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Polymer self-consistent field theory techniques are used to derive quantum density functional theory without the use of the theorems of density functional theory. Instead, a free energy is obtained from a partition function that is…

Chemical Physics · Physics 2022-11-29 Russell B. Thompson

Rosenfeld's fundamental measure theory for lattice models is given a rigorous formulation in terms of the theory of Mobius functions of partially ordered sets. The free-energy density functional is expressed as an expansion in a finite set…

Statistical Mechanics · Physics 2009-09-29 Luis Lafuente , Jose A. Cuesta

Using the Fundamental-Measure Density Functional Theory, we have studied theoretically the phase behavior of extremely confined mixtures of parallel hard squares in slit geometry. The pore width is chosen such that configurations consisting…

Soft Condensed Matter · Physics 2020-01-09 Yuri Martinez-Raton , Enrique Velasco

The Asakura-Oosawa model for colloid-polymer mixtures is studied by Monte Carlo simulations at densities inside the two-phase coexistence region of fluid and solid. Choosing a geometry where the system is confined between two flat walls,…

Soft Condensed Matter · Physics 2015-06-04 Debabrata Deb , Alexander Winkler , Peter Virnau , Kurt Binder

Two-dimensional mixtures of dipolar colloidal particles with different dipole moments exhibit extremely rich self-assembly behaviour and are relevant to a wide range of experimental systems, including charged and super-paramagnetic colloids…

Soft Condensed Matter · Physics 2019-04-16 W. R. C. Somerville , J. L. Stokes , A. M. Adawi , T. S. Horozov , A. J. Archer , D. M. A. Buzza

A model for the adsorption of a binary mixture on a one-dimensional infinite lattice with nearest neighbour cooperative effects is considered. The particles of the two species are both monomers but differ in the repulsive interaction…

Statistical Mechanics · Physics 2010-04-20 A. Prados , J. J. Brey

We use the classical version of the density-functional theory in the weighted-density approximation to build up the entire phase diagram and the interface structure of a two-dimensional lattice-gas model which is known, from previous…

Statistical Mechanics · Physics 2011-10-25 S. Prestipino , P. V. Giaquinta

We present a simple model for an associating liquid in which polymorphism and density anomaly are connected. Our model combines a two dimensional lattice gas with particles interacting through a soft core potential and orientational degrees…

Statistical Mechanics · Physics 2009-11-10 Vera B. Henriques , Marcia C Barbosa

We report a numerical study of self-avoiding polymers on the square lattice, including an attractive potential between nonconsecutive monomers. Using Wang-Landau sampling (WLS) with adaptive windows, we obtain the density of states for…

Statistical Mechanics · Physics 2009-11-13 A. G. Cunha-Netto , Ronald Dickman , A. A. Caparica

We investigate isotropic-isotropic, isotropic-nematic and nematic-nematic phase coexistence in binary mixtures of circular platelets with vanishing thickness, continuous rotational degrees of freedom and radial size ratios $\lambda$ up to…

Soft Condensed Matter · Physics 2015-05-18 Jonathan Phillips , Matthias Schmidt

We extensively investigated the critical behavior of mixtures of colloids and polymers via the two-component Asakura-Oosawa model and its reduction to a one-component colloidal fluid using accurate theoretical and simulation techniques. In…

Soft Condensed Matter · Physics 2009-11-11 F. Lo Verso , R. L. C. Vink , D. Pini , L. Reatto

We apply a recently proposed density functional for mixtures of parallel hard cylinders, based on Rosenfeld's fundamental measure theory, to study the effect of length-polydispersity on the relative stability between the smectic and…

Soft Condensed Matter · Physics 2015-05-13 Yuri Martinez-Raton , Jose A. Cuesta

This review explains the relationship between density functional theory and strongly correlated models using the simplest possible example, the two-site Hubbard model. The relationship to traditional quantum chemistry is included. Even in…

Strongly Correlated Electrons · Physics 2015-09-30 Diego Carrascal , Jaime Ferrer , Justin C. Smith , Kieron Burke

The implications of soft `patchy' interactions on the orientational disorder-order transition of strongly elongated colloidal rods and flat disks is studied within a simple Onsager-van der Waals density functional theory. The theory…

Soft Condensed Matter · Physics 2015-06-17 H. H. Wensink , E. Trizac

We perform equilibrium computer simulations of a two-dimensional pinned flexible polymer exposed to a quenched disorder potential consisting of hard disks. We are especially interested in the high-density regime of the disorder, where…

Soft Condensed Matter · Physics 2012-05-21 Sebastian Schöbl , Johannes Zierenberg , Wolfhard Janke

We explore the critical behaviour of two and three dimensional lattice models of polymers in dilute solution where the monomers carry a magnetic moment which interacts ferromagnetically with near-neighbour monomers. Specifically, the model…

Statistical Mechanics · Physics 2021-08-25 Damien Paul Foster , Debjyoti Majumdar

We present a unifying picture of the compact, dense and dilute phases of two-dimensional polymers. The lattice dependence of the scaling exponents for compact polymers is reconciled with their universality in the dense and dilute case. In…

Statistical Mechanics · Physics 2007-05-23 Jesper Lykke Jacobsen , Jane' Kondev

We discuss structural correlations in mixtures of free polymer and colloidal particles based on a microscopic, 2-component liquid state integral equation theory. Whereas in the case of polymers much smaller than the spherical particles the…

Soft Condensed Matter · Physics 2009-11-07 Matthias Fuchs , Kenneth S. Schweizer

The non-equilibrium structural and dynamical properties of a flexible polymer tethered to a reflecting wall and subject to oscillatory linear flow are studied by numerical simulations. Polymer is confined in two dimensions and is modeled as…

Soft Condensed Matter · Physics 2024-07-30 A. Lamura

Lipid monolayers and bilayers have been used as experimental models for the investigation of membrane thermal transitions. The main transition takes place near ambient temperatures for several lipids and reflects the order-disorder…

Biological Physics · Physics 2015-06-17 Henrique S. Guidi , Vera B. Henriques