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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
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: |
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| 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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