Parallel hard cubes: Difference between revisions
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'''Parallel hard cubes''' | '''Parallel hard cubes''' | ||
==Usefulness of the Model== | |||
Parallel hard cubes provide a simple statistical mechanical model, amenable to analytic and theoretical work as well as computer simulation. | |||
Beginning with Geilikman's work in Russia in 1950 a succession of studies have clarified [1] the low-density virial expansion (pressure as | |||
a power series in the density) {2} the ordering phase transition at moderate density, [3] the properties of mixtures of cubes of different | |||
sizes, and [4] the conceptual role of the model as an ideal-gas thermometer capable of measuring separately the tensor components of | |||
temperature, <math>\{ T_{xx}, T_{yy}, T_{zz} \}</math>. | |||
==Mixtures== | ==Mixtures== | ||
#[http://dx.doi.org/10.1103/PhysRevLett.76.3742 José A. Cuesta "Fluid Mixtures of Parallel Hard Cubes", Physical Review Letters '''76''' pp. 3742-3745 (1996)] | #[http://dx.doi.org/10.1103/PhysRevLett.76.3742 José A. Cuesta "Fluid Mixtures of Parallel Hard Cubes", Physical Review Letters '''76''' pp. 3742-3745 (1996)] | ||
Revision as of 07:10, 1 February 2009
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Parallel hard cubes
Usefulness of the Model
Parallel hard cubes provide a simple statistical mechanical model, amenable to analytic and theoretical work as well as computer simulation. Beginning with Geilikman's work in Russia in 1950 a succession of studies have clarified [1] the low-density virial expansion (pressure as a power series in the density) {2} the ordering phase transition at moderate density, [3] the properties of mixtures of cubes of different sizes, and [4] the conceptual role of the model as an ideal-gas thermometer capable of measuring separately the tensor components of temperature, .
Mixtures
- José A. Cuesta "Fluid Mixtures of Parallel Hard Cubes", Physical Review Letters 76 pp. 3742-3745 (1996)
- José A. Cuesta and Yuri Martínez-Ratón "Fundamental measure theory for mixtures of parallel hard cubes. I. General formalism", Journal of Chemical Physics 107 pp. 6379- (1997)
- Yuri Martínez-Ratón and José A. Cuesta "Fundamental measure theory for mixtures of parallel hard cubes. II. Phase behavior of the one-component fluid and of the binary mixture", Journal of Chemical Physics 111 pp. 317- (1999)
References
- Robert W. Zwanzig "Virial Coefficients of "Parallel Square" and "Parallel Cube" Gases", Journal of Chemical Physics 24 pp. 855-856 (1956)
- William G. Hoover and Andrew G. De Rocco, "Sixth and Seventh Virial Coefficients for the Parallel Hard-Cube Model", Journal of Chemical Physics 36, 3141 (1962).
- William G. Hoover, "High-Density Equation of State of Hard Parallel Squares and Cubes", Journal of Chemical Physics 40, 937 (1964).
- T. R. Kirkpatrick "Ordering in the parallel hard hypercube gas", Journal of Chemical Physics 85 pp. 3515-3519 (1986)
- José A. Cuesta and Yuri Martínez-Ratón "Dimensional Crossover of the Fundamental-Measure Functional for Parallel Hard Cubes", Physical Review Letters 78 pp. 3681-3684 (1997)