Bonnier B. Static A+B-->0 annihilation process in arbitrary dimension.
PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 2000;
61:1270-4. [PMID:
11046404 DOI:
10.1103/physreve.61.1270]
[Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/07/1999] [Indexed: 11/07/2022]
Abstract
The pair annihilation A+B-->0 of static particles distributed at random in a d-dimensional space is studied in the large time regime for a tunneling law. The consequences of a superposition approximation used to close the hierarchy of equations describing the process are analytically explored. It is shown that the density and pair correlations of surviving particles have scaling expressions which display the ordering and clustering effects.
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