The Gas Phase of Continuous Systems of Hard Spheres Interacting via $n$-Body Potential |
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| Authors: | Aldo Procacci Benedetto Scoppola |
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| Institution: | Dep. Matemática-ICEx, UFMG, CP 702, Belo Horizonte G 30.161-970, Brazil.?E-mail: aldo@mat.ufmg.br, BR
Dip. di Matematica, Università“La Sapienza” di Roma, P.zza A. Moro 5, 00185 Roma, Italy.?E-mail: benedetto.scoppola@roma1.infn.it, IT
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| Abstract: | We show that a system of classical continuous hard spheres interacting through a general n body potential satisfying suitable integrability conditions, admits a high temperature-low activity gas phase. We find explicitly
a condition on the activity λ and the inverse temperature β which ensures that the Mayer series for the pressure is absolutely
convergent uniformly in the volume.
Received: 9 September 1999 / Accepted: 4 January 2000 |
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