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Overlap Concentration in Salt-Free Polyelectrolyte Solutions

Journal Article · · Macromolecules

For strongly charged polyelectrolytes in salt-free solutions, we use molecular dynamics simulations of a coarse-grained bead-spring model to calculate overlap concentrations c* and chain structure for polymers containing N = 10 to 1600 monomers. Over much of this range, we find that the end-to-end distance R* at c* increases faster than linearly with increasing N, as chains at the overlap concentration approach strongly extended conformations. This trend results in the overlap concentration c* decreasing as a stronger function of N than the classical prediction c* ~ N–2. Finally, this stronger dependence can be fit either by a logarithmic correction to scaling or by an apparent scaling c* ~ N–m, with m > 2.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); National Institutes of Health (NIH)
Grant/Contract Number:
NA0003525
OSTI ID:
1834133
Report Number(s):
SAND--2021-12780J; 700894
Journal Information:
Macromolecules, Journal Name: Macromolecules Journal Issue: 21 Vol. 54; ISSN 0024-9297
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (14)

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Criticality and Connectivity in Macromolecular Charge Complexation journal November 2016
50th Anniversary Perspective : A Perspective on Polyelectrolyte Solutions journal December 2017
Scaling Theory of Polyelectrolyte Solutions journal November 1995
Molecular Dynamics Simulations of Polyelectrolyte Solutions:  Nonuniform Stretching of Chains and Scaling Behavior journal May 2003
Simulations of Stretching a Strong, Flexible Polyelectrolyte journal July 2012
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Phase diagram of polyelectrolyte solutions journal January 1988
Reversible multiple time scale molecular dynamics journal August 1992
The nature of flexible linear polyelectrolytes in salt free solution: A molecular dynamics study journal July 1995
Electrostatic correlations and the polyelectrolyte self energy journal February 2017

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