A + B → 0 reaction with different initial patterns

Journal of Physical Chemistry

Volumn 100, Issue 49, 1996, Pages 19066-19074

  Sancho, J M ^a,b   Romero, A H ^a   Lindenberg, K ^a   Sagues F ^b   Reigada, R ^b   Lacasta, A M ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF BARCELONA   (Spain)

^c UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000084980     PISSN: 00223654     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp961661e     Document Type: Article

References (30)

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25. If we were working with individual particles in continuous space, then the meaning of randomly oriented pairs of particles separated by a given distance would be clear. A problem arises in the translation of this concept to a spatially discretized density formulation such as ours. A simple (but of course not unique) procedure that we implement here is to draw a circle of radius c = λΔx around a given cell and look at all the cells through which this circle passes. If the center of such a cell is within the circle, it is "accepted", and if it is outside the circle, it is "rejected". A is placed in the center cell, and the associated density B is placed with equal probability in one of the "accepted" cells. The "integration" in (26) must be understood as an appropriate sum. Other procedures are equally satisfactory; the details do not substantially affect the subsequent arguments.
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