Showing 1 - 10 of 11
Structural properties of mixtures of charged colloidal particles are studied by solving the Ornstein-Zernike equation together with the Rogers-Young closure relation. The partial radial distribution functions gij(r) are found to agree very well with results obtained from molecular dynamics...
Persistent link: https://www.econbiz.de/10010874259
To describe dynamical properties of a system of interacting Brownian particles stochastic transport equations are derived for the positions of the particles and their concentration fluctuations. This is achieved by an expansion of the Langevin equation for the momenta in terms of the reciprocal...
Persistent link: https://www.econbiz.de/10010584728
For systems of interacting Brownian particles a Fokker-Planck equation is derived for the probability distribution function of the concentration fluctuations, using assumption of a Gaussian static distribution function. The drift- and the diffusion term are determined by static correlation...
Persistent link: https://www.econbiz.de/10010584789
The model of a one-dimensional chain of harmonically coupled particles in local double-well potentials is investigated analytically in the displacive regime. A perturbation treatment of the interaction of a kink (wall separating ordered clusters) with extended states (optical phonons modified by...
Persistent link: https://www.econbiz.de/10010585355
By solving the Ornstein-Zernike equation together with the Rogers-Young closure relation for the correlation functions of binary liquid mixtures of hard spheres and Yukawa particles we calculate the concentration-concentration structure factor, Scc(k), for different values of the diameter ratio...
Persistent link: https://www.econbiz.de/10010587023
Extensive measurements of the static and dynamic field autocorrelation function of dilute bidisperse suspensions of charged polystyrene spheres, obtained by static and dynamic light scattering experiments, are discussed in terms of the two-component macroion fluid model. The suspensions under...
Persistent link: https://www.econbiz.de/10011057253
The microstructure and thermodynamic properties of quasi-2D colloidal suspensions of charge-stabilized spherical particles are studied by integral equation methods and by Monte Carlo simulations. Depending on the experimental realization of particle monolayers there are various pair interactions...
Persistent link: https://www.econbiz.de/10011059155
Structural properties of three- and two-dimensional colloids composed by hard spheres and/or by Yukawa particles, which can have different diameters and charges, are studied by solving the Ornstein-Zernike equation, together with Percus-Yevick, hypernetted chain and Rogers-Young approximations....
Persistent link: https://www.econbiz.de/10011059953
Starting from a N-particle diffusion equation for a system of N interacting spherical Brownian particles, a non-linear transport equation for concentration fluctuations δc(r, t) of the particles is derived. This dynamic equation is transformed into a hierarchy of equations for retarded...
Persistent link: https://www.econbiz.de/10011060160
The formalism, developed in two earlier papers, for the dynamics of interacting Brownian particles is applied to a system of charged spherical particles in solution. Memory-type transport equations are derived for the propagators of collective and self-diffusion. The memory function for...
Persistent link: https://www.econbiz.de/10011061970