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Universal break law for a class of models of polymer rupture

Aurzada, Frank ; Betz, Volker ; Lifshits, Mikhail (2021):
Universal break law for a class of models of polymer rupture. (Publisher's Version)
In: Journal of Physics A: Mathematical and Theoretical, 54 (30), IOP Publishing, ISSN 0022-3689, e-ISSN 1751-8113,
DOI: 10.26083/tuprints-00019341,
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Item Type: Article
Origin: Secondary publication via sponsored Golden Open Access
Status: Publisher's Version
Title: Universal break law for a class of models of polymer rupture
Language: English
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).

Journal or Publication Title: Journal of Physics A: Mathematical and Theoretical
Journal volume: 54
Number: 30
Publisher: IOP Publishing
Collation: 28 Seiten
Classification DDC: 500 Naturwissenschaften und Mathematik > 510 Mathematik
Divisions: 04 Department of Mathematics > Stochastik
Date Deposited: 23 Aug 2021 12:11
Last Modified: 23 Aug 2021 12:11
DOI: 10.26083/tuprints-00019341
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-193417
Additional Information:

Keywords: interacting Brownian particles, rupture of a molecular chain, stochastic differential equations

URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19341
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