Hard-sphere binary-collision operators |
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| Authors: | J R Dorfman M H Ernst |
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| Institution: | (1) Institute for Physical Science and Technology, University of Maryland, 20742 College Park, Maryland;(2) Department of Physics and Astronomy, University of Maryland, 20742 College Park, Maryland;(3) Instituut voor Theoretische Fysica, Rijksuniversiteit, Utrecht, 3508 TA Utrecht, The Netherlands |
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| Abstract: | The time displacement operator is described for a system of hard-sphere particles. We show how to avoid needing a representation for this operator in unphysical regions of phase space, and how to construct a useful representation in terms of binary collision operators in the physical region. The various binary collision operators used for hard-sphere systems are derived for the case of a system of two spheres, and the results are generalized toN-particle systems.Dedicated to Prof. E. G. D. Cohen on the occasion of his 65th birthday. |
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| Keywords: | Binary collision operator hard spheres kinetic theory Liouville operator |
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