1994/02/07 by Mark Mineev-Weinstein, Mark B. Mineev-Weinstein, Ronnie Mainieri · 1 citation
Mathematics · Medicine · Physics and Astronomy · #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #nlin.PS #patt-sol
paper · pdf · doi:10.1103/physrevlett.72.880
150948 bytes uuencoded, compressed PostScript file
openalex publication_date 1994/02/07 · arxiv created 1994/12/06 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 (quasistatic 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.