Ramp model: Difference between revisions

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==Critical points==
==Critical points==
For the particular case <math> W_r^*=3.5; W_a^*=-1.0, d_a^*=1.72, d_c^*=3.0 </math>,
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  is located at:
the liquid-vapour critical point  is located at
<ref>
<ref>
[http://dx.doi.org/10.1063/1.2748043  E. Lomba, N. G. Almarza, C. Martin, C. McBride "Phase behaviour of attractive and repulsive ramp fluids: integral equation and computer simulation studies", Journal of Chemical Physics '''126''' 244510 (2007)]
[http://dx.doi.org/10.1063/1.2748043  E. Lomba, N. G. Almarza, C. Martin, C. McBride "Phase behaviour of attractive and repulsive ramp fluids: integral equation and computer simulation studies", Journal of Chemical Physics '''126''' 244510 (2007)]
</ref>
</ref>:


:<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>


and the liquid-liquid critical point:
and the [[Polyamorphic systems |liquid-liquid]] critical point:


:<math>T_c^* \simeq 0.378 \pm 0.003</math>
:<math>T_c^* \simeq 0.378 \pm 0.003</math>

Revision as of 15:48, 27 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 is located at [2]:

and the liquid-liquid critical point:

See also

References

Related literature