The extended law of corresponding states when attractions meet repulsions

Soft Matter ◽  
2018 ◽  
Vol 14 (19) ◽  
pp. 3704-3715 ◽  
Author(s):  
K. van Gruijthuijsen ◽  
M. Obiols-Rabasa ◽  
P. Schurtenberger ◽  
W. G. Bouwman ◽  
A. Stradner
Keyword(s):  
Phase Diagram ◽  
Interaction Potential ◽  
Short Range ◽  
Corresponding States ◽  
Law Of Corresponding States

Rescaling of the phase diagram via B2* (Baxter stickiness) and the interaction potential for short-range attractive colloids with shorter- and longer-ranged repulsions.

Extended law of corresponding states: square-well oblates

2021 ◽  
Author(s):  
Miguel Gómez de Santiago ◽  
Peter Gurin ◽  
Szabolcs Varga ◽  
Gerardo Odriozola
Keyword(s):  
Short Range ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Corresponding States ◽  
Pair Potentials ◽  
Single Master Curve ◽  
Law Of Corresponding States ◽  
Square Well ◽  
Reduced Density ◽  
Reduced Temperature

Abstract The vapour-liquid coexistence collapse in the reduced temperature, Tr=T/Tc, reduced density, ρr= ρ/ρc, plane is known as a principle of corresponding states, and Noro and Frenkel have extended it for pair potentials of variable range. Here, we provide a theoretical basis supporting this extension and show that it can also be applied to short-range pair potentials where both repulsive and attractive parts can be anisotropic. We observe that the binodals of oblate hard ellipsoids for a given aspect ratio (κ=1/3) with varying short-range square-well interactions collapse into a single master curve in the Δ B*2--ρr plane, where Δ B*2= (B2(T)-B*2(Tc))/v0, B2 is the second virial coefficient, and v0 is the volume of the hard body. This finding is confirmed by both REMC simulation and second virial perturbation theory for varying square-well shells, mimicking uniform, equator, and pole attractions. Our simulation results reveal that the extended law of corresponding states is not related to the local structure of the fluid.

scholarly journals Phase diagram of SALR fluids on spherical surfaces

Soft Matter ◽  
2021 ◽  
Author(s):  
Stefano Franzini ◽  
Luciano Reatto ◽  
Davide Pini
Keyword(s):  
Phase Diagram ◽  
Long Range ◽  
Interaction Potential ◽  
Short Range ◽  
Hard Core ◽  
Spherical Surfaces

We investigate the phase diagram of a fluid of hard-core disks confined to the surface of a sphereand whose interaction potential contains a short-range attraction followed by a long-range repul-sive...

Sound velocity in liquid CCl2 F2 and the law of corresponding states

AIChE Journal ◽  
1972 ◽  
Vol 18 (2) ◽  
pp. 430-432 ◽  
Author(s):  
Gregory R. Poole ◽  
Ronald A. Aziz
Keyword(s):  
Sound Velocity ◽  
Corresponding States ◽  
Law Of Corresponding States ◽  
The Law
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