Electronic Resource
An upper bound on the critical temperature for a continuous system with shortrange interaction
(1990)
Springer
ISSN:
15729613
Keywords:
Debye screening
;
cluster expansion, stability of matter
Source:
Springer Online Journal Archives 18602000
Topics:
Physics
Notes:
Abstract A classical gas with shortrange interaction in the grand canonical ensemble is studied. Ifp(β, z) denotes the thermodynamic pressure at inverse temperatureβ and activityz, then it follows from the Mayer expansion thatp(β, z) is infinitely differentiable providedβ andβz are sufficiently small. Here it is shown that there existsβ 0〉0 such thatp(β, z) is infinitely differentiable ifβ〈β 0 andz〉0. One can interpret this result as saying that (β 0)−1 is an upper bound on the critical temperature for the system.
Type of Medium:
Electronic Resource
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