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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 == | ||
In the repulsive ramp case, where <math> W_a = 0 </math>, neither liquid-vapor nor liquid-liquid stable equilibria occur | In the repulsive ramp case, where <math> W_a = 0 </math>, neither liquid-vapor nor liquid-liquid stable equilibria occur | ||
<ref name="lomba"> </ref>. | <ref name="lomba"> reference to Lomba paper</ref>. | ||
However, for this model a low density crystalline phase has been found. | However, for this model a low density crystalline phase has been found. | ||
This solid phase presents re-entrant melting, i.e. this solid melts into the fluid phase as the pressure is increased. | This solid phase presents re-entrant melting, i.e. this solid melts into the fluid phase as the pressure is increased. | ||
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Ramp [[lattice gas|Lattice Gas]] model | Ramp [[lattice gas|Lattice Gas]] model | ||
<ref> | <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", Molecular Physics | [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", Molecular Physics 107, 321-330 (2009)] | ||
</ref> | </ref> | ||
The system is defined on a simple cubic lattice. The interaction is that of a [[lattice hard spheres|lattice | The system is defined on a simple cubic lattice. The interaction is that of a [[lattice hard spheres|lattice | ||
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==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]] |