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Melting curve

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Melting curve

Empirical "one-phase" rules[edit]

Lindemann melting law[edit]


Hansen-Verlet freezing rule[edit]


Raveché-Mountain-Street criteria[edit]


Ross melting rule[edit]

The Ross melting rule states (Eq. 4 [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.

Khrapak melting criteria[edit]

The Khrapak one-phase melting criteria for two dimensional crystals with soft long-ranged interactions is given by (Eq 3 in [5]):

\frac{C_T}{v_T}\approx 4.3

where C_T is the transverse sound velocity, and v_T is the thermal velocity.

Zero residual multiparticle entropy criterion[edit]

[6][7] [8]

Shock melting method[edit]



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