A one-dimensional model of a classical fluid is described in which many-body, although shortrange, interactions of a "clustering" type are allowed in addition to short-range pair interactions with a hard core. The model always satisfies the appropriate stability and convexity requirements. It is sho
Phase transitions in one-dimensional cluster-interaction fluids II. Simple logarithmic model
โ Scribed by B.U Felderhof; Michael E Fisher
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 561 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0003-4916
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โฆ Synopsis
The one-dimensional many-body cluster interaction models studied in Part I are here specialized to the case where the many-body potentials, when they act, are constants independent of the particle coordinates. The nature and location of the phase transition which arises when the surface energy W(I) varies as In 1 is studied. The behavior of various thermodynamic properties along and near the vapor pressure curve, p,(T), is investigated in detail. It is shown that critical-like phenomena occur all along the vapor pressure curve; specifically, p -p. varies as (v -zQrn as the specific "volume" v approaches the gaseous side of the coexistence curve at constant T, with S(T) > 1 depending on TIT,.
๐ SIMILAR VOLUMES
A one-dimensional model of a classical fluid is described in which many-body, although shortrange, interactions of a "clustering" type are allowed in addition to short-range pair interactions with a hard core. The model always satisfies the appropriate stability and convexity requirements. It is sho
A one-dimensional model of a classical fluid is described in which many-body, although shortrange, interactions of a "clustering" type are allowed in addition to short-range pair interactions with a hard core. The model always satisfies the appropriate stability and convexity requirements. It is sho