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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

We consider symmetric binary mixtures consisting of spherical particles with equal diameters interacting via a hard-core plus attractive tail potential with strengths epsilon_{ij}, i,j=1,2, such that epsilon_{11} = epsilon_{22} >…

Soft Condensed Matter · Physics 2009-11-07 D. Pini , M. Tau , A. Parola , L. Reatto

In this paper we consider a two-dimensional model of a copolymer consisting of a random concatenation of hydrophilic and hydrophobic monomers, immersed in a micro-emulsion of random droplets of oil and water. The copolymer interacts with…

Probability · Mathematics 2012-04-06 Frank den Hollander , Nicolas Pétrélis

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

For different phases to coexist in equilibrium at constant temperature $T$ and pressure $P$, the condition of equal chemical potential $\mu$ must be satisfied. This condition dictates that, for a single-component system, the maximum number…

Soft Condensed Matter · Physics 2016-11-23 Kenji Akahane , John Russo , Hajime Tanaka

We investigate the phase diagram of disordered copolymers at the interface between two selective solvents, and in particular its weak-coupling behavior, encoded in the slope $m_c$ of the critical line at the origin. In mathematical terms,…

Probability · Mathematics 2008-11-25 T. Bodineau , G. Giacomin , H. Lacoin , F. Toninelli

For a diblock copolymer with total chain length $\gamma>0$ and mass ratio $m\in(-1,1)$, we consider the problem of minimizing the doubly nonlocal free energy $$ \mathcal{E}_{\varepsilon}(u) =\mathcal{H}(u) +\frac{1}{\varepsilon^{2s}}…

Analysis of PDEs · Mathematics 2020-11-16 Hardy Chan , Masomeh Jamshid Nejad , Juncheng Wei

The rich mesophase polymorhism and the phase sequence of board-like colloids depends critically on their shape anisometry. Implementing extensive Monte Carlo simulations, we calculated the full phase diagram of sterically interacting…

Soft Condensed Matter · Physics 2013-09-10 Stavros D. Peroukidis , Alexandros G. Vanakaras

In view of recent intense experimental and theoretical interests in the biophysics of liquid-liquid phase separation (LLPS) of intrinsically disordered proteins (IDPs), heteropolymer models with chain molecules configured as self-avoiding…

Biomolecules · Quantitative Biology 2018-08-30 Suman Das , Adam Eisen , Yi-Hsuan Lin , Hue Sun Chan

We provide an introductory account of a tricritical phase diagram, in the setting of a mean-field random walk model of a polymer density transition, and clarify the nature of the density transition in this context. We consider a…

Mathematical Physics · Physics 2020-11-25 Roland Bauerschmidt , Gordon Slade

Co-assembly of inorganic nanoparticles (NPs) and nanostructured polymer matrix represents an intricate interplay of enthalpic or entropic forces. Particle size largely affects the phase behavior of the nanocomposite. Theoretical studies…

Soft Condensed Matter · Physics 2022-04-25 Le Ma , Hejin Huang , Peter Ercius , Alfredo Alexander-Katz , Ting Xu

We study the structure of the phase diagram for systems consisting of 2- and 3- level particles dipolarly interacting with a 1-mode electromagnetic field, inside a cavity, paying particular attention to the case of a finite number of…

Quantum Physics · Physics 2015-02-04 Eduardo Nahmad-Achar , Sergio Cordero , Octavio Castaños , Ramón López-Peña

In this work we investigated the phase behavior of melts of block-copolymers with one charged block by means of dissipative particle dynamics with explicit electrostatic interactions. We assumed that all the Flory-Huggins \c{hi} parameters…

Soft Condensed Matter · Physics 2019-06-12 Alexey A. Gavrilov , Alexander V. Chertovich , Igor I. Potemkin

We study a model of flexible block copolymers (BCPs) in which there is an enlthalpic preference for local alignment, among like-block segments. We describe a generalization of the self-consistent field theory (SCFT) of flexible BCPs to…

Soft Condensed Matter · Physics 2018-05-23 Christopher J. Burke , Gregory M. Grason

A new mean-field type theory is proposed to study order-disorder transitions (ODT) in block copolymers. The theory applies to both the weak segregation (WS) and the strong segregation (SS) regimes. A new energy functional is proposed…

Materials Science · Physics 2016-08-31 A. Rebei , J. de Pablo

The effect of adding nonadsorbing polymer to a lamellar phase of surfactant bilayers is studied theoretically. We find that the polymer produces coexistence between two lamellar phases of different layer spacings. The coexistence region is…

Soft Condensed Matter · Physics 2008-02-03 Richard P. Sear

In this paper we present a detailed analytical study of the phase diagram and of the structural properties of a field theoretic model with a short-range attraction and a competing long-range screened repulsion. We provide a full derivation…

Soft Condensed Matter · Physics 2009-11-13 Marco Tarzia , Antonio Coniglio

Using numerical techniques and asymptotic expansions we obtain the phase diagram of a paradigmatic model of Coulomb frustrated phase separation in systems with negative short-range compressibility. The transition from the homogeneous phase…

Strongly Correlated Electrons · Physics 2008-07-10 C. Ortix , J. Lorenzana , C. Di Castro

X-shaped liquid crystalline molecules (XLCMs) are obtained by tethering two flexible end A-blocks and two flexible side B-blocks to a rigid backbone (R). A rich array of ordered structures can be formed from XLCMs, driven by the competition…

Soft Condensed Matter · Physics 2024-10-25 Dan Wei , Zhijuan He , Yunqing Huang , An-Chang Shi , Kai Jiang

Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a submonolayer lattice-gas of interacting monomers adsorbed on one-dimensional channels arranged in a triangular…

Strongly Correlated Electrons · Physics 2009-11-11 P. M. Pasinetti , F. Roma , J. L. Riccardo , A. J. Ramirez-Pastor