The Landau Distribution for Charged Particles Traversing Thin Films

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 dir...

Descripción completa

Detalles Bibliográficos
Autores principales: Marucho, Marcelo, García Canal, Carlos Alberto, Fanchiotti, Huner
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2006
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132510
Aporte de:
id I19-R120-10915-132510
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Landau distribution
energy-loss distribution
ionization energy-loss
analytic expressions
spellingShingle Física
Landau distribution
energy-loss distribution
ionization energy-loss
analytic expressions
Marucho, Marcelo
García Canal, Carlos Alberto
Fanchiotti, Huner
The Landau Distribution for Charged Particles Traversing Thin Films
topic_facet Física
Landau distribution
energy-loss distribution
ionization energy-loss
analytic expressions
description 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.
format Articulo
Preprint
author Marucho, Marcelo
García Canal, Carlos Alberto
Fanchiotti, Huner
author_facet Marucho, Marcelo
García Canal, Carlos Alberto
Fanchiotti, Huner
author_sort Marucho, Marcelo
title The Landau Distribution for Charged Particles Traversing Thin Films
title_short The Landau Distribution for Charged Particles Traversing Thin Films
title_full The Landau Distribution for Charged Particles Traversing Thin Films
title_fullStr The Landau Distribution for Charged Particles Traversing Thin Films
title_full_unstemmed The Landau Distribution for Charged Particles Traversing Thin Films
title_sort landau distribution for charged particles traversing thin films
publishDate 2006
url http://sedici.unlp.edu.ar/handle/10915/132510
work_keys_str_mv AT maruchomarcelo thelandaudistributionforchargedparticlestraversingthinfilms
AT garciacanalcarlosalberto thelandaudistributionforchargedparticlestraversingthinfilms
AT fanchiottihuner thelandaudistributionforchargedparticlestraversingthinfilms
AT maruchomarcelo landaudistributionforchargedparticlestraversingthinfilms
AT garciacanalcarlosalberto landaudistributionforchargedparticlestraversingthinfilms
AT fanchiottihuner landaudistributionforchargedparticlestraversingthinfilms
bdutipo_str Repositorios
_version_ 1764820454045908992