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: 10.1088/17518121/ac0bcd
Article, Bibliographie
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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).
Item Type:  Article 

Erschienen:  2021 
Creators:  Aurzada, Frank ; Betz, Volker ; Lifshits, Mikhail 
Type of entry:  Bibliographie 
Title:  Universal break law for a class of models of polymer rupture 
Language:  English 
Date:  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:  10.1088/17518121/ac0bcd 
Corresponding Links:  
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). 
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 04 Department of Mathematics > Stochastik 
Date Deposited:  02 Aug 2024 12:36 
Last Modified:  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) [Currently Displayed]
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