## Fluctuating charged membranes

2005
Fleck, Christian
Dissertation
##### Summary in another language
In this work we consider electrostatic effects at charged flexible surfaces.
In Chapter 2 we investigate the deformation of a charged fluid membrane due to the adsorption of an oppositely charged colloid. This problem is especially relevant for endocytosis of charged objects like DNA-lipid complexes into charged cells. We study the adsorption process numerically as well as analytically using a simplified scaling model.

In Chapter 3 we generalize the scaling model introduced in Chapter 2 to the case of a membrane composed of neutral and charged lipids. Furthermore, we investigate the experimentally relevant case of the adsorption of many colloids which are in thermodynamic equilibrium with a bulk solution.

In Chapter 4 we address the question of how the charge disorder induced by the dynamic membrane roughness influence the counterion density profile. We employ numerical Monte-Carlo techniques and analytical field-theoretic methods to obtain the density profiles. The effect of finite counterion size on the density distribution is also studied using Monte-Carlo simulations. Moreover, we investigate the coupling between counterion and membrane height fluctuations by calculating the correlation function between the counterion density and the membrane height field, both analytically and numerically. Finally, the effect of electrostatic interaction on the membrane roughness is considered.

Chapter 5 is dedicated to the study of lateral charge disorder at a flat surface. We apply a field-theoretic loop expansion to calculate the counterion density at a charged surface with thermally fluctuating charges. In addition, we investigate the system using Monte-Carlo methods, by means of which we consider annealed (mobile surface charges) and quenched (fixed surface charges) disorder. Furthermore, we calculate the effective interaction between charged particles in the vicinity of a charged surface with fluctuating mobile charges.

In the last Chapter we summarize the results of the thesis and conclude with an outlook considering future work.
530 Physics
##### Keywords
biophysics,membranes,charged surfaces,field theory,monte-carlo simulation
##### Cite This
ISO 690FLECK, Christian, 2005. Fluctuating charged membranes [Dissertation]. Konstanz: University of Konstanz
BibTex
@phdthesis{Fleck2005Fluct-4982,
year={2005},
title={Fluctuating charged membranes},
author={Fleck, Christian},
school={Universität Konstanz}
}

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