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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>: | ||
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:<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> | ||
== Repulsive Ramp Model == | == Repulsive Ramp Model == | ||
:<math> | In the repulsive ramp case: <math> W_a = 0 </math>; neither liquid-vapor nor liquid-liquid stable equilibria occur | ||
(See Lomba et al. at the list of the references). However, for this model, it has been found a low density crystalline phase, | |||
</math> | This solid phase presents reentrant melting, i.e. It melts into the fluid phase at high pressure. | ||
Recently, the same behavior has ben found in a three-dimensional [[lattice gas|lattice gas]] ramp model <ref> | |||
[http://dx.doi.org/10.1080/00268970902729269 Johan Skule Hoye, Enrique Lomba, and Noe Garcia Almarza, ''One- and three-dimensional lattice models with two repulsive ranges: simple systems with complex phase behaviour'', Mol. Phys 2009 ] </ref> | |||
==See also== | ==See also== | ||
*[[Polyamorphism: Ramp model]] | *[[Polyamorphism: Ramp model]] | ||
==References== | ==References== | ||
<references /> | <references /> | ||
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*[http://dx.doi.org/10.1103/PhysRevE.74.031108 Limei Xu, Sergey V. Buldyrev, C. Austen Angell, and H. Eugene Stanley "Thermodynamics and dynamics of the two-scale spherically symmetric Jagla ramp model of anomalous liquids", Physical Review E '''74''' 031108 (2006)] | *[http://dx.doi.org/10.1103/PhysRevE.74.031108 Limei Xu, Sergey V. Buldyrev, C. Austen Angell, and H. Eugene Stanley "Thermodynamics and dynamics of the two-scale spherically symmetric Jagla ramp model of anomalous liquids", Physical Review E '''74''' 031108 (2006)] | ||
*[http://dx.doi.org/10.1063/1.3043665 Limei Xu, Sergey V. Buldyrev, Nicolas Giovambattista, C. Austen Angell, and H. Eugene Stanley "A monatomic system with a liquid-liquid critical point and two distinct glassy states", Journal of Chemical Physics '''130''' 054505 (2009)] | *[http://dx.doi.org/10.1063/1.3043665 Limei Xu, Sergey V. Buldyrev, Nicolas Giovambattista, C. Austen Angell, and H. Eugene Stanley "A monatomic system with a liquid-liquid critical point and two distinct glassy states", Journal of Chemical Physics '''130''' 054505 (2009)] | ||
[[Category:models]] | [[Category:models]] | ||
[[category:Polyamorphic systems]] | [[category:Polyamorphic systems]] |