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GarcíaPelayo Novo, Ricardo Ángel (2008). Twice Scattered Particles in a Plane are Uniformly Distributed. "Journal of Statistical Physics", v. 133 (n. 2); pp. 401404. ISSN 00224715.
Title:  Twice Scattered Particles in a Plane are Uniformly Distributed 

Author/s: 

Item Type:  Article 
Título de Revista/Publicación:  Journal of Statistical Physics 
Date:  October 2008 
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 

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Official URL: http://www.springer.com/physics/complexity/journal/10955
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 ddimensional sphere after s scatterings) holds.
Item ID:  2950 

DC Identifier:  http://oa.upm.es/2950/ 
OAI Identifier:  oai:oa.upm.es:2950 
Deposited by:  Memoria Investigacion 
Deposited on:  03 May 2010 12:13 
Last Modified:  30 Sep 2014 17:22 