Noninvariance of Space and Time Scale Ranges under a Lorentz Transformation and the Implications for the Numerical Study of Relativistic Systems

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We present an analysis which shows that the ranges of space and time scales spanned by a system are not invariant under the Lorentz transformation. This implies the existence of a frame of reference which minimizes an aggregate measure of the range of space and time scales. Such a frame is derived for example cases: free electron laser, laser-plasma accelerator, and particle beam interacting with electron clouds. Implications for experimental, theoretical and numerical studies are discussed. The most immediate relevance is the reduction by orders of magnitude in computer simulation run times for such systems.

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Vay, J.-L. & Vay, J.-L. November 12, 2007.

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We present an analysis which shows that the ranges of space and time scales spanned by a system are not invariant under the Lorentz transformation. This implies the existence of a frame of reference which minimizes an aggregate measure of the range of space and time scales. Such a frame is derived for example cases: free electron laser, laser-plasma accelerator, and particle beam interacting with electron clouds. Implications for experimental, theoretical and numerical studies are discussed. The most immediate relevance is the reduction by orders of magnitude in computer simulation run times for such systems.

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  • 20th International Conference on Numerical Simulations of Plasmas, Austin, TX, October 8-9, 2007

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  • Report No.: LBNL-756E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 935700
  • Archival Resource Key: ark:/67531/metadc894481

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  • November 12, 2007

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  • Sept. 27, 2016, 1:39 a.m.

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  • Oct. 31, 2016, 11:48 a.m.

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Vay, J.-L. & Vay, J.-L. Noninvariance of Space and Time Scale Ranges under a Lorentz Transformation and the Implications for the Numerical Study of Relativistic Systems, article, November 12, 2007; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc894481/: accessed November 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.