McClintock, Peter V. E. and da Silva, J. K. L. and Leonel, E. D. (2004) The Fermi-Ulam accelerator model under scaling analysis. Physical review letters, 93 (1). 014101.
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.
Item Type:
      
        Journal Article
        
        
        
      
    Journal or Publication Title:
          Physical review letters
        Additional Information:
          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
        Uncontrolled Keywords:
          /dk/atira/pure/subjectarea/asjc/3100/3100
        Subjects:
          ?? general physics and astronomyphysics and astronomy(all)qc physics ??
        Departments:
          
        ID Code:
          2272
        Deposited By:
          
        Deposited On:
          04 Apr 2008 09:04
        Refereed?:
          Yes
        Published?:
          Published
        Last Modified:
          19 Sep 2025 01:58
        
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