Monte-Carlo integration for virial coefficients re-visited: hard convex bodies, spheres with a square-well potential and mixtures of hard spheres

摘要: Techniques to adapt the hit-and-miss Monte-Carlo numerical integration are proposed with aim determine virial coefficients up eighth order in fluids of hard convex bodies, spheres an attractive square-well potential and a two-component mixture spheres. These algorithms make use look-up tables all blocks contributing coefficients. Each type block is represented by several entries. correspond possible topologically equivalent graphs that can be generated process. This rendered method statistically more efficient. In case system had have representations having two sorts vertices. The reported data are: improved values seventh for spheres, sixth, spheroids, spherocylinders cutspheres, fifth coefficient relative...