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Related papers: Phase behavior of correlated random copolymers

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We consider a model of a random copolymer at a selective interface which undergoes a localization/delocalization transition. In spite of the several rigorous results available for this model, the theoretical characterization of the phase…

Mathematical Physics · Physics 2007-05-23 F. Caravenna , G. Giacomin , M. Gubinelli

We numerically investigate local defectiveness control of self-assembled diblock copolymer patterns through appropriate substrate design. We use a nonlocal Cahn-Hilliard (CH) equation for the phase separation dynamics of diblock copolymers.…

Soft Condensed Matter · Physics 2017-02-13 D. Jeong , Y. Choi , J. Kim

A mean field rate theory description of the homo- and co-polymerization of $f$-functional molecules is developed, which contains the formation of short cyclic structures inside the network. The predictions of this model are compared with…

Soft Condensed Matter · Physics 2021-03-31 Michael Lang , Konrad Schwenke , Jens-Uwe Sommer

We study analytically a continuum model for phase-separation in binary polymer blends based on the Flory-Huggins-De Gennes free energy, by means of the self-consistent large-$n$ limit approach. The model is solved for values of the…

Statistical Mechanics · Physics 2009-10-30 Claudio Castellano , Federico Corberi

We study phase diagrams of a class of doped quantum dimer models on the square lattice with ground-state wave functions whose amplitudes have the form of the Gibbs weights of a classical doped dimer model. In this dimer model, parallel…

Strongly Correlated Electrons · Physics 2007-10-25 Stefanos Papanikolaou , Erik Luijten , Eduardo Fradkin

The phase behavior of asymmetrically interacting ABC star triblock copolymer melts is investigated by the self-consistent field theory (SCFT). Motivated by the experimental systems, in this study, we focus on the systems in which the…

Soft Condensed Matter · Physics 2015-08-25 Kai Jiang , Juan Zhang , Qin Liang

The equilibrium conformations of a flexible permanent magnetic chain that consists of a sequence of linked magnetic colloidal nanoparticles with short-ranged Lennard-Jones attractive interactions (Stockmayer polymer) are thoroughly analysed…

Soft Condensed Matter · Physics 2014-05-23 Joan J. Cerdà , Pedro A. Sánchez , Christian Holm , Tomàs Sintes

The phase structure of a homopolymer chain is investigated in terms of a universal theoretical model, designed to describe the infrared limit of slow spatial variations. The effects of chirality are studied and compared with the influence…

Soft Condensed Matter · Physics 2015-12-25 A. Sinelnikova , A. J. Niemi , M. Ulybyshev

This is the first of two parts investigating the Flory-Huggins interaction parameter chi as a function of composition and chain length. Part I encompasses experimental and theoretical work. The former comprises the synthesis of…

Soft Condensed Matter · Physics 2007-05-23 Maria Bercea , Maria Cazacu , Bernhard A. Wolf

We model a melt of monodisperse side-chain liquid crystalline polymers as a melt of comb copolymers in which the side groups are rod-coil diblock copolymers. We consider both excluded volume and Maier-Saupe interactions. The first acts…

Soft Condensed Matter · Physics 2007-05-23 Marcela Hernandez , Harry Westfahl Junior

We deduce the qualitative phase diagram of a long flexible neutral polymer chain immersed in a poor solvent near an attracting surface using phenomenological arguments. The actual positions of the phase boundaries are estimated numerically…

Statistical Mechanics · Physics 2009-11-07 R. Rajesh , Deepak Dhar , Debaprasad Giri , Sanjay Kumar , Yashwant Singh

We study by Monte Carlo simulations and scaling analysis two models of pairs of confined and dense ring polymers in two dimensions. The pair of ring polymers are modelled by squared lattice polygons confined within a square cavity and they…

Soft Condensed Matter · Physics 2022-01-05 EJ Janse van Rensburg , E Orlandini

We investigate the phase behavior of symmetric AB diblock copolymers confined into a thin film. The film boundaries are parallel, impenetrable and attract the A component of the diblock copolymer. Using a self-consistent field technique…

Statistical Mechanics · Physics 2009-10-31 Thorsten Geisinger , Marcus Mueller , Kurt Binder

In this paper we provide high precision estimates of the phase diagram of active Brownian particles. We extract coexisting densities from simulations of phase separated states in an elongated box (slab geometry) which minimizes finite-size…

Soft Condensed Matter · Physics 2017-08-16 Jonathan Tammo Siebert , Janina Letz , Thomas Speck , Peter Virnau

A system of active colloidal particles driven by harmonic potentials to oscillate about the vertices of a regular polygon, with hydrodynamic coupling between all particles, is described by a piece-wise linear model which exhibits various…

Statistical Mechanics · Physics 2013-05-30 Giovanni M. Cicuta , Enrico Onofri , Marco Cosentino Lagomarsino , Pietro Cicuta

We set out to explore the possibility of investigating the critical behavior of systems with first-order phase transition using deep machine learning. We propose a machine learning protocol with ternary classification of instantaneous spin…

Statistical Mechanics · Physics 2025-10-28 Diana Sukhoverkhova , Vyacheslav Mozolenko , Lev Shchur

Phase separation in complex systems is a ubiquitous phenomenon. While simple theories predict coarsening until only macroscopically large phases remain, concrete models often exhibit patterns with finite length scales. To unify such models,…

Soft Condensed Matter · Physics 2025-11-10 Filipe C. Thewes , Yicheng Qiang , Oliver W. Paulin , David Zwicker

Colloidal patchy particles with divalent attractive interaction can self-assemble into linear polymer chains. Their equilibrium properties in 2D and 3D are well described by Wertheim's thermodynamic perturbation theory which predicts a…

Soft Condensed Matter · Physics 2022-09-21 H. J. Jonas , P. Schall , P. G. Bolhuis

We derive the phase diagram of a paradigmatic model of Coulomb frustrated phase separation in two-dimensional systems with negative short-range electronic compressibility. We consider the system subject either to the truly three-dimensional…

Strongly Correlated Electrons · Physics 2009-05-13 C. Ortix , J. Lorenzana , C. Di Castro

We devise a method for designing materials that will have some desired structural characteristics. We apply it to multiblock copolymers that have two different types of monomers, A and B. We show how to determine what sequence of A's and…

Condensed Matter · Physics 2009-10-28 Tanya Kurosky , J. M. Deutsch