Structure of Microgels with Debye–Hückel Interactions
نویسندگان
چکیده
The structural properties of model microgel particles are investigated by molecular dynamics simulations applying a coarse-grained model. A microgel is comprised of a regular network of polymers internally connected by tetra-functional cross-links and with dangling ends at its surface. The self-avoiding polymers are modeled as bead-spring linear chains. Electrostatic interactions are taken into account by the Debye–Hückel potential. The microgels exhibit a quite uniform density under bad solvent conditions with a rather sharp surface. With increasing Debye length, structural inhomogeneities appear, their surface becomes fuzzy and, at very large Debye lengths, well defined again. Similarly, the polymer conformations change from a self-avoiding walk to a rod-like behavior. Thereby, the average polymer radius of gyration follows a scaling curve in terms of polymer length and persistence length, with an asymptotic rod-like behavior for swollen microgels and self-avoiding walk behavior for weakly swollen gel particles.
منابع مشابه
A Molecular Debye-Hückel Theory and Its Applications to Electrolyte Solutions
In this report, a molecular Debye-Hückel theory for ionic fluids is developed. Starting from the macroscopic Maxwell equations for bulk systems, the dispersion relation leads to a generalized Debye-Hückel theory which is related to the dressed ion theory in the static case. Due to the multi-pole structure of dielectric function of ionic fluids, the electric potential around a single ion has a m...
متن کاملLong Time Behavior of Solutions to Nernst–Planck and Debye–Hückel Drift–Diffusion Systems
We study the convergence rates of solutions to drift-diffusion systems (arising from plasma, semiconductors and electrolytes theories) to their self-similar or steady states. This analysis involves entropytype Lyapunov functionals and logarithmic Sobolev inequalities.
متن کاملIsing Meets Ornstein and Zernike, Debye and Hückel, Widom and Rowlinson, and Others
The name Ising has come to stand not only for a specific model, but for an entire universality class arguably the most important such class in the theory of critical phenomena. I review several examples, both in and out of equilibrium, in which Ising universality appears or is pertinent. The “Ornstein-Zernike” connection concerns a thermodynamically self-consistent closure of the eponymous rela...
متن کاملModified Debye-hückel Electron Shielding and Penetration Factor
Screened potential, modified by non standard electron cloud distributions responsible for the shielding effect on fusion of reacting nuclei in astrophysical plasmas, is derived. The case of clouds with depleted tails in space coordinates is discussed. The modified screened potential is obtained both from statistical mechanics arguments based on fluctuations of the inverse of the Debye-Hückel ra...
متن کاملPolar Solvent Structure in the Debye-Hückel Theory of Strong Electrolytes
A general formula is derived for the potential energy of an ion in an ionic solution using all assumptions of the Debye-Hiickel theory except the assumption of constant permittivity. For the solvent the spatial correlation of polarization fluctuations is taken into account. The potential energy of an ion in it's ionic atmosphere is calculated for different models of the spatial correlation of p...
متن کامل