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Kang-Redner small-mass anomaly in cluster-cluster aggregation

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UNSPECIFIED (2002) Kang-Redner small-mass anomaly in cluster-cluster aggregation. PHYSICAL REVIEW E, 66 (6 Part 2). -. doi:10.1103/PhysRevE.66.066118 ISSN 1063-651X.

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Official URL: http://dx.doi.org/10.1103/PhysRevE.66.066118

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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
Dates:
DateEvent
December 2002UNSPECIFIED
Volume: 66
Number: 6 Part 2
Number of Pages: 11
Page Range: -
DOI: 10.1103/PhysRevE.66.066118
Publication Status: Published

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