THE LANDAU DISTRIBUTION FOR CHARGED PARTICLES TRAVERSING THIN FILMS

M. Marucho (), C. A. Garcia Canal () and Huner Fanchiotti ()
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M. Marucho: Department of Chemistry, Univeristy of Houston, Houston, Texas, 77204-5003, USA
C. A. Garcia Canal: Laboratorio de Física Teórica, Departamento de Física, Universidad Nacional de La Plata, C.C. 67 - 1900 La Plata, Argentina
Huner Fanchiotti: Laboratorio de Física Teórica, Departamento de Física, Universidad Nacional de La Plata, C.C. 67 - 1900 La Plata, Argentina

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 10, 1461-1476

Abstract: The Landau distribution as well as its first and second momenta are well suited for describing the energy loss of charged particles traversing a thin layer of matter. At present, just rational approximations and asymptotic expressions for these functions were obtained. In this paper we present a direct calculation of the integral representation of these functions obtaining perturbative and nonperturvative solutions expressed in terms of fast convergent series. We also provide a simple numerical algorithm which allows to control speed and precision of the results. The testing runs have provided, in reasonable computing times, correct results up to 13-14 significant digits on the density and distribution functions and 9-10 on the first and second momenta. If necessary, this accuracy could be improved by adding more coefficients to the algorithm.

Keywords: Landau distribution; energy-loss distribution; ionization energy-loss; analytic expressions (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0129183106009928

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