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The phase behaviour of blends of ABC triblock and ac diblock copolymers is examined using self-consistent field theory. Several equilibrium lamellar structures are observed, depending on the volume fraction of the diblocks, phi_2, the…

Soft Condensed Matter · Physics 2009-11-07 Robert A. Wickham , An-Chang Shi

Molecular dynamics simulations are used to study the phase behavior of a single linear multiblock copolymer with blocks of A- and B-type monomers under poor solvent conditions, varying the block length $N$, number of blocks $n$, and the…

Soft Condensed Matter · Physics 2011-02-25 P. E. Theodorakis , N. G. Fytas

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

In this paper we study a model describing a copolymer in a micro-emulsion. The copolymer consists of a random concatenation of hydrophobic and hydrophilic monomers, the micro-emulsion consists of large blocks of oil and water arranged in a…

Probability · Mathematics 2016-10-03 Frank den Hollander , Nicolas Pétrélis

Molecular dynamics simulations are used to study the phase behavior of linear multiblock copolymers with two types of monomers, A and B, where the length of the polymer blocks $N_{A}$ and $N_{B}$ ($N_{A}=N_{B}=N$), the number of the blocks…

Soft Condensed Matter · Physics 2011-02-04 Panagiotis E. Theodorakis , Nikolaos G. Fytas

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

The Leibler theory [L. Leibler, Macromolecules, v.13, 1602 (1980)] for microphase separation in AB block copolymer melts is generalized for systems with arbitrary topology of molecules. A diagrammatic technique for calculation of the…

Soft Condensed Matter · Physics 2009-10-31 A. N. Morozov , J. G. E. M. Fraaije

We investigate the phase behaviour of random copolymers melts via large scale Monte Carlo simulations. We observe macrophase separation into A and B--rich phases as predicted by mean field theory only for systems with a very large…

Soft Condensed Matter · Physics 2009-11-07 J. Houdayer , M. Mueller

Microphase separation in random multiblock copolymers is studied with mean-field theory assuming that long blocks of a copolymer are strongly segregated, whereas short blocks are able to penetrate into "alien" domains and exchange between…

Soft Condensed Matter · Physics 2021-01-12 E. N. Govorun , A. V. Chertovich

A system of two self and mutual interacting ring polymers, close together in space, can display several competing equilibrium phases and phase transitions. Using Monte Carlo simulations and combinatorial arguments on a corresponding lattice…

Soft Condensed Matter · Physics 2026-04-17 EJ Janse van Rensburg , E Orlandini , MC Tesi , SG Whittington

Block copolymer melts self-assemble in the bulk into a variety of nanostructures, making them perfect candidates to template the position of nanoparticles. The morphological changes of block copolymers are studied in the presence of a…

Soft Condensed Matter · Physics 2019-10-31 Javier Diaz , Marco Pinna , Andrei V. Zvelindovsky , Ignacio Pagonabarraga

Phase behavior of diblock copolymer/homopolymer blends (AB/C) is investigated theoretically. The study focuses on a special case where all three binary pairs, A/B, B/C and C/A, are miscible. Despite the miscibility of the binary pairs, a…

Soft Condensed Matter · Physics 2015-05-13 Jiajia Zhou , An-Chang Shi

Structure of the morphotropic phase and the phase coexistence region has been investigated in (1-x)Bi(Mg1/2Zr1/2)O3-xPbTiO3 ceramics. The structure is cubic with space group Pm3m for the compositions with x<0.57 and tetragonal with space…

Materials Science · Physics 2014-06-17 Rishikesh Pandey , Ashish Tiwari , Ashutosh Upadhyay , Akhilesh Kumar Singh

We give an elementary and pedagogical review of the phase diagrams which are possible in Quantum ChromoDynamics (QCD). Currently, the emphasis is upon the appearance of a critical endpoint, where disordered and ordered phases meet. In many…

High Energy Physics - Phenomenology · Physics 2022-03-23 Robert D. Pisarski , Vladimir V. Skokov , Alexei M. Tsvelik

Nanocomposite materials made of block copolymer and nanoparticles display properties which can be different from the purely polymeric matrix. The resulting material is a crossover of the original properties of the block copolymer and the…

Soft Condensed Matter · Physics 2019-11-04 Javier Diaz , Marco Pinna , Andrei V. Zvelindovsky , Ignacio Pagonabarraga

We consider micro- and macro- phase separation in blends of AB and BC diblock copolymers. We show that, depending on architecture, a number of phase diagram topologies are possible. Microphase separation or macrophase separation can occur,…

Soft Condensed Matter · Physics 2009-10-31 Peter D. Olmsted , Ian W. Hamley

The Leibler weak segregation theory in molten diblock copolymers is generalized with due regard for the 2nd shell harmonics contributions defined in the paper and the phase diagrams are built for the linear and miktoarm ternary ABC triblock…

Soft Condensed Matter · Physics 2009-11-11 Igor Ya. Erukhimovich

The phase behavior of symmetric diblock copolymers under three-dimensional (3D) soft confinement is investigated using the self-consistent field theory. The soft confinement is realized in binary blends composed AB diblock copolymers and C…

Soft Condensed Matter · Physics 2024-08-28 Zhijuan He , Jin Huang , Kai Jiang , An-Chang Shi

A theoretical scheme for the calculation of the full phase diagram (including cloud and shadow curves, binodals and distribution functions of the coexisting phases) for colloid-polymer mixtures with polymer chain length polydispersity and…

Soft Condensed Matter · Physics 2009-11-13 Y. V. Kalyuzhnyi , P. T. Cummings

We analyze the energetics of sphere-like micellar phases in diblock copolymers in terms of well-studied, geometric quantities for their lattices. We argue that the A15 lattice with Pm3n symmetry should be favored as the blocks become more…

Soft Condensed Matter · Physics 2007-05-23 G. M. Grason , B. A. DiDonna , R. D. Kamien
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