The mean spherical model for a Lorentz-Berthelot mixture of sticky hard spheres
نویسندگان
چکیده
We have analyzed the Percus-Yevick ~PY! and the mean spherical model ~MSM! equation for an N-component system of sticky hard spheres. The PY approximation leads to a set of N(N11)/2 coupled quadratic equations for the unknown coefficients. While for this closure, the pair distribution functions have to be calculated numerically, we can proceed in the MSM one step further if we assume a Lorentz-Berthelot-type rule for the interactions: then the structure functions can be calculated analytically. We show that under these conditions in the limit N→` ~stochastic limit! the analyticity of the solution is preserved. General expressions both for the discrete and continuous ~polydisperse! case are presented. © 1998 American Institute of Physics. @S0021-9606~98!51122-1#
منابع مشابه
Thermodynamic properties of a polydisperse system.
We use the virial theorem to derive a closed analytic form of the Helmholtz free energy for a polydisperse system of sticky hard spheres (SHS) within the mean spherical model (MSM). To this end we calculate the free energy of the MSM for an N-component mixture of SHS via the virial route and apply to it-after imposing a Lorentz-Berthelot type rule on the interactions-the stochastic (i.e., polyd...
متن کاملYukawa sticky m-point model of associating fluid
The product-reactant Ornstein–Zernike approach, supplemented by the ideal network approximation, is formulated for the Yukawa sticky m-point ~YSmP! model of associating fluid. The model is represented by the multicomponent mixture of the Yukawa hard spheres with m sticky points randomly located on the surface of each hard sphere. Extensions of the regular integral equation closures, which inclu...
متن کاملThe stability limit of the fluid phase of polydisperse sticky spheres
It has been shown by Stell [J. Stat. Phys., 63, 1203 (1991)] that at low temperature monodisperse sticky spheres collapse to form coexisting close-packed solid and infinitely dilute gases. We show that polydisperse sticky spheres also collapse and calculate the collapse temperature. The polydisperse spheres separate into fractions with narrower polydispersities which can then solidify. This is ...
متن کاملAnalytical solution of the associative mean spherical approximation for the ion-dipole model
A simple electrolyte in a polar solvent is modelled by a mixture of polar hard spheres and equal diameter charged hard spheres with the possibility of ionic dimerization. The analytical solution of the associative mean spherical approximation (AMSA) for this model is derived to its full extent. Explicit expressions for pair correlation functions and dielectric constant in terms of the AMSA are ...
متن کاملThe Cummings-Stell model of associative fluids: a general solution
In a series of publications the Cummings-Stell model (CSM), for a binary mixture of associative fluids with steric effects, has been solved analytically using the Percus-Yevick approximation (PYA). The solution consists in a square well potential of width w, whose center is placed into the hard sphere shell (r < σ): at L = σ/n (n = 1, . . . , 4). This paper presents a general solution, for any ...
متن کامل