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| Content Provider | Springer Nature Link |
|---|---|
| Author | Kim, Won Kyu Netz, Roland R. |
| Copyright Year | 2015 |
| Abstract | Based on the thermally activated diffusion of counterions over the barrier of the electrostatic binding potential, we construct a scaling theory for the slow dielectric response in dilute and semi-dilute polyelectrolyte solutions. The theory is based on an analytic evaluation of the mean-escape time of a single counterion from the surface of a polyelectrolyte chain and uses a variational expression for the electrostatic potential of a charged cylinder including counterion condensation. This mean-escape time shows a range of characteristic power-law dependencies on the polyelectrolyte length and the polyelectrolyte monomer concentration. The existence of this novel dielectric mode at super-low frequencies reflects the wide spectrum of experimental findings for the super-low-frequency dielectric relaxation mode and thereby helps to reconcile conflicting interpretations of experimental data in terms of conventional scaling laws. We also devise a scaling theory for the counterion condensation of finite-length polyelectrolyte chains at finite concentration, which allows us to include polyelectrolyte charge renormalization in dilute as well as semi-dilute solutions in a unified theoretical framework. |
| Starting Page | 1 |
| Ending Page | 15 |
| Page Count | 15 |
| File Format | |
| ISSN | 12928941 |
| Journal | The European Physical Journal E |
| Volume Number | 38 |
| Issue Number | 11 |
| e-ISSN | 1292895X |
| Language | English |
| Publisher | Springer Berlin Heidelberg |
| Publisher Date | 2015-11-24 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Soft Matter: Polymers and Polyelectrolytes Soft and Granular Matter, Complex Fluids and Microfluidics Biophysics and Biological Physics Surfaces and Interfaces, Thin Films Nanotechnology Polymer Sciences Statistical Physics, Dynamical Systems and Complexity |
| Content Type | Text |
| Resource Type | Article |
| Subject | Chemistry Medicine Biophysics Materials Science Surfaces and Interfaces Biotechnology |
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