## Critical adsorption of polyelectrolytes onto planar and convex highly charged surfaces

- We study the adsorption–desorption transition of polyelectrolyte chains onto planar, cylindrical and spherical surfaces with arbitrarily high surface charge densities by massive Monte Carlo computer simulations. We examine in detail how the well known scaling relations for the threshold transition—demarcating the adsorbed and desorbed domains of a polyelectrolyte near weakly charged surfaces—are altered for highly charged interfaces. In virtue of high surface potentials and large surface charge densities, the Debye–Hückel approximation is often not feasible and the nonlinear Poisson–Boltzmann approach should be implemented. At low salt conditions, for instance, the electrostatic potential from the nonlinear Poisson–Boltzmann equation is smaller than the Debye–Hückel result, such that the required critical surface charge density for polyelectrolyte adsorption σc increases. The nonlinear relation between the surface charge density and electrostatic potential leads to a sharply increasing critical surface charge density with growingWe study the adsorption–desorption transition of polyelectrolyte chains onto planar, cylindrical and spherical surfaces with arbitrarily high surface charge densities by massive Monte Carlo computer simulations. We examine in detail how the well known scaling relations for the threshold transition—demarcating the adsorbed and desorbed domains of a polyelectrolyte near weakly charged surfaces—are altered for highly charged interfaces. In virtue of high surface potentials and large surface charge densities, the Debye–Hückel approximation is often not feasible and the nonlinear Poisson–Boltzmann approach should be implemented. At low salt conditions, for instance, the electrostatic potential from the nonlinear Poisson–Boltzmann equation is smaller than the Debye–Hückel result, such that the required critical surface charge density for polyelectrolyte adsorption σc increases. The nonlinear relation between the surface charge density and electrostatic potential leads to a sharply increasing critical surface charge density with growing ionic strength, imposing an additional limit to the critical salt concentration above which no polyelectrolyte adsorption occurs at all. We contrast our simulations findings with the known scaling results for weak critical polyelectrolyte adsorption onto oppositely charged surfaces for the three standard geometries. Finally, we discuss some applications of our results for some physical–chemical and biophysical systems.…

Author: | Sidney J. de Carvalho, Ralf MetzlerORCiDGND, Andrey G. Cherstvy |
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URN: | urn:nbn:de:kobv:517-opus4-100295 |

Subtitle (English): | the nonlinear Poisson–Boltzmann approach |

Series (Serial Number): | Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (292) |

Document Type: | Postprint |

Language: | English |

Date of first Publication: | 2016/08/18 |

Year of Completion: | 2016 |

Publishing Institution: | Universität Potsdam |

Release Date: | 2016/12/01 |

Tag: | Debye screening; critical phenomena; electrostatic interactions; polyelectrolyte adsorption |

Pagenumber: | 17 |

Source: | New journal of physics 18 (2016). - DOI: 10.1088/1367-2630/18/8/083037 |

Funder: | Universität Potsdam, Publikationsfonds |

Grant Number: | PA 2016_33 |

Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |

Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |

Peer Review: | Referiert |

Publication Way: | Open Access |

Licence (English): | Creative Commons - Attribution 3.0 unported |

Notes extern: | Bibliographieeintrag der Originalveröffentlichung/Quelle |