Melting curve: Difference between revisions
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'''Melting curve''' | '''Melting curve''' | ||
=Empirical "one-phase" rules= | |||
==Lindemann melting law== | ==Lindemann melting law== | ||
<ref>F. A. Lindemann "The calculation of molecular natural frequencies", Physikalische Zeitschrift '''11''' pp. 609-612 (1910)</ref> | <ref>F. A. Lindemann "The calculation of molecular natural frequencies", Physikalische Zeitschrift '''11''' pp. 609-612 (1910)</ref> | ||
==Hansen-Verlet freezing rule== | ==Hansen-Verlet freezing rule== | ||
<ref>[http://dx.doi.org/10.1103/PhysRev.184.151 Jean-Pierre Hansen and Loup Verlet "Phase Transitions of the Lennard-Jones System", Physical Review '''184''' pp. 151-161 (1969)]</ref> | <ref>[http://dx.doi.org/10.1103/PhysRev.184.151 Jean-Pierre Hansen and Loup Verlet "Phase Transitions of the Lennard-Jones System", Physical Review '''184''' pp. 151-161 (1969)]</ref> | ||
==Raveché-Mountain-Street criteria== | ==Raveché-Mountain-Street criteria== | ||
<ref>[http://dx.doi.org/10.1063/1.1682198 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)]</ref> | |||
==Ross melting rule== | ==Ross melting rule== | ||
The '''Ross melting rule''' states (Eq. 4 <ref>[http://dx.doi.org/10.1103/PhysRev.184.233 Marvin Ross "Generalized Lindemann Melting Law", Physical Review '''184''' pp. 233-242 (1969)]</ref>): | The '''Ross melting rule''' states (Eq. 4 <ref>[http://dx.doi.org/10.1103/PhysRev.184.233 Marvin Ross "Generalized Lindemann Melting Law", Physical Review '''184''' pp. 233-242 (1969)]</ref>): | ||
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;Related reading | ;Related reading | ||
*[http://dx.doi.org/10.1016/0370-1573(94)90017-5 Hartmut Löwen "Melting, freezing and colloidal suspensions", Physics Reports '''237''' pp. 249-324 (1994)] | *[http://dx.doi.org/10.1016/0370-1573(94)90017-5 Hartmut Löwen "Melting, freezing and colloidal suspensions", Physics Reports '''237''' pp. 249-324 (1994)] | ||
*[http://dx.doi.org/10.1063/1.2208357 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)] | |||
*[http://dx.doi.org/10.1063/1.3605659 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)] | *[http://dx.doi.org/10.1063/1.3605659 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)] | ||
[[category: statistical mechanics]] | [[category: statistical mechanics]] | ||
Revision as of 14:13, 24 June 2011
Melting curve
Empirical "one-phase" rules
Lindemann melting law
Hansen-Verlet freezing rule
Raveché-Mountain-Street criteria
Ross melting rule
The Ross melting rule states (Eq. 4 [4]):
where is the Helmholtz energy function, is the number of cells, is the potential at the centre of the cell, is the Boltzmann constant, is the temperature, is the volume of the cell, and is the dimensionless reduced volume in configuration space.
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)
- 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)