English
Related papers

Related papers: Density Functional Theory for Block Copolymer Melt…

200 papers

We review the progress that has been recently made in the application of time-dependent density functional theory to thermoelectric phenomena. As the field is very young, we emphasize open problems and fundamental issues. We begin by…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 F. G. Eich , M. Di Ventra , G. Vignale

The exact universal functional of integer charge leads to an extension to fractional charge asymptotically when it is applied to a system made of asymptotically separated densities. The extended functional is asymptotically local and is…

Chemical Physics · Physics 2024-12-17 Jing Kong

A new method ( PI-DFT ) which combines path integrals and density functional theory is proposed as a pathway to many fields of physics. Within path integral theory it is possible to construct particle densities without explicitly…

Condensed Matter · Physics 2007-05-23 Peter Borrmann

We illustrate the main features of a recently proposed method based on ensemble density functional theory to divide rigorously a complex molecular system into its parts [M.H. Cohen and A. Wasserman, J. Phys. Chem. A 111, 2229 (2007)]. The…

Other Condensed Matter · Physics 2016-09-28 Morrel H. Cohen , Adam Wasserman , Kieron Burke

Free energy functionals of Ginzburg-Landau type lie at the heart of a broad class of continuum dynamical models, such as the Cahn-Hilliard and Swift-Hohenberg equations. Despite the wide use of such models, the assumptions embodied in the…

Statistical Mechanics · Physics 2022-07-06 Andrew B. Li , Leonid Miroshnik , Brian D. Rummel , Ganesh Balakrishnan , Sang M. Han , Talid Sinno

We consider a diffuse interface model describing a ternary system constituted by a conductive diblock copolymer and a homopolymer acting as solvent. The resulting dynamics is modeled by two Cahn--Hilliard--Oono equations for the copolymer…

Analysis of PDEs · Mathematics 2024-11-07 Helmut Abels , Andrea Di Primio , Harald Garcke

It is commonly accepted that in concentrated solutions or melts high-molecular weight polymers display random-walk conformational properties without long-range correlations between subsequent bonds. This absence of memory means, for…

Soft Condensed Matter · Physics 2009-11-11 J. P. Wittmer , P. Beckrich , F. Crevel , C. C. Huang , A. Cavallo , T. Kreer , H. Meyer

A microscopic theory for coarse graining diblock copolymers into dumbbells of interacting soft colloidal particles has been developed, based on the solution of liquid-state integral equations. The Ornstein-Zernike equation is solved to…

Soft Condensed Matter · Physics 2009-11-13 E. J. Sambriski , M. G. Guenza

Density functional theory is usually formulated in terms of the density in configuration space. Functionals of the momentum-space density have also been studied, and yet other densities could be considered. We offer a unified view from a…

The framework of nuclear energy density functionals is applied to a study of the formation and evolution of cluster states in nuclei. The relativistic functional DD-ME2 is used in triaxial and reflection-asymmetric relativistic…

Nuclear Theory · Physics 2015-06-19 J. P. Ebran , E. Khan , T. Niksic , D. Vretenar

We investigate the effect of fragmentation on the homogeneous free cooling of inelastic hard spheres, using Boltzmann kinetic theory and Direct Monte Carlo simulations. We analyze in detail a model where dissipative collisions may…

Statistical Mechanics · Physics 2015-06-24 Ignacio Pagonabarraga , Emmanuel Trizac

A geometry-based density functional theory is presented for mixtures of hard spheres, hard needles and hard platelets; both the needles and the platelets are taken to be of vanishing thickness. Geometrical weight functions that are…

Soft Condensed Matter · Physics 2009-11-11 Ansgar Esztermann , Hendrik Reich , Matthias Schmidt

We revisit the Fokker-Planck based theory of driven polymer translocation through a narrow nanopore. A bead-spring model of a uniformly charged polyelectrolyte chain translocating through a semi-implicit model of a nanopore embedded in a…

Soft Condensed Matter · Physics 2025-12-02 Bhavesh R. Sarode , Harshwardhan H. Katkar

We develop a new quantitative molecular theory of liquid-phase dipolar polymer gels. We model monomer units of the polymer network as a couple of charged sites separated by a fluctuating distance. For the first time, within the random phase…

Soft Condensed Matter · Physics 2021-03-09 Yury A. Budkov , Nikolai N. Kalikin , Andrei L. Kolesnikov

We model the flow behaviour of dense melts of flexible and semiflexible ring polymers in the presence of walls using a hybrid multiscale approach. Specifically, we perform molecular dynamics simulations and apply the Irving-Kirkwood formula…

Numerical Analysis · Mathematics 2026-05-25 Ranajay Datta , Mária Lukáčová-Medviďová , Andreas Schömer , Peter Virnau

We present an accurate free-energy functional for liquid water written in terms of a set of effective potential fields in which fictitious noninteracting water molecules move. The functional contains an \emph{exact} expression of the…

Soft Condensed Matter · Physics 2011-04-19 Johannes Lischner , T. A. Arias

A generalization of the Density Functional Theory is proposed. The theory developed leads to single-particle equations of motion with a quasi-local mean-field operator, which contains a quasi-particle position-dependent effective mass and a…

Nuclear Theory · Physics 2009-11-07 V. B. Soubbotin , V. I. Tselyaev , X. Vinas

We examine statics and dynamics of phase-separated states of dilute binary mixtures using density functional theory. In our systems, the difference in the salvation chemical potential $\Delta\mu_s$ between liquid and gas is considerably…

Soft Condensed Matter · Physics 2016-05-13 Ryuichi Okamoto , Akira Onuki

We study the Poisson-Boltzmann equation in the context of dense charged fluids where steric effects become important. We generalise the lattice gas theory by introducing a Flory-Huggins entropy for ions of differing volumes and then compare…

Soft Condensed Matter · Physics 2015-07-17 A. C. Maggs , R. Podgornik

Density-functional theory is a formally exact description of a many-body quantum system in terms of its density; in practice, however, approximations to the universal density functional are required. In this work, a model based on deep…

Computational Physics · Physics 2016-08-02 Jeffrey M. McMahon