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Phase behavior of AB-multiblock copolymer melts which consists of chains with Laser distribution of A and B blocks have been investigated in the framework of the mean-field theory, where the polydispersity of copolymer is a function of two…

Condensed Matter · Physics 2009-11-07 M. Foroutan , M. A. Jafarizadeh

Quasicrystals (materials with long range order but without the usual spatial periodicity of crystals) were discovered in several soft matter systems in the last twenty years. The stability of quasicrystals has been attributed to the…

Soft Condensed Matter · Physics 2023-10-12 Merin Joseph , Daniel J. Read , Alastair M. Rucklidge

We consider here a blend made of two types of polymers, $A$ and $B$, of different chemical nature. At high temperature the homogeneous mixture is cross-linked. As the temperature is lowered, the two species try to segregate but are kept…

Condensed Matter · Physics 2015-06-25 Edilson Vargas , Marcia C. Barbosa

We use molecular dynamics simulations to study the static properties of a single linear multiblock copolymer chain under poor solvent conditions varying the block length $N$, the number of blocks $n$, and the solvent quality by variation of…

Soft Condensed Matter · Physics 2015-03-19 N. G. Fytas , P. E. Theodorakis

We use a standard bead-spring model and molecular dynamics simulations to study the static properties of symmetric linear multiblock copolymer chains and their blocks under poor solvent conditions in a dilute solution from the regime close…

Soft Condensed Matter · Physics 2012-03-05 Panagiotis E. Theodorakis , Nikolaos G. Fytas

We study the anisotropic spin-boson model (SBM) with the subohmic bath by a numerically exact method based on variational matrix product states. A rich phase diagram is found in the anisotropy-coupling strength plane by calculating several…

Statistical Mechanics · Physics 2020-05-01 Yan-Zhi Wang , Shu He , Liwei Duan , Qing-Hu Chen

In this paper we review some recent results, obtained jointly with Stu Whittington, for a mathematical model describing a copolymer in an emulsion. The copolymer consists of hydrophobic and hydrophilic monomers, concatenated randomly with…

Probability · Mathematics 2007-06-14 F. den Hollander , N. Petrelis

We present a generalized theory of microphase separation for charged-neutral diblock copolymer melt. Stability limit of the disordered phase for salt-free melt has been calculated using Random Phase Approximation (RPA) and self-consistent…

Soft Condensed Matter · Physics 2009-11-13 Rajeev Kumar , M. Muthukumar

We analyze the combined effect of the long range Coulomb (LRC) interaction and of surface energy on first order density-driven phase transitions in the presence of a compensating rigid background. We study mixed states formed by regions of…

Strongly Correlated Electrons · Physics 2009-10-31 J. Lorenzana , C. Castellani , C. Di Castro

The global phase diagram of the spinless Falicov-Kimball model in d = 3 spatial dimensions is obtained by renormalization-group theory. This global phase diagram exhibits five distinct phases. Four of these phases are charge-ordered (CO)…

Statistical Mechanics · Physics 2012-10-11 Ozan S. Sarıyer , Michael Hinczewski , A. Nihat Berker

The aim of this paper is two-fold. First, via a phenomenological consideration I show that, equally with the conventional phases (body-centred cubic, hexagonal planar and lamellar), such non-conventional phases as simple cubic,…

Soft Condensed Matter · Physics 2007-05-23 Igor Erukhimovich

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

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

In this paper we study a two-dimensional directed self-avoiding walk model of a random copolymer in a random emulsion. The copolymer is a random concatenation of monomers of two types, $A$ and $B$, each occurring with density 1/2. The…

Probability · Mathematics 2009-11-13 Frank den Hollander , Nicolas Pétrélis

Theory is presented for the phase stability of mixtures containing nanospheres and non-adsorbing reversible supramolecular polymers. This was made possible by incorporating the depletion thickness and osmotic pressure of reversible…

Soft Condensed Matter · Physics 2011-06-09 Remco Tuinier

We extensively study the phase diagram of a diblock copolymer melt confined in a cylindrical nanopore using real-space self-consistent mean-field theory. We discover a rich variety of new two-dimensional equilibrium structures that have no…

Soft Condensed Matter · Physics 2009-11-11 Weihua Li , Robert A. Wickham

When two types of side chains (A,B) are densely grafted to a (stiff) backbone and the resulting bottle-brush polymer is in a solution under poor solvent conditions, an incompatibility between A and B leads to microphase separation in the…

Soft Condensed Matter · Physics 2015-05-28 Igor Erukhimovich , Panagiotis E. Theodorakis , Wolfgang Paul , Kurt Binder

We theoretically investigate the coexistences of lamellar phases both in binary and ternary surfactant solutions. The previous free energy of a lamellar stack is extended to take into account the translational entropy of membrane segments.…

Soft Condensed Matter · Physics 2017-07-20 Isamu Sou , Ryuichi Okamoto , Shigeyuki Komura , Jean Wolff

An extension of the Consistent-Q formalism for the Interacting Boson Model that includes the cubic QxQxQ term is proposed. The potential energy surface for the cubic quadrupole interaction is explicitly calculated within the coherent state…

We study the phase behavior of mixtures of monodisperse colloidal spheres with a depletion agent which can have arbitrary shape and can possess a polydisperse size or shape distribution. In the low concentration limit, considered here, we…

Soft Condensed Matter · Physics 2009-11-11 C. Grodon , R. Roth