Aurzada, Frank ; Betz, Volker ; Lifshits, Mikhail (2021)
Universal break law for a class of models of polymer rupture.
In: Journal of Physics A: Mathematical and Theoretical, 54 (30)
doi: 10.1088/1751-8121/ac0bcd
Artikel, Bibliographie
Dies ist die neueste Version dieses Eintrags.
Kurzbeschreibung (Abstract)
We model a polymer by a finite chain of Brownian particles, interacting through a pairwise potential U. We investigate what happens when one end of the chain is fixed and the other end slowly pulled away, and when we assume that the chain breaks as soon as the distance between two neighbouring particles exceeds a certain threshold b. We find that under natural conditions on U and suitable scaling of noise and pulling speed, the laws of the break time and of the place along the chain where the break occurs converge to explicit limits. These limits are universal in the sense that they only depend on U”(b).
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2021 |
| Autor(en): | Aurzada, Frank ; Betz, Volker ; Lifshits, Mikhail |
| Art des Eintrags: | Bibliographie |
| Titel: | Universal break law for a class of models of polymer rupture |
| Sprache: | Englisch |
| Publikationsjahr: | 2021 |
| Verlag: | IOP Publishing |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Journal of Physics A: Mathematical and Theoretical |
| Jahrgang/Volume einer Zeitschrift: | 54 |
| (Heft-)Nummer: | 30 |
| Kollation: | 28 Seiten |
| DOI: | 10.1088/1751-8121/ac0bcd |
| Zugehörige Links: | |
| Kurzbeschreibung (Abstract): | We model a polymer by a finite chain of Brownian particles, interacting through a pairwise potential U. We investigate what happens when one end of the chain is fixed and the other end slowly pulled away, and when we assume that the chain breaks as soon as the distance between two neighbouring particles exceeds a certain threshold b. We find that under natural conditions on U and suitable scaling of noise and pulling speed, the laws of the break time and of the place along the chain where the break occurs converge to explicit limits. These limits are universal in the sense that they only depend on U”(b). |
| Zusätzliche Informationen: | Keywords: interacting Brownian particles, rupture of a molecular chain, stochastic differential equations |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
| Fachbereich(e)/-gebiet(e): | 04 Fachbereich Mathematik 04 Fachbereich Mathematik > Stochastik |
| Hinterlegungsdatum: | 02 Aug 2024 12:36 |
| Letzte Änderung: | 02 Aug 2024 12:36 |
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Universal break law for a class of models of polymer rupture. (deposited 23 Aug 2021 12:11)
- Universal break law for a class of models of polymer rupture. (deposited 02 Aug 2024 12:36) [Gegenwärtig angezeigt]
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