Fast fermi acceleration and entropy growth

T. Pereira, D. Turaev

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Fermi acceleration is the process of energy transfer from massive objects in slow motion to light objects that move fast. The model for such process is a time-dependent Hamiltonian system. As the parameters of the system change with time, the energy is no longer conserved, which makes the acceleration possible. One of the main problems is how to generate a sustained and robust energy growth. We show that the non-ergodicity of any chaotic Hamiltonian system must universally lead to the exponential growth of energy at a slow periodic variation of parameters. We build a model for this process in terms of a Geometric Brownian Motion with a positive drift and relate it to the entropy increase.

Original languageEnglish
Pages (from-to)31-47
Number of pages17
JournalMathematical Modelling of Natural Phenomena
Issue number3
StatePublished - 1 Jan 2015
Externally publishedYes


  • Entropy
  • Ergodicity
  • Hamiltonian system

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics


Dive into the research topics of 'Fast fermi acceleration and entropy growth'. Together they form a unique fingerprint.

Cite this