I have connected, in passing, our "scaled particle" results with actively evolving theories such as the Percus-Yevick theory (16) and have men-Recently Y. Sinai, Dokl.Akad. Nauk SSSR 153, 1261 (1963), has announced a proof of the ergodic theorem for the hard-sphere system in a rectangular box. Thus this system has the distinction of being effectively the only nontrivial many-body system for which the application of statistical mechanics is justified by theory. For a summary of the equilibrium properties of this system see for example, H. L. Frisch, Advan. The hard-sphere model has a venerable history in kinetic theory as a result of the simplicity of the dynamics of these model molecules.Thus the binary collision cross section is independent of the relative velocity of the colliding spheres. Recently Y. Sinai, Dokl.Akad. Nauk SSSR 153, 1261 (1963), has announced a proof of the ergodic theorem for the hard-sphere system in a rectangular box. Thus this system has the distinction of being effectively the only nontrivial many-body system for which the application of statistical mechanics is justified by theory. For a summary of the equilibrium properties of this system see for example, H. L. Frisch, Advan.

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