Deterministic proton transport solving a one dimensional Fokker-Planck equation

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The transport of protons through matter is characterized by many interactions which cause small deflections and slight energy losses. The few which are catastrophic or cause large angle scattering can be viewed as extinction for many applications. The transport of protons at this level of approximation can be described by a Fokker Planck Equation. This equation is solved using a deterministic multigroup differencing scheme with a highly resolved set of discrete ordinates centered around the beam direction which is adequate to properly account for deflections and energy losses due to multiple Coulomb scattering. Comparisons with LAHET for a large variety ... continued below

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15 p.

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Marr, D.; Prael, R.; Adams, K. & Alcouffe, R. October 1, 1997.

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The transport of protons through matter is characterized by many interactions which cause small deflections and slight energy losses. The few which are catastrophic or cause large angle scattering can be viewed as extinction for many applications. The transport of protons at this level of approximation can be described by a Fokker Planck Equation. This equation is solved using a deterministic multigroup differencing scheme with a highly resolved set of discrete ordinates centered around the beam direction which is adequate to properly account for deflections and energy losses due to multiple Coulomb scattering. Comparisons with LAHET for a large variety of problems ranging from 800 MeV protons on a copper step wedge to 10 GeV protons on a sandwich of material are presented. The good agreement with the Monte Carlo code shows that the solution method is robust and useful for approximate solutions of selected proton transport problems.

Physical Description

15 p.

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INIS; OSTI as DE98000822

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  • 1997 American Nuclear Society (ANS) winter meeting, Albuquerque, NM (United States), 16-20 Nov 1997

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  • Other: DE98000822
  • Report No.: LA-UR--97-2687
  • Report No.: CONF-971125--
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 642763
  • Archival Resource Key: ark:/67531/metadc690910

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  • October 1, 1997

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  • Aug. 14, 2015, 8:43 a.m.

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  • Feb. 25, 2016, 3:50 p.m.

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Marr, D.; Prael, R.; Adams, K. & Alcouffe, R. Deterministic proton transport solving a one dimensional Fokker-Planck equation, article, October 1, 1997; New Mexico. (digital.library.unt.edu/ark:/67531/metadc690910/: accessed October 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.