Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-11-20
Physics
Condensed Matter
Statistical Mechanics
32 pages, 7 figures, RevTex style, to appear in J. Chem. Phys. 1 December 2000
Scientific paper
10.1063/1.1321038
Closed analytical expressions for scattering intensity and other global structure factors are derived for a new solvable model of polydisperse sticky hard spheres. The starting point is the exact solution of the ``mean spherical approximation'' for hard core plus Yukawa potentials, in the limit of infinite amplitude and vanishing range of the attractive tail, with their product remaining constant. The choice of factorizable coupling (stickiness) parameters in the Yukawa term yields a simpler ``dyadic structure'' in the Fourier transform of the Baxter factor correlation function $q_{ij}(r)$, with a remarkable simplification in all structure functions with respect to previous works. The effect of size and stickiness polydispersity is analyzed and numerical results are presented for two particular versions of the model: i) when all polydisperse particles have a single, size-independent, stickiness parameter, and ii) when the stickiness parameters are proportional to the diameters. The existence of two different regimes for the average structure factor, respectively above and below a generalized Boyle temperature which depends on size polydispersity, is recognized and discussed. Because of its analycity and simplicity, the model may be useful in the interpretation of small-angle scattering experimental data for polydisperse colloidal fluids of neutral particles with surface adhesion.
Gazzillo Domenico
Giacometti Achille
No associations
LandOfFree
Structure factors for the simplest solvable model of polydisperse colloidal fluids with surface adhesion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Structure factors for the simplest solvable model of polydisperse colloidal fluids with surface adhesion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Structure factors for the simplest solvable model of polydisperse colloidal fluids with surface adhesion will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-573502