An upper bound on the critical temperature for a continuous system with short-range interaction |
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Authors: | Joseph G Conlon |
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Institution: | (1) Department of Mathematics, University of Missouri, 65211 Columbia, Missouri |
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Abstract: | A classical gas with short-range interaction in the grand canonical ensemble is studied. Ifp( , z) denotes the thermodynamic pressure at inverse temperature and activityz, then it follows from the Mayer expansion thatp( , z) is infinitely differentiable provided and z are sufficiently small. Here it is shown that there exists
0>0 such thatp( , z) is infinitely differentiable if <
0 andz>0. One can interpret this result as saying that (
0)–1 is an upper bound on the critical temperature for the system. |
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Keywords: | Debye screening cluster expansion stability of matter |
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