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Related papers: Phase behavior of correlated random copolymers

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This paper investigates a Cahn-Hilliard-Swift-Hohenberg system, focusing on a three-species chemical mixture subject to physical constraints on volume fractions. The resulting system leads to complex patterns involving a separation into…

Analysis of PDEs · Mathematics 2024-10-02 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

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

We study the equilibrium behaviour of a mixture of monodisperse hard sphere colloids and polydisperse non-adsorbing polymers at their $\theta$-point, using the Asakura-Oosawa model treated within the free-volume approximation. Our focus is…

Soft Condensed Matter · Physics 2007-05-23 Moreno Fasolo , Peter Sollich

We study random copolymers consisted of two kinds of monomers with attraction between similar kinds. The mean field analysis of this system indicates a continuous phase transition into a phase with periodic microdomain structure. It is…

Condensed Matter · Physics 2009-10-22 A. M. Gutin , C. D. Sfatos , E. I. Shakhnovich

Molecular dynamics simulations are used to investigate the conformations of a single polymer chain, represented by the Kremer-Grest bead-spring model, in a solution with a Lennard-Jones liquid as the solvent when the interaction strength…

Soft Condensed Matter · Physics 2021-11-17 Yisheng Huang , Shengfeng Cheng

An important goal of self-assembly is to achieve a preprogrammed structure with high fidelity. Here, we control the valence of DNA-functionalized emulsions to make linear and branched model polymers, or `colloidomers'. The distribution of…

Soft Condensed Matter · Physics 2018-10-03 Angus McMullen , Miranda Holmes-Cerfon , Francesco Sciortino , Alexander Y. Grosberg , Jasna Brujic

We develop a new analytic approach for the study of lattice heteropolymers, and apply it to copolymers with correlated Markovian sequences. According to our analysis, heteropolymers present three different dense phases depending upon the…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Mueller , M. Mezard , A. Montanari

We have developed a tunable colloidal system and a corresponding simulation model for studying the phase behavior of particles assembling under the influence of long-range magnetic interactions. A monolayer of paramagnetic particles is…

The phase diagram of star polymer solutions in a good solvent is obtained over a wide range of densities and arm numbers by Monte Carlo simulations. The effective interaction between the stars is modeled by an ultrasoft pair potential which…

Soft Condensed Matter · Physics 2009-10-31 M. Watzlawek , C. N. Likos , H. Loewen

The phase diagram of soft spheres with size dispersion has been studied by means of an optimized Monte Carlo algorithm which allows to equilibrate below the kinetic glass transition for all sizes distribution. The system ubiquitously…

Soft Condensed Matter · Physics 2007-05-23 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

Polymers consisting of more than one type of monomer, known as copolymers, are vital to both living and synthetic systems. Copolymerisation has been studied theoretically in a number of contexts, often by considering a Markov process in…

We study analytically the intricate phase behavior of cross-linked $AB$ diblock copolymer melts, which can undergo two main phase transitions due to quenched random constraints: Gelation, i.e., spatially random localization of polymers…

Soft Condensed Matter · Physics 2015-02-10 Alice von der Heydt , Annette Zippelius

We consider coarsening dynamics associated with a Burgers--Cahn--Hilliard system modeling a two-phase flow in one space dimension. Our emphasis is on the effect that coupling between the phase and fluid dynamics has on coarsening rates, and…

Analysis of PDEs · Mathematics 2024-05-21 Peter Howard , Adam Larios , Quyuan Lin

The discovery of topological phases in condensed matter systems has changed the modern conception of phases of matter. The global nature of topological ordering makes these phases robust and hence promising for applications. However, the…

We analyse the momentum distribution of a three-dimensional Fermi gas in the mean-field scaling regime in a trial state that was recently proven to reproduce the Gell-Mann-Brueckner correlation energy for Coulomb potentials. For a class of…

Mathematical Physics · Physics 2025-11-06 Niels Benedikter , Sascha Lill , Diwakar Naidu

Using exact enumeration methods and Monte Carlo simulations we study the phase diagram relative to the conformational transitions of a two dimensional diblock copolymer. The polymer is made of two homogeneous strands of monomers of…

Statistical Mechanics · Physics 2009-10-31 Marco Baiesi , Enrico Carlon , Enzo Orlandini , Attilio L. Stella

In the paper we investigate statistical and topological properties of fractional Brownian polymer chains, equipped with the short-range volume interactions. The attention is paid to statistical properties of collapsed conformations with the…

Soft Condensed Matter · Physics 2021-06-09 A. M. Astakhov , V. A. Avetisov , S. K. Nechaev , K. E. Polovnikov

A simple model for functionalized disordered porous media is proposed and the effects of confinement on self-association, percolation and phase behavior of a fluid of patchy particles are studied. The media is formed by a randomly…

Soft Condensed Matter · Physics 2025-03-12 Yurij V. Kalyuzhnyi , Taras Patsahan , Myroslav Holovko , Peter T. Cummings

We study the phase behavior of single homopolymers in a simple hydrophobic/hydrophilic off-lattice model with sequence independent local interactions. The specific heat is, not unexpectedly, found to exhibit a pronounced peak well below the…

Soft Condensed Matter · Physics 2009-10-31 Anders Irbäck , Erik Sandelin

Phase diagrams of binary mixtures of oppositely charged colloids are calculated theoretically. The proposed mean-field-like formalism interpolates between the limits of a hard-sphere system at high temperatures and the colloidal crystals…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Rene van Roij , Marjolein Dijkstra
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