Exponential energy growth in adiabatically changing Hamiltonian systems
نویسندگان
چکیده
منابع مشابه
Exponential energy growth in adiabatically changing Hamiltonian systems.
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.
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2015
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.91.010901