Phase transition in a continuum classical system with finite interactions

J. L. Lebowitz; E. H. Lieb

doi:10.1016/0375-9601(72)91033-X

Phase transition in a continuum classical system with finite interactions

J. L. Lebowitz
, E. H. Lieb

Mathematics

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

Ruelle's proof of the existence of a phase transition in a classical continuum system composed of two kinds of particles with hard core repulsions between them (the Widom-Rowlinson model) is here extended to the case of soft potentials.

Original language	English (US)
Pages (from-to)	98-100
Number of pages	3
Journal	Physics Letters A
Volume	39
Issue number	2
DOIs	https://doi.org/10.1016/0375-9601(72)91033-X
State	Published - Apr 24 1972

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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Cite this

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title = "Phase transition in a continuum classical system with finite interactions",

abstract = "Ruelle's proof of the existence of a phase transition in a classical continuum system composed of two kinds of particles with hard core repulsions between them (the Widom-Rowlinson model) is here extended to the case of soft potentials.",

author = "Lebowitz, \{J. L.\} and Lieb, \{E. H.\}",

note = "Funding Information: *Supported in part by A.F.O.S.R. Contract No. F44620-71-C-0013 and by National Science Foundation Grant GP31674X. **Previously such proof was available only for continuum systems with very long range, van de Waals type, potentials, c.f. ref. \textbackslash{}[2\textbackslash{}]a nd for the ideal Bose gas.",

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AU - Lieb, E. H.

N1 - Funding Information: *Supported in part by A.F.O.S.R. Contract No. F44620-71-C-0013 and by National Science Foundation Grant GP31674X. **Previously such proof was available only for continuum systems with very long range, van de Waals type, potentials, c.f. ref. \[2\]a nd for the ideal Bose gas.

PY - 1972/4/24

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N2 - Ruelle's proof of the existence of a phase transition in a classical continuum system composed of two kinds of particles with hard core repulsions between them (the Widom-Rowlinson model) is here extended to the case of soft potentials.

AB - Ruelle's proof of the existence of a phase transition in a classical continuum system composed of two kinds of particles with hard core repulsions between them (the Widom-Rowlinson model) is here extended to the case of soft potentials.

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DO - 10.1016/0375-9601(72)91033-X

M3 - Article

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SP - 98

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JO - Physics Letters A

JF - Physics Letters A

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ER -

Phase transition in a continuum classical system with finite interactions

Abstract

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