Ramp model: Difference between revisions

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m (Implemented Cite.)
m (→‎Critical points: potential parameters specified)
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where the red line represents an attractive implementation of the model, and the green line  a repulsive implementation.
where the red line represents an attractive implementation of the model, and the green line  a repulsive implementation.
==Critical points==
==Critical points==
The liquid-vapour critical point is located at (Ref. 4)
For the particular case <math> W_r^*=3.5; W_a^*=-1.0, d_a^*=1.72, d_c^*=3.0 </math>,
the liquid-vapour critical point (for the particular case  is located at (Ref. 4)


:<math>T_c^* = 1.487 \pm 0.003</math>
:<math>T_c^* = 1.487 \pm 0.003</math>
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:<math>p_c^* \simeq 0.042</math>
:<math>p_c^* \simeq 0.042</math>


The liquid-liquid critical point is located at (Ref. 4)
and the liquid-liquid critical point is located at (Ref. 4)


:<math>T_c^* \simeq 0.378 \pm 0.003</math>
:<math>T_c^* \simeq 0.378 \pm 0.003</math>
:<math>\rho_c \sigma^3  \simeq 0.380 \pm 0.002</math>
:<math>\rho_c \sigma^3  \simeq 0.380 \pm 0.002</math>
:<math>p_c^*/T_c^* \simeq 0.49 \pm 0.01</math>
:<math>p_c^*/T_c^* \simeq 0.49 \pm 0.01</math>
==See also==
==See also==
*[[Polyamorphism: Ramp model]]
*[[Polyamorphism: Ramp model]]

Revision as of 15:17, 26 February 2009

The ramp model, proposed by Jagla [1] and sometimes known as the Jagla model, is described by:

where is the intermolecular pair potential, , and .

Graphically, one has:

where the red line represents an attractive implementation of the model, and the green line a repulsive implementation.

Critical points

For the particular case , the liquid-vapour critical point (for the particular case is located at (Ref. 4)

and the liquid-liquid critical point is located at (Ref. 4)

See also

References

Related literature