of control for achieving heating, cooling, entropy reduction and particle trapping are found. The feedback control of a many-body system via one of its coordinates is discussed. The results are illustrated by two basic models of non-linear physics.

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