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.
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