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'''Melting curve''' | '''Melting curve''' | ||
==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== | |||
==Raveché-Mountain-Street criteria== | |||
==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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where <math>A</math> is the [[Helmholtz energy function]], <math>N</math> is the number of cells, <math>E(0)</math> is the potential at the centre of the cell, | where <math>A</math> is the [[Helmholtz energy function]], <math>N</math> is the number of cells, <math>E(0)</math> is the potential at the centre of the cell, | ||
<math>k_B</math> is the [[Boltzmann constant]], <math>T</math> is the [[temperature]], <math>\upsilon</math> is the volume of the cell, and <math>\upsilon_f^*</math> is the dimensionless reduced volume in configuration space. | <math>k_B</math> is the [[Boltzmann constant]], <math>T</math> is the [[temperature]], <math>\upsilon</math> is the volume of the cell, and <math>\upsilon_f^*</math> is the dimensionless reduced volume in configuration space. | ||
==References== | ==References== | ||
<references/> | <references/> | ||
;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/10.1063/1.3605659 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]] |