Twice Scattered Particles in a Plane are Uniformly Distributed

García-Pelayo Novo, Ricardo Ángel (2008). Twice Scattered Particles in a Plane are Uniformly Distributed. "Journal of Statistical Physics", v. 133 (n. 2); pp. 401-404. ISSN 0022-4715. https://doi.org/10.1007/s10955-008-9612-1.

Description

Title: Twice Scattered Particles in a Plane are Uniformly Distributed
Author/s:
  • García-Pelayo Novo, Ricardo Ángel
Item Type: Article
Título de Revista/Publicación: Journal of Statistical Physics
Date: October 2008
ISSN: 0022-4715
Volume: 133
Subjects:
Freetext Keywords: Continuous time random walk, multiple scattering
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Física Aplicada a la Ingeniería Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (201kB) | Preview

Abstract

It was recently shown (Physica A 216:299–315, 1995) that in two dimensions the sum of three vectors each of whose lengths is exponentially distributed, whose direction is uniformly distributed and such that the sum of their lengths is l, is uniformly distributed on a disk of radius l. We state here this random walk result in terms of scattering of particles as follows: in two dimensions twice isotropically scattered particles by random (i.e., Poisson distributed) scatterers are uniformly distributed. We show that there is no other dimension d and no other number of scatterings s for which the corresponding result (i.e., uniform distribution on a d-dimensional sphere after s scatterings) holds.

More information

Item ID: 2950
DC Identifier: http://oa.upm.es/2950/
OAI Identifier: oai:oa.upm.es:2950
DOI: 10.1007/s10955-008-9612-1
Official URL: http://www.springer.com/physics/complexity/journal/10955
Deposited by: Memoria Investigacion
Deposited on: 03 May 2010 12:13
Last Modified: 30 Sep 2014 17:22
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM