Ramp model - Revision history

86.30.229.2: /* Repulsive Ramp Model */

2021-07-30T22:20:09Z

Repulsive Ramp Model

← Older revision		Revision as of 00:20, 31 July 2021
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	== 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"> ~~reference to Lomba paper~~</ref>.		<ref name="lomba"> </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.

86.30.229.2: /* Critical points */

2021-07-30T22:17:09Z

Critical points

← Older revision		Revision as of 00:17, 31 July 2021
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	:<math>p_c^/T_c^ \simeq 0.49 \pm 0.01</math>		:<math>p_c^/T_c^ \simeq 0.49 \pm 0.01</math>

	While this liquid-liquid critical point was long held to be in the stable region of the phase diagram, a high density double-network structure was found to be thermodynamically more stable than the high-density liquid under any conditions.		While this liquid-liquid critical point was long held to be in the stable region of the phase diagram, a high density double-network structure was found to be thermodynamically more stable than the high-density liquid under any conditions.<ref name="paraty">
			[https://doi.org/10.1103/PhysRevLett.127.015701 A. P. Bartók, G. Hantal, L. B. Pártay "Insight into Liquid Polymorphism from the Complex Phase Behavior of a Simple Model", Physical Review Letters '''127''' 015701 (2021)]
			</ref>:

	== Repulsive Ramp Model ==		== Repulsive Ramp Model ==

86.30.229.2: /* Critical points */

2021-07-30T22:14:48Z

Critical points

← Older revision		Revision as of 00:14, 31 July 2021
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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>

			While this liquid-liquid critical point was long held to be in the stable region of the phase diagram, a high density double-network structure was found to be thermodynamically more stable than the high-density liquid under any conditions.

	== Repulsive Ramp Model ==		== Repulsive Ramp Model ==

Carl McBride: /* References */ Added a recent publication

2015-06-23T11:07:15Z

References: Added a recent publication

← Older revision		Revision as of 13:07, 23 June 2015
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	*[http://dx.doi.org/10.3390/ijms11125184 Limei Xu, Sergey V. Buldyrev, Nicolas Giovambattista, and H. Eugene Stanley "Liquid-Liquid Phase Transition and Glass Transition in a Monoatomic Model", International Journal of Molecular Sciences '''11''' pp. 5184-5200 (2010)]		*[http://dx.doi.org/10.3390/ijms11125184 Limei Xu, Sergey V. Buldyrev, Nicolas Giovambattista, and H. Eugene Stanley "Liquid-Liquid Phase Transition and Glass Transition in a Monoatomic Model", International Journal of Molecular Sciences '''11''' pp. 5184-5200 (2010)]
	*[http://dx.doi.org/10.1063/1.3521486 Limei Xu, Nicolas Giovambattista, Sergey V. Buldyrev, Pablo G. Debenedetti, and H. Eugene Stanley "Waterlike glass polyamorphism in a monoatomic isotropic Jagla model", Journal of Chemical Physics '''134''' 064507 (2011)]		*[http://dx.doi.org/10.1063/1.3521486 Limei Xu, Nicolas Giovambattista, Sergey V. Buldyrev, Pablo G. Debenedetti, and H. Eugene Stanley "Waterlike glass polyamorphism in a monoatomic isotropic Jagla model", Journal of Chemical Physics '''134''' 064507 (2011)]
			*[http://dx.doi.org/10.1063/1.4921559 Jiayuan Luo, Limei Xu, C. Austen Angell, H. Eugene Stanley and Sergey V. Buldyrev "Physics of the Jagla model as the liquid-liquid coexistence line slope varies", Journal of Chemical Physics '''142''' 224501 (2015)]


	[[Category:models]]		[[Category:models]]
	[[category:Polyamorphic systems]]		[[category:Polyamorphic systems]]

Carl McBride: /* See also */ Added an internal link to the Fermi-Jagla model

2013-04-25T13:13:51Z

See also: Added an internal link to the Fermi-Jagla model

← Older revision		Revision as of 15:13, 25 April 2013
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	*[[Triangular lattice ramp model]]		*[[Triangular lattice ramp model]]
	*[[Polyamorphism: Ramp model]]		*[[Polyamorphism: Ramp model]]
			*[[Fermi-Jagla model]]

	==References==		==References==
	<references />		<references />

Carl McBride: /* References */ Added a recent paper

2011-02-10T10:49:54Z

References: Added a recent paper

← Older revision		Revision as of 12:49, 10 February 2011
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	*[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)]
	*[http://dx.doi.org/10.3390/ijms11125184 Limei Xu, Sergey V. Buldyrev, Nicolas Giovambattista, and H. Eugene Stanley "Liquid-Liquid Phase Transition and Glass Transition in a Monoatomic Model", International Journal of Molecular Sciences '''11''' pp. 5184-5200 (2010)]		*[http://dx.doi.org/10.3390/ijms11125184 Limei Xu, Sergey V. Buldyrev, Nicolas Giovambattista, and H. Eugene Stanley "Liquid-Liquid Phase Transition and Glass Transition in a Monoatomic Model", International Journal of Molecular Sciences '''11''' pp. 5184-5200 (2010)]
			*[http://dx.doi.org/10.1063/1.3521486 Limei Xu, Nicolas Giovambattista, Sergey V. Buldyrev, Pablo G. Debenedetti, and H. Eugene Stanley "Waterlike glass polyamorphism in a monoatomic isotropic Jagla model", Journal of Chemical Physics '''134''' 064507 (2011)]
	[[Category:models]]		[[Category:models]]
	[[category:Polyamorphic systems]]		[[category:Polyamorphic systems]]

Carl McBride: /* References */ Added a recent publication

2011-02-04T14:23:20Z

References: Added a recent publication

← Older revision		Revision as of 16:23, 4 February 2011
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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)]
			*[http://dx.doi.org/10.3390/ijms11125184 Limei Xu, Sergey V. Buldyrev, Nicolas Giovambattista, and H. Eugene Stanley "Liquid-Liquid Phase Transition and Glass Transition in a Monoatomic Model", International Journal of Molecular Sciences '''11''' pp. 5184-5200 (2010)]
	[[Category:models]]		[[Category:models]]
	[[category:Polyamorphic systems]]		[[category:Polyamorphic systems]]

Noe: Internal link added

2009-10-20T14:59:43Z

Internal link added

← Older revision		Revision as of 16:59, 20 October 2009
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	==See also==		==See also==
			*[[Triangular lattice ramp model]]
	*[[Polyamorphism: Ramp model]]		*[[Polyamorphism: Ramp model]]
	==References==		==References==

Noe: /* Lattice gas version */

2009-05-21T10:39:43Z

Lattice gas version

← Older revision		Revision as of 12:39, 21 May 2009
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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 107, 321-330 (2009)]		[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

Noe: /* Lattice gas version */ refererence updated

2009-05-21T10:39:07Z

Lattice gas version: refererence updated

← Older revision		Revision as of 12:39, 21 May 2009
Line 45:		Line 45:
	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 ~~''iFirst''~~ (2009)]		[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