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Intersecting disks (and spheres) and statistical mechanics. I. Mathematical basis

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Abstract

The calculations of a previous paper on intersecting disks are completed. Further quantities of interest in connection with intersecting disks and spheres are defined. The above considerations are extended to spherical boundary conditions. Then two applications are stated: The penetrable-sphere model of Widom and Rowlinson, and the hard-sphere system. Finally, the generalization toD-dimensional spheres is outlined.

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Kratky, K.W. Intersecting disks (and spheres) and statistical mechanics. I. Mathematical basis. J Stat Phys 25, 619–634 (1981). https://doi.org/10.1007/BF01022357

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