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Theory of the Two- and One-Dimensional Rigid Sphere Fluids
Abstract
The approximate theory of the three-dimensional hard sphere fluid developed by Reiss, Frisch, and Lebowitz has given astonishingly good predictions with little labor. In an attempt to investigate the reason for this result we adduce, in this paper, further evidence for the internal consistency of the approximations of this theory. Thus it is noted that the same equation of state of hard sphere fluid is obtained when one used the ``integral condition'' as when the ``infinity condition'' is used. We have then applied the theory to study the thermodynamic properties, in particular the equation of state, of the rigid sphere fluid in two and one dimensions. The approximate equation of state of the two-dimensional rigid sphere fluid is in good agreement over the range of fluid densities with the results of the machine Monte Carlo calculations by Jacobson and Wood and dynamical machine calculations of Wainwright and Alder. The exact Tonks' equation of state of the one-dimensional rigid sphere fluid is derived in a particularly simple manner.
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Citations
Cited by
What is "liquid"? Understanding the states of matter
Barker, J. A., & Henderson, D. (1976) · Reviews of Modern Physics · doi:10.1103/revmodphys.48.587 · Cited by 2,104
Structure in aqueous solutions of nonpolar solutes from the standpoint of scaled-particle theory
Stillinger, F. H. (1973) · Journal of Solution Chemistry · doi:10.1007/bf00651970 · Cited by 678
Phase equilibria of fluid interfaces and confined fluids: Non-local versus local density functionals
Tarazona, P., Marconi, U. M. B., & Evans, R. (1987) · Molecular Physics · doi:10.1080/00268978700100381 · Cited by 640
Scaled Particle Theory of Fluid Mixtures
Lebowitz, J. L., Helfand, E., & Praestgaard, E. (1965) · The Journal of Chemical Physics · doi:10.1063/1.1696842 · Cited by 589
Self-citationPhase diagram of hard spheres confined between two parallel plates
Schmidt, M., & Löwen, H. (1997) · Physical Review E · doi:10.1103/physreve.55.7228 · Cited by 265
Metadata
- Authors
- Helfand, E., Frisch, H. L., & Lebowitz, J. L.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1961-03-01
- Volume
- 34
- Issue
- 3
- Pages
- 1037-1042
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2014979241
- Cited by
- 387
- References
- 0
- FWCI
- 10.25
- Type
- journal article
- Language
- en
- Open access
- closed
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- Helfand, E., Frisch, H. L., & Lebowitz, J. L. (1961). Theory of the Two- and One-Dimensional Rigid Sphere Fluids. The Journal of Chemical Physics. https://doi.org/10.1063/1.1731629
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