Exponential energy growth in adiabatically changing Hamiltonian systems

Tiago Pereira; Dmitry Turaev

doi:10.1103/PhysRevE.91.010901

Exponential energy growth in adiabatically changing Hamiltonian systems

Tiago Pereira, Dmitry Turaev

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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.

Original language	English
Article number	010901
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	91
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.91.010901
State	Published - 9 Jan 2015
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
Statistical and Nonlinear Physics
Statistics and Probability

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10.1103/PhysRevE.91.010901

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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.",

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AB - 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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DO - 10.1103/PhysRevE.91.010901

M3 - Article

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JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

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Exponential energy growth in adiabatically changing Hamiltonian systems

Abstract

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