Oscillations in Aggregation-Shattering Processes

Oscillations in Aggregation-Shattering Processes

We observe never-ending oscillations in systems undergoing collision-controlled aggregation and shattering. Specifically, we investigate aggregation-shattering processes with aggregation kernels K_{i,j}=(i/j)^{a}+(j/i)^{a} and shattering kernels F_{i,j}=λK_{i,j}, where i and j are cluster sizes, and...

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Veröffentlicht in:Physical review letters 2017-12, Vol.119 (26), p.260601-260601, Article 260601
Hauptverfasser: Matveev, S A, Krapivsky, P L, Smirnov, A P, Tyrtyshnikov, E E, Brilliantov, N V
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Sprache:eng
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Zusammenfassung:We observe never-ending oscillations in systems undergoing collision-controlled aggregation and shattering. Specifically, we investigate aggregation-shattering processes with aggregation kernels K_{i,j}=(i/j)^{a}+(j/i)^{a} and shattering kernels F_{i,j}=λK_{i,j}, where i and j are cluster sizes, and parameter λ quantifies the strength of shattering. When 0≤a
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.119.260601