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.
Similar content being viewed by others
References
K. W. Kratky,J. Phys. A 11:1017 (1978).
M. J. D. Powell,Mol. Phys. 7:591 (1964).
K. W. Kratky,Physica 85A:607 (1976).
J. S. Rowlinson,Mol. Phys. 6:517 (1963).
J. S. Rowlinson,Mol. Phys. 7:593 (1964).
K. Schütte and B. L. van der Waerden,Math. Ann. 125:325 (1953).
U. Pirl,Math. Nachr. 40:111 (1969).
A. M. Lesk,J. Chem. Phys. 63:5048 (1975).
T. W. Melnyk and J. S. Rowlinson,J. Comput. Phys. 7:385 (1971).
R. J. Speedy,J. Chem. Soc. Faraday Trans. II 76:693 (1980).
K. W. Kratky,J. Comput. Phys. 37:205 (1980).
F. H. Ree, R. N. Keeler, and S. L. McCarthy,J. Chem. Phys. 44:3407 (1966).
B. Widom and J. S. Rowlinson,J. Chem. Phys. 52:1670 (1970).
B. Widom,J. Chem. Phys. 54:3950 (1971).
R. J. Speedy,J. Chem. Soc. Faraday Trans. II 73:714 (1977).
W. G. Hoover, N. E. Hoover, and K. Hanson,J. Chem. Phys. 70:1837 (1979).
M. J. D. Powell, private communication.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01022357