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Journal of Mathematical Physics / Volume 29 / Issue 5

J. Math. Phys. 29, 1130 (1988); http://dx.doi.org/10.1063/1.527953 (4 pages)

Absence of phase transitions for continuum models of dimension d>1

David Klein1 and Wei‐Shih Yang2

1Department of Mathematics, Univerisity of Southern California, Los Angeles, California 90089
2Department of Mathematics, University of California at Los Angeles, California 90024

(Received 11 June 1987; accepted 20 January 1988)

Examples of grand canonical continuum models are given in Rd, or a suitable subset of Rd, for which no multiple phases exist.

KEYWORDS and PACS

Keywords

STATISTICAL MECHANICS, PHASE TRANSFORMATIONS, THERMODYNAMICS, CRYSTAL MODELS, PROBABILITY, CONTINUUM MECHANICS

PACS

  • 02.50.-r

    Probability theory, stochastic processes, and statistics

  • 05.20.-y

    Classical statistical mechanics

  • 05.70.Fh

    Phase transitions: general studies

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.527953

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

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    References

    D. Klein, “A class of continuum models with no phase transitions,” J. Math. Phys. 27, 2872 (1986JMAPAQ000027000012002872000001).


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