Universal break law for a class of models of polymer rupture

Standard

Universal break law for a class of models of polymer rupture. / Aurzada, Frank; Betz, Volker; Lifshits, Mikhail.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 54, No. 30, 305204, 30.07.2021.

Research output: Contribution to journal › Article › peer-review

Author

Aurzada, Frank ; Betz, Volker ; Lifshits, Mikhail. / Universal break law for a class of models of polymer rupture. In: Journal of Physics A: Mathematical and Theoretical. 2021 ; Vol. 54, No. 30.

BibTeX

@article{92692ac689474de3912c70bbfe4a2135,

title = "Universal break law for a class of models of polymer rupture",

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).",

keywords = "Interacting Brownian particles, Rupture of a molecular chain, Stochastic differential equations, CHAIN, interacting Brownian particles, stochastic differential equations, rupture of a molecular chain",

author = "Frank Aurzada and Volker Betz and Mikhail Lifshits",

note = "Publisher Copyright: {\textcopyright} Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.",

year = "2021",

month = jul,

day = "30",

doi = "10.1088/1751-8121/ac0bcd",

language = "English",

volume = "54",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "30",

}

RIS

TY - JOUR

T1 - Universal break law for a class of models of polymer rupture

AU - Aurzada, Frank

AU - Betz, Volker

AU - Lifshits, Mikhail

N1 - Publisher Copyright: © Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

PY - 2021/7/30

Y1 - 2021/7/30

N2 - 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).

AB - 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).

KW - Interacting Brownian particles

KW - Rupture of a molecular chain

KW - Stochastic differential equations

KW - CHAIN

KW - interacting Brownian particles

KW - stochastic differential equations

KW - rupture of a molecular chain

UR - http://www.scopus.com/inward/record.url?scp=85110695924&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/ec34fafa-aad5-3c04-8460-a613ed2a35af/

U2 - 10.1088/1751-8121/ac0bcd

DO - 10.1088/1751-8121/ac0bcd

M3 - Article

AN - SCOPUS:85110695924

VL - 54

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 30

M1 - 305204

ER -

ID: 84618113