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...

Ausführliche Beschreibung

Bibliographische Detailangaben
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
1. Verfasser: Theodorakis (VerfasserIn)
Weitere Verfasser: Leontidis
Format: Aufsatz
Sprache:English
Veröffentlicht: 2000
Zugriff auf das übergeordnete Werk:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
Schlagworte:Journal Article
LEADER 01000caa a22002652 4500
001 NLM11051999X
003 DE-627
005 20250202101251.0
007 tu
008 231222s2000 xx ||||| 00| ||eng c
028 5 2 |a pubmed25n0369.xml 
035 |a (DE-627)NLM11051999X 
035 |a (NLM)11138057 
040 |a DE-627  |b ger  |c DE-627  |e rakwb 
041 |a eng 
100 1 |a Theodorakis  |e verfasserin  |4 aut 
245 1 0 |a Emergence of approximate translation invariance in finite intervals as a speed selection mechanism for propagating fronts 
264 1 |c 2000 
336 |a Text  |b txt  |2 rdacontent 
337 |a ohne Hilfsmittel zu benutzen  |b n  |2 rdamedia 
338 |a Band  |b nc  |2 rdacarrier 
500 |a Date Revised 20.11.2019 
500 |a published: Print 
500 |a Citation Status PubMed-not-MEDLINE 
520 |a 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 
650 4 |a Journal Article 
700 1 |a Leontidis  |e verfasserin  |4 aut 
773 0 8 |i Enthalten in  |t Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  |d 1993  |g 62(2000), 6 Pt A vom: 05. Dez., Seite 7802-6  |w (DE-627)NLM098226002  |x 1063-651X  |7 nnns 
773 1 8 |g volume:62  |g year:2000  |g number:6 Pt A  |g day:05  |g month:12  |g pages:7802-6 
912 |a GBV_USEFLAG_A 
912 |a SYSFLAG_A 
912 |a GBV_NLM 
912 |a GBV_ILN_350 
951 |a AR 
952 |d 62  |j 2000  |e 6 Pt A  |b 05  |c 12  |h 7802-6