Theoretical Approach to the Correlations of a Hard-Sphere Crystal

Details Theoretical Approach to the Correlations of a Hard-Sphere Crystal Theoretical Approach to the Correlations of a Hard-Sphere Crystal

1996-05-31

arxiv.org/abs/cond-mat/9605194v1

Physics

Condensed Matter

4 pages, latex, 3 figures available upon request: (rascon@fluid1.fmc.uam.es) To be appeared in Phys.Rev.E

Scientific paper

10.1103/PhysRevE.54.1261

We present the first theoretical approach to the angular-average of the two-body correlation function $\tilde g(r)$ for simple solids. It is based on three sum rules for $\tilde g(r)$: the compressibility and virial equations and the normalization. We apply the theory to determine this correlation function for the case of the FCC solid phase of hard spheres. The agreement with simulation data is excellent over all the density range. The application to other simple systems is discussed. The approach opens a new route to perturbation theories for simple solids.

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