title: Exponential energy growth in adiabatically changing Hamiltonian systems.
abstract: We show that the mixed phase space dynamics of a typical smooth Hamiltonian system universally leads to a sustained exponential growth of energy at a slow periodic variation of parameters. We build a model for this process in terms of geometric Brownian motion with a positive drift, and relate it to the steady entropy increase after each period of the parameters variation.
authors: Department of Mathematics, Imperial College London SW7 2AZ, United Kingdom and London Mathematical Laboratory, London WC2N 6DF, United Kingdom.
authors: Tiago
authors: T
authors: Pereira
authors: Department of Mathematics, Imperial College London SW7 2AZ, United Kingdom and Lobachevsky University of Nizhny Novgorod, 603950 Russia.
authors: Dmitry
authors: D
authors: Turaev