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On approaching the dynamical transition temperature, supercooled liquids show heterogeneity over space and time. Static replica theory investigates the dynamical crossover in terms of the free energy landscape (FEL). Two kinds of static…

Statistical Mechanics · Physics 2024-03-19 Hiroshi Frusawa

We present a numerical algorithm to evaluate the self-consistent field theory for melts composed of block copolymers with multiply-branched architecture. We present results for the case of branched copolymers with doubly-functional groups…

Soft Condensed Matter · Physics 2007-05-23 Gregory M. Grason , Randall D. Kamien

We present several ordering mechanisms in diblock copolymers. For temperatures above the order-disorder temperature and in the weak segregation regime, a linear response theory is presented which gives the polymer density in the vicinity of…

Soft Condensed Matter · Physics 2007-05-23 Yoav Tsori , David Andelman

We present a lattice formulation of a dynamic self-consistent field (DSCF) theory that is capable of resolving interfacial structure, dynamics and rheology in inhomogeneous, compressible melts and blends of unentangled homopolymer chains.…

Soft Condensed Matter · Physics 2009-11-10 Maja Mihajlovic , Tak Shing Lo , Yitzhak Shnidman

In this thesis the formation and properties of a polymer gel on and at a surface are investigated. The gel under investigation is defined as a three-dimensional network of "phantom" macromolecules that form permanent links with one another…

Disordered Systems and Neural Networks · Physics 2007-05-23 WL Vandoolaeghe

The polymer systems are discussed in the framework of the Landau-Ginzburg model. The model is derived from the mesoscopic Edwards hamiltonian via the conditional partition function. We discuss flexible, semiflexible and rigid polymers. The…

Condensed Matter · Physics 2007-05-23 Robert Holyst , T. A. Vilgis

In this work we consider the inverse problem of finding guiding pattern shapes that result in desired self-assembly morphologies of block copolymer melts. Specifically, we model polymer self-assembly using Self-Consistent Field Theory and…

Soft Condensed Matter · Physics 2021-12-20 Daniil Bochkov , Frederic Gibou

Self-consistent theory of electron localization in disordered systems is generalized for the case of interacting electrons. We propose and critically compare a number of possible self-consistency schemes which take into account the lowest…

Condensed Matter · Physics 2008-02-03 E. Z. Kuchinskii , M. V. Sadovskii , V. G. Suvorov

In a preceding paper, we have presented a general lattice formulation of the dynamic self-consistent field (DSCF) theory for inhomogeneous, unentangled homopolymer fluids. Here we apply the DSCF theory to study both transient and…

Soft Condensed Matter · Physics 2007-05-23 Maja Mihajlovic , Tak Shing Lo , Yitzhak Shnidman

The Self-Consistent Field theory of brushes of neutral water-soluble polymers described by two-state models is formulated in terms of the effective Flory interaction parameter $\chi_{eff}(T,\phi)$ that depends on both temperature, T and the…

Soft Condensed Matter · Physics 2016-08-31 Vladimir A. Baulin , Ekaterina B. Zhulina , Avi Halperin

Motivated by the organization of crosslinked cytoskeletal biopolymers, we present a semimicroscopic replica field theory for the formation of anisotropic random networks of semiflexible polymers. The networks are formed by introducing…

Soft Condensed Matter · Physics 2007-11-10 Panayotis Benetatos , Annette Zippelius

Our general interest is in self-consistent-field (scf) theories of disordered fermions. They generate physically relevant sub-ensembles ("scf-ensembles") within a given Altland-Zirnbauer class. We are motivated to investigate such ensembles…

Disordered Systems and Neural Networks · Physics 2020-04-22 Matthias Stosiek , Bruno Lang , Ferdinand Evers

We propose a field-theoretical approach to a polymer system immersed in an ideal mixture of clustering centers. The system contains several species of these clustering centers with different functionality, each of which connects a fixed…

Materials Science · Physics 2015-05-28 Riccardo Fantoni , Kristian K. Muller-Nedebock

Various line fields naturally arise on surfaces in both physical and biological contexts, and generic singularities frequently appear in the form of 1-prong (thorn-like) and 3-prong (tripod-like) configurations, which can be modeled by…

Dynamical Systems · Mathematics 2025-06-27 Tomoo Yokoyama

We compare two theoretical approaches to dielectric diblock copolymer melts in an external electric field. The first is a relatively simple analytic expansion in the relative copolymer concentration, and includes the full electrostatic…

Soft Condensed Matter · Physics 2012-01-31 Yoav Tsori , David Andelman , Chin-Yet Lin , M. Schick

Analytical treatments of polymer dynamics have mostly been restricted to linear response theory around some steady state obtained via perturbative field theory. Here, I derive an analytical framework that yields unified access to the…

Soft Condensed Matter · Physics 2026-04-03 Andriy Goychuk

We study the equilibrium properties of a model of magnetic diblock copolymer where each monomer is decorated with an Ising-like spin. Spins interact ferromagnetically within each block and antiferromagnetically across blocks, generating…

Soft Condensed Matter · Physics 2026-02-27 Alberto Raiola , Emanuele Locatelli , Davide Marenduzzo , Enzo Orlandini

Previous research on semiflexible polymers including cytoskeletal networks in cells has suggested the existence of distinct regimes of elastic response, in which the strain field is either uniform (affine) or non-uniform (non-affine) under…

Soft Condensed Matter · Physics 2009-11-11 D. A. Head , A. J. Levine , F. C. MacKintosh

Reversible crosslinking is a design paradigm for polymeric materials, wherein they are microscopically reinforced with chemical species that form transient crosslinks between the polymer chains. Besides the potential for self-healing,…

Soft Condensed Matter · Physics 2019-04-29 Nicholas B. Tito , Costantino Creton , Cornelis Storm , Wouter G. Ellenbroek

Within self-consistent field theory we study the phase behaviour of a symmetric binary AB polymer blend confined into a thin film. The film surfaces interact with the monomers via short range potentials. One surface attracts the A component…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , K. Binder , E. V. Albano