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The short-time stability of concentration profiles in coherent periodic multilayers consisting of two components with large miscibility gap is investigated by analysing stationary solutions of the Cahn-Hilliard diffusion equation. The…

Materials Science · Physics 2009-10-31 Martina Hentschel , Manfred Bobeth , Gerhard Diener , Wolfgang Pompe

Motivated by recent experimental and theoretical work on the control of phase separation by (electro-)autocatalytic reactions, we analyze pattern formation in externally driven phase separating systems described by a generalization of the…

Chemical Physics · Physics 2023-10-03 Hongbo Zhao , Martin Z. Bazant

Living and engineered systems rely on the stable coexistence of two interspersed liquid phases. Yet surface tension drives their complete separation. Here we show that stable droplets of uniform and tuneable size can be produced through…

Dynamic instability of microtubules is considered using frameworks of non-linear thermodynamics and non-equilibrium reaction-diffusion systems. Stochastic assembly/disassembly phases in the polymerization dynamics of microtubules are…

Subcellular Processes · Quantitative Biology 2016-11-15 Eugene Katrukha

Liquid-liquid phase separation has emerged as one of the important paradigms in the chemical physics as well as biophysics of charged macromolecular systems. We elucidate an equilibrium phase separation mechanism based on charge regulation,…

Soft Condensed Matter · Physics 2020-12-25 Arghya Majee , Markus Bier , Ralf Blossey , Rudolf Podgornik

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

Composition fluctuations in disordered melts of symmetric diblock copolymers are studied by Monte Carlo simulation over a range of chain lengths and interaction strengths. Results are used to test three theories: (1) the random phase…

Soft Condensed Matter · Physics 2011-06-09 Jian Qin , David C. Morse

The microphase separated morphology of a melt of a specific class of comb-coil diblock copolymers, consisting of an AB comb block and a linear homopolymer A block, is analyzed in the weak segregation limit. On increasing the length of the…

Soft Condensed Matter · Physics 2009-11-07 Rikkert J. Nap , Gerrit ten Brinke

We develop a thermodynamic description of particles held at a fixed surface potential. This system is of particular interest in view of the continuing controversy over the possibility of a fluid-fluid phase separation in aqueous colloidal…

Soft Condensed Matter · Physics 2009-11-10 Yan Levin , Emmanuel Trizac , Lyderic Bocquet

The periodic microphases that self-assemble in systems with competing short-range attractive and long-range repulsive interactions are structurally both rich and elegant. Significant theoretical and computational efforts have thus been…

Soft Condensed Matter · Physics 2021-08-20 Patrick Charbonneau , Marco Tarzia

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

A phenomenological mean-field theory is used to investigate the properties of solvent-diluted di-block copolymers (BCP), in which the two BCP components (A and B) form a variety of phases that are diluted by a solvent (S). Using this…

Soft Condensed Matter · Physics 2014-04-22 Shai Cohen , David Andelman

The phase behavior of a cross-linked polymer blend made of two incompatible species, $A$ and $B$, of different chemical nature is analyzed. Besides a homogeneous phase, this system also exhibits two microphases and a phase of total…

Condensed Matter · Physics 2007-05-23 Edilson Vargas , Marcia C. Barbosa

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

We study the thermodynamics of continuous transformations between two canonical, cubic network phases of block copolymer melts: double-gyroid, an equilibrium morphology for many systems; and double-diamond, often thought to be a close…

Soft Condensed Matter · Physics 2025-07-11 Micheal S. Dimitriyev , Benjamin R. Greenvall , Rejoy Matthew , Gregory M. Grason

Differences in activities in colloidal particles are sufficient to drive phase separation between active and passive (or less active) particles, even if they have only excluded volume interactions. In this paper, we study the phase…

Soft Condensed Matter · Physics 2020-05-27 Efe Ilker , Jean-François Joanny

We introduce a mesoscale technique for simulating the structure and rheology of block copolymer melts and blends in hydrodynamic flows. The technique couples dynamic self consistent field theory (DSCFT) with continuum hydrodynamics and flow…

Soft Condensed Matter · Physics 2009-11-11 David M. Hall , Turab Lookman , Glenn H. Fredrickson , Sanjoy Banerjee

We report a characterization of the relative stability and structural behavior of various micellar crystals of an athermal model of AB-diblock copolymers in solution. We adopt a previously devel- oped coarse-graining representation of the…

Computational Physics · Physics 2015-03-19 Giuseppe D'Adamo , Carlo Pierleoni

Many materials containing colloids or polymers are polydisperse: They comprise particles with properties (such as particle diameter, charge, or polymer chain length) that depend continuously on one or several parameters. This review…

Soft Condensed Matter · Physics 2007-05-23 Peter Sollich

We present a generalized theory for studying phase separation in blends of polymers containing dipoles on their backbone. The theory is used to construct co-existence curves and to study the effects of dipolar interactions on interfacial…

Soft Condensed Matter · Physics 2014-11-04 Rajeev Kumar , Bobby G. Sumpter , M. Muthukumar