2021-01-28T07:36:32Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:2950
2014-09-30T17:22:29Z
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Twice Scattered Particles in a Plane are Uniformly Distributed
García-Pelayo Novo, Ricardo Ángel
Mathematics
Physics
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.
E.T.S.I. Aeronáuticos (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2008-10
info:eu-repo/semantics/article
Article
Journal of Statistical Physics, ISSN 0022-4715, 2008-10, Vol. 133, No. 2
PeerReviewed
application/pdf
eng
http://www.springer.com/physics/complexity/journal/10955
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10955-008-9612-1
http://oa.upm.es/2950/