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The Fermi-Ulam accelerator model under scaling analysis.

Research output: Contribution to journalJournal article

Published

Journal publication date30/06/2004
JournalPhysical Review Letters
Journal number1
Volume93
Pages014101
Original languageEnglish

Abstract

The chaotic low energy region of the Fermi-Ulam simplified accelerator model is characterized by the use of scaling analysis. It is shown that the average velocity and the roughness (variance of the average velocity) obey scaling functions with the same characteristic exponents. The formalism is widely applicable, including to billiards and to other chaotic systems.

Bibliographic note

The chaotic region of the Fermi-Ulam model is shown to be characterized by scaling relations. Resultant formalism subsequently applied by others in various contexts, including billiards and chaotic systems. RAE_import_type : Journal article RAE_uoa_type : Physics