| Zugriffsnummer | 23201 |
| Dokumenttyp | Zeitschriftenartikel |
| Sprache | Englisch |
| Titel | Effective medium theory for reaction rates and diffusion coefficients of heterogeneous systems |
| Autor(in); Institution |
Alonso, Sergio; 8.4, Mathematische Modellierung und Datenanalyse, PTB-Berlin
Kapral, Raymond; University of Toronto, Department of Chemistry, Toronto, CANADA
Bär, Markus; 8.4, Mathematische Modellierung und Datenanalyse, PTB-Berlin
|
| Quelle/Jahr | Physical Review Letters: 102 (2009), 23, 238302-1 - 238302-4 |
| ISSN | 0031-9007 (PRINT) ; 1079-7114 (ONLINE) |
| DOI | |
| Verlag | Ridge, NY: American Physical Society |
| Klassifikationscode | PACS: 82.40.Ck ; PACS: 87.10.-e ; PACS: 89.75.Kd |
| Freie Schlagworte | Heterogeneous reaction diffusion systems ; Effective medium theory |
| Zusammenfassung | A simple effective medium theory is derived for spatially heterogeneous nonlinear reaction-diffusion media. Its validity is tested through comparisons with simulations of front and pulse propagation in systems with spatially varying diffusion coefficients and reaction rates. The theory is able to predict wave speeds if the characteristic front width is much larger than the length scale of the heterogeneities. This condition is violated in media with isolated or weakly connected sites. However, the theory nevertheless provides good results in cases where it correctly predicts the percolation threshold of the medium. |
