| Zugriffsnummer | 28518 |
| Dokumenttyp | Zeitschriftenartikel |
| Sprache | Englisch |
| Titel | Front propagation in one-dimensional spatially periodic bistable media |
| Autor(in); Institution |
Löber, Jakob; TU, Inst.f.Theoretische Physik, Berlin, GERMANY
Bär, Markus; 8.4, Mathematische Modellierung und Datenanalyse, PTB-Berlin
Engel, Harald; TU, Inst.f.Theoretische Physik, Berlin, GERMANY
|
| Quelle/Jahr | Physical Review E: 86 (2012), 6, 066210-1 - 066210-13 |
| ISSN | 1539-3755 ; 1550-2376 |
| DOI | |
| URL | |
| Verlag | Melville, NY: American Physical Society |
| Klassifikationscode | PACS: 05.45.-a ; PACS: 82.40.Ck ; PACS: 89.75.Kd ; PACS: 87.10.Ca |
| Freie Schlagworte | nonlinear waves ; homogenication |
| Zusammenfassung | Front propagation in heterogeneous bistable media is studied using the Schlögl model as a representative example. Spatially periodic modulations in the parameters of the bistable kinetics are taken into account perturbatively. Depending on the ratio L/l (L - spatial period of the heterogeneity, l - front width) appropriate singular perturbation techniques are applied to derive an ordinary differential equation for the position of the front in the presence of the heterogeneities. From this equation, the dependence of the average propagation speed on L/l as well as on the modulation amplitude is calculated. The obtained analytical results predict velocity overshoot, different cases of propagation failure, and the propagation speed for very large spatial period in quantitative agreement with the results of direct numerical simulations of the underlying reaction-diffusion equation. |
