Exact Solution of the One-Dimensional Ballistic Aggregation
نویسندگان
چکیده
منابع مشابه
A ug 1 99 8 Exact solution of the one - dimensional ballistic aggregation
An exact expression for the mass distribution ρ(M, t) of the ballistic ag-gregation model in one dimension is derived in the long time regime. It is shown that it obeys scaling ρ(M, t) = t −4/3 F (M/t 2/3) with a scaling function F (z) ∼ z −1/2 for z ≪ 1 and F (z) ∼ exp(−z 3 /12) for z ≫ 1. Relevance of these results to Burgers turbulence is discussed. Ballistic aggregation provides a simple mo...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1999
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.82.1502