1998
DOI: 10.1103/physrevlett.81.4895
|View full text |Cite
|
Sign up to set email alerts
|

Liquid-State Anomalies and the Stell-Hemmer Core-Softened Potential

Abstract: We study the Stell-Hemmer potential using both analytic (exact 1d and approximate 2d) solutions and numerical 2d simulations. We observe in the liquid phase an anomalous decrease in specific volume and isothermal compressibility upon heating, and an anomalous increase in the diffusion coefficient with pressure. We relate the anomalies to the existence of two different local structures in the liquid phase. Our results are consistent with the possibility of a low temperature/high pressure liquid-liquid phase tra… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1

Citation Types

7
185
0
1

Year Published

2006
2006
2013
2013

Publication Types

Select...
4
4

Relationship

2
6

Authors

Journals

citations
Cited by 194 publications
(195 citation statements)
references
References 25 publications
7
185
0
1
Order By: Relevance
“…The possibility is that liquid water could at low temperatures condense not into a single phase-as we anticipate when a gas with a simple interaction like a Lennard-Jones potential condenses into a fluid-but into two different phases. This possibility was first raised by Takahashi 60 years ago and various elaborations of this model have been made by a number of people since then, including seminal work of Per Hemmer and George Stell in 1971 [7][8][9]. The implications of this is the possibility of two different liquid phases contributing to an increase in these fluctuations in specific volume and a negative contribution to the cross-fluctuations, negative because the deeper well has a larger volume and a lower entropy.…”
Section: What Do We Do?mentioning
confidence: 99%
“…The possibility is that liquid water could at low temperatures condense not into a single phase-as we anticipate when a gas with a simple interaction like a Lennard-Jones potential condenses into a fluid-but into two different phases. This possibility was first raised by Takahashi 60 years ago and various elaborations of this model have been made by a number of people since then, including seminal work of Per Hemmer and George Stell in 1971 [7][8][9]. The implications of this is the possibility of two different liquid phases contributing to an increase in these fluctuations in specific volume and a negative contribution to the cross-fluctuations, negative because the deeper well has a larger volume and a lower entropy.…”
Section: What Do We Do?mentioning
confidence: 99%
“…They possess a repulsive core that exhibits a region of softening where the slope changes dramatically. This region can be a shoulder or a ramp [21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36].…”
Section: Introductionmentioning
confidence: 99%
“…In the first case, the potential consists of a hard core, a square repulsive shoulder and, in some cases, an attractive square well [21,22,23,24,25,26,27,28,29,30,31,34]. In two dimensions, such potentials have density and diffusion anomalies and in some cases a second critical point [22,27,28,29].…”
Section: Introductionmentioning
confidence: 99%
“…1 focused specifically on isostructural phase transitions in materials such as Ce or Cs, but since then many authors have studied a wide range of model system that could exhibit isostructural transitions. [2][3][4][5][6][7][8][9][10][11][12] Most of these systems have a repulsive intermolecular potential that has a region of negative curvature, a feature that is known to be present in the interatomic potentials of some pure metallic systems, metallic mixtures, electrolytes, and colloidal systems. The simplest example of a negative-curvature potential is the repulsive-step potential which consists of a hard core plus a finite repulsive shoulder at a larger radius.…”
mentioning
confidence: 99%
“…The simplest example of a negative-curvature potential is the repulsive-step potential which consists of a hard core plus a finite repulsive shoulder at a larger radius. Systems of particles interacting through such pair potentials can possess a rich variety of phase transitions and thermodynamic anomalies, including liquidliquid phase transitions, 5,6 waterlike anomalies, 7 and isostructural transitions in the solid region. 10,11 The repulsive-step potential has the form…”
mentioning
confidence: 99%