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Short- and intermediate-time behavior of the linear stress relaxation in semiflexible polymers

Dimitrakopoulos, P. and Brady, J. F. and Wang, Z.-G. (2001) Short- and intermediate-time behavior of the linear stress relaxation in semiflexible polymers. Physical Review E, 64 (5). Art. No. 050803. ISSN 1063-651X. https://resolver.caltech.edu/CaltechAUTHORS:DIMpre01

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Abstract

The linear viscoelasticity of semiflexible polymers is studied through Brownian Dynamics simulations covering a broad range of chain stiffness and time scales. Our results agree with existing theoretical predictions in the flexible and stiff limits; however, we find that over a wide intermediate-time window spanning several decades, the stress relaxation is described by a single power law t^(-alpha), with the exponent alpha apparently varying continuously from 1/2 for flexible chains, to 5/4 for stiff ones. Our study identifies the limits of validity of the t^(-3/4) power law at short times predicted by recent theories. An additional regime is identified, the "ultrastiff" chains, where this behavior disappears. In the absence of Brownian motion, the purely mechanical stress relaxation produces a t^(-3/4) power law for both short and intermediate times.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevE.64.050803["eprint_fieldopt_related_url_type_DOI" not defined]UNSPECIFIED
ORCID:
AuthorORCID
Wang, Z.-G.0000-0002-3361-6114
Additional Information:©2001 The American Physical Society. Received 19 April 2001; published 26 October 2001. This work was supported by the Grant No. DMR-9970589 from the National Science Foundation. The computations were performed on multiprocessor computers provided by the National Center for Supercomputing Applications at Urbana, and the Center for Advanced Computing Research at Caltech. The authors wish to thank David Morse for providing access to his recent work [5] and for helpful discussions.
Funders:
Funding AgencyGrant Number
NSFDMR-9970589
Subject Keywords:VISCOELASTICITY; MICRORHEOLOGY; FLUCTUATIONS
Issue or Number:5
Record Number:CaltechAUTHORS:DIMpre01
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:DIMpre01
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2256
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:20 Mar 2006
Last Modified:02 Oct 2019 22:51

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