Structure and phase diagram of mixtures of hard spheres in the limit of infinite size ratio

1998 ◽  
Vol 108 (7) ◽  
pp. 3074-3075 ◽  
Author(s):  
Carlos Vega
Keyword(s):  
Phase Diagram ◽  
Hard Spheres ◽  
Size Ratio

“Sticky” Hard Spheres: Equation of State, Phase Diagram, and Metastable Gels

2007 ◽  
Vol 99 (9) ◽  
Author(s):  
Stefano Buzzaccaro ◽  
Roberto Rusconi ◽  
Roberto Piazza
Keyword(s):  
Phase Diagram ◽  
Equation Of State ◽  
Hard Spheres

Phase diagram of hard spheres confined between two parallel plates

1997 ◽  
Vol 55 (6) ◽  
pp. 7228-7241 ◽  
Author(s):  
Matthias Schmidt ◽  
Hartmut Löwen
Keyword(s):  
Phase Diagram ◽  
Hard Spheres ◽  
Parallel Plates

scholarly journals Bulk fluid phase behaviour of colloidal platelet–sphere and platelet–polymer mixtures

2013 ◽  
Vol 371 (1988) ◽  
pp. 20120259 ◽  
Author(s):  
Daniel de las Heras ◽  
Matthias Schmidt
Keyword(s):  
Phase Diagrams ◽  
Nematic Phase ◽  
Density Functional ◽  
Hard Spheres ◽  
Hard Core ◽  
Fluid Phase ◽  
Phase Behaviour ◽  
Size Ratio ◽  
Polymer Mixtures ◽  
Bulk Fluid

Using a geometry-based fundamental measure density functional theory, we calculate bulk fluid phase diagrams of colloidal mixtures of vanishingly thin hard circular platelets and hard spheres. We find isotropic–nematic phase separation, with strong broadening of the biphasic region, upon increasing the pressure. In mixtures with large size ratio of platelet and sphere diameters, there is also demixing between two nematic phases with differing platelet concentrations. We formulate a fundamental measure density functional for mixtures of colloidal platelets and freely overlapping spheres, which represent ideal polymers, and use it to obtain phase diagrams. We find that, for low platelet–polymer size ratio, in addition to isotropic–nematic and nematic–nematic phase coexistence, platelet–polymer mixtures also display isotropic–isotropic demixing. By contrast, we do not find isotropic–isotropic demixing in hard-core platelet–sphere mixtures for the size ratios considered.

scholarly journals Melting upon cooling and freezing upon heating: fluid–solid phase diagram for Švejk–Hašek model of dimerizing hard spheres

Soft Matter ◽  
2017 ◽  
Vol 13 (6) ◽  
pp. 1156-1160 ◽  
Author(s):  
Yurij V. Kalyuzhnyi ◽  
Andrej Jamnik ◽  
Peter T. Cummings
Keyword(s):  
Phase Diagram ◽  
Solid Phase ◽  
Hard Spheres

Towards the phase diagram of a polydisperse mixture of charged hard spheres

2005 ◽  
Vol 72 (1) ◽  
pp. 96-102 ◽  
Author(s):  
Yu. V Kalyuzhnyi ◽  
G Kahl ◽  
P. T Cummings
Keyword(s):  
Phase Diagram ◽  
Hard Spheres ◽  
Polydisperse Mixture ◽  
Charged Hard Spheres

Influence of the size ratio on freezing of oppositely charged hard spheres

1988 ◽  
Vol 132 (4) ◽  
pp. 187-189 ◽  
Author(s):  
B. Brami ◽  
F. Joly ◽  
J.L. Barrat ◽  
J.P. Hansen
Keyword(s):  
Hard Spheres ◽  
Size Ratio ◽  
Oppositely Charged ◽  
Charged Hard Spheres

scholarly journals Generic phase diagram of binary superlattices

2016 ◽  
Vol 113 (37) ◽  
pp. 10269-10274 ◽  
Author(s):  
Alexei V. Tkachenko
Keyword(s):  
Phase Diagram ◽  
Phase Behavior ◽  
Hard Spheres ◽  
General Procedure ◽  
Particle Size Ratio ◽  
System Composition ◽  
Wide Range ◽  
Self Assembled ◽  
Model Features ◽  
2D And 3D

Emergence of a large variety of self-assembled superlattices is a dramatic recent trend in the fields of nanoparticle and colloidal sciences. Motivated by this development, we propose a model that combines simplicity with a remarkably rich phase behavior applicable to a wide range of such self-assembled systems. Those systems include nanoparticle and colloidal assemblies driven by DNA-mediated interactions, electrostatics, and possibly, controlled drying. In our model, a binary system of large and small hard spheres (L and S, respectively) interacts via selective short-range (“sticky”) attraction. In its simplest version, this binary sticky sphere model features attraction only between S and L particles. We show that, in the limit when this attraction is sufficiently strong compared with kT, the problem becomes purely geometrical: the thermodynamically preferred state should maximize the number of LS contacts. A general procedure for constructing the phase diagram as a function of system composition f and particle size ratio r is outlined. In this way, the global phase behavior can be calculated very efficiently for a given set of plausible candidate phases. Furthermore, the geometric nature of the problem enables us to generate those candidate phases through a well-defined and intuitive construction. We calculate the phase diagrams for both 2D and 3D systems and compare the results with existing experiments. Most of the 3D superlattices observed to date are featured in our phase diagram, whereas several more are predicted for future discovery.

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