TU Darmstadt / ULB / TUprints

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.
In: Journal of Physics A: Mathematical and Theoretical, 2021, 54 (30)
doi: 10.26083/tuprints-00019341
Article, Secondary publication, Publisher's Version

Copyright Information: CC BY 4.0 International - Creative Commons, Attribution.

Download (1MB) | Preview
Item Type: Article
Type of entry: Secondary publication
Title: Universal break law for a class of models of polymer rupture
Language: English
Date: 2021
Year of primary publication: 2021
Publisher: IOP Publishing
Journal or Publication Title: Journal of Physics A: Mathematical and Theoretical
Volume of the journal: 54
Issue Number: 30
Collation: 28 Seiten
DOI: 10.26083/tuprints-00019341
Corresponding Links:
Origin: Secondary publication via sponsored Golden Open Access

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).

Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-193417
Additional Information:

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

Classification DDC: 500 Science and mathematics > 510 Mathematics
Divisions: 04 Department of Mathematics > Stochastik
Date Deposited: 23 Aug 2021 12:11
Last Modified: 23 Aug 2021 12:11
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19341
Actions (login required)
View Item View Item