A new numerical method for linear rheology of living polymers

Living polymers such as wormlike micelles have attracted considerable experimental and theoretical interest over the past three decades, but the differential-integral equations that describe the joint processes of reversible scission and stress relaxation were only recently developed and have not yet been solved. Here, we introduce a numerical method that is simple, stable, accurate, flexible, and fast compared to alternatives. After validating the method and its predictions, we provide a preliminary discussion on previously unquantified sources of uncertainty in a popular stochastic approach to modeling the same problem.

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Publication Details

Journal
Journal of Rheology
Published
2024-08-09
DOI
https://doi.org/10.1122/8.0000875
Primary Topic
Surfactants and Colloidal Systems
Type
article
Field-Weighted Citation Impact
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article

A new numerical method for linear rheology of living polymers

Claire Love, Joseph D. Peterson
Journal of Rheology
Surfactants and Colloidal Systems
article

A new numerical method for linear rheology of living polymers

Claire Love, Joseph D. Peterson
article en

Abstract

Living polymers such as wormlike micelles have attracted considerable experimental and theoretical interest over the past three decades, but the differential-integral equations that describe the joint processes of reversible scission and stress relaxation were only recently developed and have not yet been solved. Here, we introduce a numerical method that is simple, stable, accurate, flexible, and fast compared to alternatives. After validating the method and its predictions, we provide a preliminary discussion on previously unquantified sources of uncertainty in a popular stochastic approach to modeling the same problem.

Journal of RheologyVol. 68(5)
University of California, Los Angeles (US)
Openalex Percentile: Top 91%
Surfactants and Colloidal Systems
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