Asymptotic expression of the virial coefficients for hard sphere systems
نویسندگان
چکیده
منابع مشابه
Dimensional interpolation of hard sphere virial coefficients
We examine the dependence on spatial dimension D of the Mayer cluster integrals that determine the virial coefficients B, for a fluid of rigid hyperspheres. The integrals vary smoothly with D, and can be characterized analytically in both the low-D and high-D limits. Dimensional interpolation (DI) allows one to evaluate individual Mayer cluster integrals at D = 2 and D = 3 to within about 1%. T...
متن کاملExact analytic expression for a subset of fourth virial coefficients of polydisperse hard sphere mixtures
We derive an exact, analytic expression for the fourth virial coefficient of a system of polydisperse spheres under the constraint that the smallest sphere has a radius smaller than a given function of the radii of the three remaining particles.
متن کاملEquation of state for hard-sphere fluids offering accurate virial coefficients.
The asymptotic expansion method is extended by using currently available accurate values for the first ten virial coefficients for hard sphere fluids. It is then used to yield an equation of state for hard sphere fluids, which accurately represents the currently accepted values for the first sixteen virial coefficients and compressibility factor data in both the stable and the metastable region...
متن کاملExact analytic expression for a subset of fourth virial coe cients of polydisperse hard sphere mixtures
It is surprisingly di cult to calculate analytic expressions for virial coe cients. Even the exact calculation of the second virial coe cient is in general extremely di cult. If particles have no other interaction than hard core repulsion, things are slightly easier. In the isotropic phase, the second virial coe cient B 2 of two arbitrary, convex particles A and B can be determined by [1]
متن کاملFifth to eleventh virial coefficients of hard spheres.
Virial coefficients B(n) of three-dimensional hard spheres are reported for n=5 to 11, with precision exceeding that presently available in the literature. Calculations are performed using the recursive method due to Wheatley, and a binning approach is proposed to allow more flexibility in where computational effort is directed in the calculations. We highlight the difficulty as a general measu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fluid Phase Equilibria
سال: 2015
ISSN: 0378-3812
DOI: 10.1016/j.fluid.2015.04.002