Journal Article

FZJ-2014-03303

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The zig-zag walk with scattering and absorption on the real half line and in a lattice model

Wuttke, J. (Corresponding Author)FZJ*

2014
IOP Publ. Bristol

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Please use a persistent id in citations: doi:10.1088/1751-8113/47/21/215203

Abstract: The Darwin?Hamilton equations, describing one-dimensional transport with scattering and absorption, are expanded into a recursion. The solution involves ballot numbers. The recurrence probability as function of scattering order is given by Catalan numbers. To reproduce this analytical result in a lattice model, a novel relation between Narayana and Catalan numbers is derived.

Keyword(s): Others (1st) ; Others (1st) ; Fundamental Science (1st) ; Others (2nd)

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Contributing Institute(s):

1. Neutronenstreuung (Neutronenstreuung ; JCNS-1)
2. JCNS-FRM-II (JCNS (München) ; Jülich Centre for Neutron Science JCNS (München) ; JCNS-FRM-II)
3. Streumethoden (JCNS-2)

Research Program(s):

1. 451 - Soft Matter Composites (POF2-451) (POF2-451)
2. 54G - JCNS (POF2-54G24) (POF2-54G24)
3. 422 - Spin-based and quantum information (POF2-422) (POF2-422)
4. 424 - Exploratory materials and phenomena (POF2-424) (POF2-424)
5. 542 - Neutrons (POF2-542) (POF2-542)
6. 544 - In-house Research with PNI (POF2-544) (POF2-544)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2014

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Database coverage:
; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection ; Zoological Record

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