Prediction of phase behavior of nanoconfined Lennard-Jones fluids with density functional theory based on the first-order mean spherical approximation

2006 ◽  
Vol 124 (14) ◽  
pp. 144709 ◽  
Author(s):  
Jianguo Mi ◽  
Yiping Tang ◽  
Chongli Zhong ◽  
Yi-Gui Li
Keyword(s):  
Density Functional Theory ◽  
Phase Behavior ◽  
Density Functional ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Functional Theory ◽  
First Order ◽  
Lennard Jones

scholarly journals The Effect of Topology on Phase Behavior under Confinement

Processes ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 1220
Author(s):  
Arnout M. P. Boelens ◽  
Hamdi A. Tchelepi
Keyword(s):  
Phase Behavior ◽  
Density Functional ◽  
Capillary Condensation ◽  
Good Description ◽  
Functional Theory ◽  
Minkowski Functionals ◽  
First Order ◽  
Lennard Jones ◽  
And Topology ◽  
First Order Transition

This work studies how morphology (i.e., the shape of a structure) and topology (i.e., how different structures are connected) influence wall adsorption and capillary condensation under tight confinement. Numerical simulations based on classical density functional theory (cDFT) are run for a wide variety of geometries using both hard-sphere and Lennard-Jones fluids. These cDFT computations are compared to results obtained using the Minkowski functionals. It is found that the Minkowski functionals can provide a good description of the behavior of Lennard-Jones fluids down to small system sizes. In addition, through decomposition of the free energy, the Minkowski functionals provide a good framework to better understand what are the dominant contributions to the phase behavior of a system. Lastly, while studying the phase envelope shift as a function of the Minkowski functionals it is found that topology has a different effect depending on whether the phase transition under consideration is a continuous or a discrete (first-order) transition.

DENSITY FUNCTIONAL THEORY AND FREEZING OF HARD SPHERES, BEYOND THE PERCUS–YEVICK APPROXIMATION

2007 ◽  
Vol 21 (07) ◽  
pp. 1089-1098 ◽  
Author(s):  
M. MORADI ◽  
A. RAZEGHIZADEH
Keyword(s):  
Density Functional Theory ◽  
Monte Carlo ◽  
Structure Factor ◽  
Hard Sphere ◽  
Density Functional ◽  
Hard Spheres ◽  
Spherical Approximation ◽  
Mean Spherical Approximation ◽  
Functional Theory ◽  
Weighted Density Approximation

The density functional theory for the freezing hard spheres is studied. We use a variety of the hard sphere direct correlation functions (DCFs) such as the one introduced by Roth et al. [J. Phys. Condens. Matter14, 12063 (2002)]; we call it RELK DCF, a new hard sphere DCF developed here by a combination of the RELK and the Percus–Yevick DCFs, and finally the generalized mean spherical approximation (GMSA). The structure factor, the freezing, and order parameters are calculated using these DCFs. The structure factor obtained by the new DCF is in good agreement with the Monte Carlo simulation. The best result for the freezing parameters in comparison with the Monte Carlo simulations is obtained by using our new expression for the DCF. Finally we obtain the Helmholtz free energy of the hard sphere FCC crystals using modified weighted density approximation (MWDA), and again the best results are obtained by using the new expression for the hard sphere DCF.

Bulk phase behavior and interfacial properties of binary mixtures of Lennard-Jones chains and solvent: a Density Functional Theory Study

Soft Matter ◽  
2022 ◽  
Author(s):  
Sergei A Egorov
Keyword(s):  
Phase Diagram ◽  
Density Functional Theory ◽  
Phase Behavior ◽  
Binary Mixtures ◽  
Density Functional ◽  
Interfacial Properties ◽  
Bulk Phase ◽  
Density Functional Theory Study ◽  
Functional Theory ◽  
Lennard Jones

A Density Functional Theory study is performed to analyze both bulk and interfacial properties of solvent-polymer binary mixtures. The effects of increasing polymer chain length on the bulk phase diagram...

scholarly journals Active binary switching of soft colloids: stability and structural properties

Soft Matter ◽  
2021 ◽  
Author(s):  
Michael Bley ◽  
Joachim Dzubiella ◽  
Arturo Moncho Jorda
Keyword(s):  
Density Functional Theory ◽  
Phase Behavior ◽  
Structural Properties ◽  
Brownian Dynamics ◽  
Density Functional ◽  
Equilibrium Structure ◽  
Functional Theory ◽  
Binary Switching ◽  
Soft Colloids ◽  
Non Equilibrium

We employ reactive dynamical density functional theory (R-DDFT) and reactive Brownian dynamics (R-BD) simulations to study the non-equilibrium structure and phase behavior of an active dispersion of soft Gaussian colloids...

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