UNSPECIFIED. (2002) Kang-Redner small-mass anomaly in cluster-cluster aggregation. PHYSICAL REVIEW E, 66 (6 Part 2). -. ISSN 1063-651X

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Abstract

The large-time small-mass asymptotic behavior of the average mass distribution (P) over bar (m,t) is studied in a d-dimensional system of diffusing aggregating particles for 1less than or equal todless than or equal to2. By means of both a renormalization group computation as well as a direct resummation of leading terms in the small-reaction-rate expansion of the average mass distribution, it is shown that (P) over bar (m,t)similar to(1/t(d))(m(1/d)/roott)(e)(KR) for m<<t(d/2), where e(KR)=epsilon+O(epsilon(2)) and epsilon=2-d. In two dimensions, it is shown that (P) over bar (m,t)similar toln(m)ln(t)/t(2) for m<<t/ln(t). Numerical simulations in two dimensions supporting the analytical results are also presented.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Journal or Publication Title:	PHYSICAL REVIEW E
Publisher:	AMERICAN PHYSICAL SOC
ISSN:	1063-651X
Official Date:	December 2002
Volume:	66
Number:	6 Part 2
Number of Pages:	11
Page Range:	-
Identification Number:	10.1103/PhysRevE.66.066118
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/10122

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