Observation of conservations laws in diffusion limited aggregation
| Autor: | Mark Mineev-Weinstein, Ronnie Mainieri |
|---|---|
| Rok vydání: | 1994 |
| Předmět: |
Physics
Infinite set Discretization Mathematics::Analysis of PDEs Stefan problem FOS: Physical sciences General Physics and Astronomy Boundary (topology) Harmonic (mathematics) Pattern Formation and Solitons (nlin.PS) Nonlinear Sciences - Pattern Formation and Solitons Conserved quantity Classical mechanics Diffusion-limited aggregation Limit (mathematics) |
| Zdroj: | Physical Review Letters. 72:880-883 |
| ISSN: | 0031-9007 |
| DOI: | 10.1103/physrevlett.72.880 |
| Popis: | We repeat the numerical experiments for diffusion limited aggregation (DLA) and show that there is a potentially infinite set of conserved quantities for the long time asymptotics. We connect these observations with the exact integrability of the continuum limit of the DLA (quasi-static Stefan problem). The conserved quantities of the Stefan problem (harmonic moments) when discretized are our conserved quantities. These numerical experiments show that the exact integrability of the Stefan problem may be continued beyond the formation of cusps in the moving boundary. 150948 bytes uuencoded, compressed PostScript file |
| Databáze: | OpenAIRE |
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