Melting curve
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Melting curve
Contents |
[edit] Empirical "one-phase" rules
[edit] Lindemann melting law
[edit] Hansen-Verlet freezing rule
[edit] Raveché-Mountain-Street criteria
[edit] Ross melting rule
The Ross melting rule states (Eq. 4
\[A = \frac{1}{2} NE(0) - Nk_BT \ln \upsilon - Nk_BT \ln \upsilon_f^*\]
where \(A\) is the Helmholtz energy function, \(N\) is the number of cells, \(E(0)\) is the potential at the centre of the cell, \(k_B\) is the Boltzmann constant, \(T\) is the temperature, \(\upsilon\) is the volume of the cell, and \(\upsilon_f^*\) is the dimensionless reduced volume in configuration space.
[edit] Zero residual multiparticle entropy criterion
[edit] References
- ↑ F. A. Lindemann "The calculation of molecular natural frequencies", Physikalische Zeitschrift 11 pp. 609-612 (1910)
- ↑ Jean-Pierre Hansen and Loup Verlet "Phase Transitions of the Lennard-Jones System", Physical Review 184 pp. 151-161 (1969)
- ↑ Harold J. Raveché, Raymond D. Mountain, and William B. Streett "Freezing and melting properties of the Lennard‐Jones system", Journal of Chemical Physics 61 pp. 1970- (1974)
- ↑ Marvin Ross "Generalized Lindemann Melting Law", Physical Review 184 pp. 233-242 (1969)
- ↑ P.V. Giaquinta and G. Giunta "About entropy and correlations in a fluid of hard spheres", Physica A: Statistical Mechanics and its Applications 187 pp. 145-158 (1992)
- ↑ P. V. Giaquinta, G. Giunta and S. Prestipino Giarritta "Entropy and the freezing of simple liquids", Physical Review A 45 R6966–R6968 (1992)
- ↑ William P. Krekelberg, Vincent K. Shen, Jeffrey R. Errington, and Thomas M. Truskett "Residual multiparticle entropy does not generally change sign near freezing", Journal of Chemical Physics 128 161101 (2008)
- Related reading
- Hartmut Löwen "Melting, freezing and colloidal suspensions", Physics Reports 237 pp. 249-324 (1994)
- Franz Saija, Santi Prestipino, and Paolo V. Giaquinta "Evaluation of phenomenological one-phase criteria for the melting and freezing of softly repulsive particles", Journal of Chemical Physics 124 244504 (2006)
- Sergey A. Khrapak, Manis Chaudhuri, and Gregor E. Morfill "Communication: Universality of the melting curves for a wide range of interaction potentials", Journal of Chemical Physics 134 241101 (2011)