3 Analytic calculation of B 4 for hard spheres in even dimensions

نویسنده

  • B. M. McCoy
چکیده

We exactly calculate the fourth virial coefficient for hard spheres in even dimensions for D = 4, 6, 8, 10, and 12.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A New Mixing Rule for Mixtures of Hard Spheres

A mixing rule for the mixtures of hard-spheres is presented which can be reduced to the standard van der Waals mixing rule at low densities. The effectiveness of the mixing rule for the size and energy parameters of lennard-Jones fluid are examined by combining them with an equation of state to calculate thermodynamic properties. The results of calculation are compared with the molecular dy...

متن کامل

Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions

We evaluate the virial coefficients Bk for k ≤ 10 for hard spheres in dimensions D = 2, · · · , 8. Virial coefficients with k even are found to be negative when D ≥ 5. This provides strong evidence that the leading singularity for the virial series lies away from the positive real axis when D ≥ 5. Further analysis provides evidence that negative virial coefficients will be seen for some k > 10 ...

متن کامل

Extension Theorems for Spheres in the Finite Field Setting

In this paper we study the boundedness of extension operators associated with spheres in vector spaces over finite fields. In even dimensions, we estimate the number of incidences between spheres and points in the translated set from a subset of spheres. As a result, we improve the Tomas-Stein exponents, previous results by the authors in [6]. The analytic approach and the explicit formula for ...

متن کامل

Exact 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 کامل

New results for virial coefficients of hard spheres in D dimensions

We present new results for the virial coefficients Bk with k ≤ 10 for hard spheres in dimensions D = 2, · · · , 8.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008