Emergence of approximate translation invariance in finite intervals as a speed selection mechanism for propagating fronts
We introduce a velocity selection criterion for fronts propagating into unstable and metastable states. We restrict these fronts to large finite intervals in the comoving frame of reference and require that their centers be insensitive to the locations of the ends of the finite intervals, thus exhib...
| Veröffentlicht in: | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. - 1993. - 62(2000), 6 Pt A vom: 05. Dez., Seite 7802-6 |
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| Format: | Aufsatz |
| Sprache: | English |
| Veröffentlicht: |
2000
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| Zugriff auf das übergeordnete Werk: | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics |
| Schlagworte: | Journal Article |
| Zusammenfassung: | We introduce a velocity selection criterion for fronts propagating into unstable and metastable states. We restrict these fronts to large finite intervals in the comoving frame of reference and require that their centers be insensitive to the locations of the ends of the finite intervals, thus exhibiting effectively an approximate translation invariance. Only one monotonic front has this behavior, and its velocity is the one that is physically selected. We present analytic results in the case of piecewise parabolic potentials and numerical results in other cases |
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| Beschreibung: | Date Revised 20.11.2019 published: Print Citation Status PubMed-not-MEDLINE |
| ISSN: | 1063-651X |