Prediction and Refinement of High-Order Virial Coefficients for a Hard-Sphere System

摘要

The nth virial coefficient for a hard-sphere system is expressed as the sum of n2 and a remainder.When n≥3,the remainders of the viriais can be accurately expressed with Pade-type functions of n.The maximum deviations are only 0.039-0.053%,which are much better than the existing approaches.By using the predicted viriais,the compressibility factors of the hard-sphere system can be predicted very accurately in the whole stable fluid region,and those in the metastable fluid region can also be well predicted up to a packing fraction of 0.545.The simulated B7 and B10 are found to be inconsistent with the other known viriais,and thus they are refined to be 53.2467 and 105.042,respectively.