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The phase diagram of a stack of tensionless membranes with nonlinear curvature energy and vertical harmonic interaction is calculated exactly in a large number of dimensions of configuration space. At low temperatures, the system forms a…

Condensed Matter · Physics 2007-05-23 M. E. S. Borelli , H. Kleinert

Using the self-consistent field approach, the effect of asymmetry of the coil block on the microphase separation is focused in ABC coil-rod-coil triblock copolymers. For different fractions of the rod block $f_{\text B}$, some stable…

Disordered Systems and Neural Networks · Physics 2017-12-15 X. -G. Han , H. -H. Meng , Y. -H. Ma , S. -L. Ouyang

Recent studies have shown that topological models with interacting anyonic quasiparticles can be used as self-correcting quantum memories. Here we study the behaviour of these models at thermal equilibrium. It is found that the interactions…

Quantum Physics · Physics 2014-04-17 James R. Wootton

We propose a model describing liquid-solid phase coexistence in mixed lipid membranes by including explicitly the occurrence of a rippled phase. For a single component membrane, we employ a previous model in which the membrane thickness is…

Soft Condensed Matter · Physics 2012-01-31 N. Shimokawa , S. Komura , D. Andelman

We propose a model that accounts for the budding transition of asymmetric two-component lipid domains, where the two monolayers (leaflets) have different average compositions controlled by independent chemical potentials. Assuming a…

Soft Condensed Matter · Physics 2016-09-16 Jean Wolff , Shigeyuki Komura , David Andelman

The configurational and melting properties of large two-dimensional clusters of charged classical particles interacting with each other via the Coulomb potential are investigated through the Monte Carlo simulation technique. The particles…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Minghui Kong , B. Partoens , F. M. Peeters

We present few ordering mechanisms in block copolymer melts in the coarse-graining approach. For chemically homogeneous or modulated confining surfaces, the surface ordering is investigated above and below the order-disorder temperature. In…

Soft Condensed Matter · Physics 2012-01-31 Yoav Tsori , David Andelman

We perform a thermodynamic analysis of the polymerization-induced phase separation in nanoparticle-monomer-polymer blends using a simple model recently proposed by V. V. Ginzburg (Macromolecules 2005, 38, 2362.). The model was adapted for…

Materials Science · Physics 2013-11-22 Ezequiel R. Soule , Julio Borrajo , Roberto J. J. Williams

Polymers with both soluble and insoluble blocks typically self-assemble into micelles, aggregates of a finite number of polymers where the soluble blocks shield the insoluble ones from contact with the solvent. Upon increasing…

Soft Condensed Matter · Physics 2009-11-13 J. A. Anderson , C. D. Lorenz , A. Travesset

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

The equilibrium properties of block copolymer micelles confined in polymer thin films are investigated using self-consistent field theory. The theory is based on a model system consisting of AB diblock copolymers and A homopolymers. Two…

Soft Condensed Matter · Physics 2014-01-16 Jiajia Zhou , An-Chang Shi

We study the conformational properties of heteropolymers containing two types of monomers A and B, modeled as self-avoiding random walks on a regular lattice. Such a model can describe in particular the sequences of hydrophobic and…

Disordered Systems and Neural Networks · Physics 2014-09-01 Viktoria Blavatska , Wolfhard Janke

The self-assembly of monoacyl lipids in solution is studied employing a model in which the lipid's hydrocarbon tail is described within the Rotational Isomeric State framework and is attached to a simple hydrophilic head. Mean-field theory…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , M. Schick

An extensive study of single block copolymer knots containing two kinds of monomers $A$ and $B$ is presented. The knots are in a solution and their monomers are subjected to short range interactions that can be attractive or repulsive. In…

Soft Condensed Matter · Physics 2016-04-08 Franco Ferrari

We present Molecular Dynamics simulations of the thermal glass transition in a dense model polymer liquid. We performed a comparative study of both constant volume and constant pressure cooling of the polymer melt. Great emphasis was laid…

Statistical Mechanics · Physics 2009-10-30 C. Bennemann , W. Paul , K. Binder , B. Duenweg

We study the thermodynamics of binary mixtures with the volume fraction of the minority component less than the amount required to form a flat interface and show that the surface tension dominated equilibrium phase of the mixture forms a…

Soft Condensed Matter · Physics 2023-03-07 Subhadip Biswas , Biswaroop Mukherjee , Buddhapriya Chakrabarti

We consider the model for the distribution of a long homopolymer in a potential field. The typical shape of the polymer depends on the temperature parameter. We show that at a critical value of the temperature the transition occurs from a…

Probability · Mathematics 2009-02-18 M. Cranston , L. Koralov , S. Molchanov , B. Vainberg

The phase behavior of the system of parallel rigid triblock copolymers is examined using the second-virial density functional theory. The triblock particle consists of two identical infinitely thin hard rods of finite lengths on the…

Soft Condensed Matter · Physics 2007-10-15 Szabolcs Varga , Seth Fraden

We investigate the effect of chemically patterned surfaces on the morphology of diblock copolymers below the order-disorder transition. Profiles for lamellar phases in contact with one surface, or confined between two surfaces are obtained…

Soft Condensed Matter · Physics 2009-11-07 Yoav Tsori , David Andelman

The fabrication of versatile building blocks that are reliably self-assemble into desired ordered and disordered phases is amongst the hottest topics in contemporary material science. To this end, microscopic units of varying complexity,…

Soft Condensed Matter · Physics 2016-03-23 Lorenzo Rovigatti , Barbara Capone , Christos N. Likos