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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

Kinetic equations model distributions of particles in position-velocity phase space. Often, one is interested in studying the long-time behavior of particles in high-collisional regimes in which an approximate (advection)-diffusion model…

Numerical Analysis · Mathematics 2021-07-09 Emil Løvbak , Giovanni Samaey , Stefan Vandewalle

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

We investigate the localization of a hydrophobic - polar (HP) - regular copolymer at a selective solvent-solvent interface with emphasis on the impact of block length $M$ on the copolymer behavior. The considerations are based on simple…

Soft Condensed Matter · Physics 2007-05-23 Andrea Corsi , Andrey Milchev , Vakhtang G. Rostiashvili , Thomas A. Vilgis

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

As the size of engineered systems grows, problems in reliability theory can become computationally challenging, often due to the combinatorial growth in the cut sets. In this paper we demonstrate how Multilevel Monte Carlo (MLMC) - a…

Computation · Statistics 2017-03-14 Louis J. M. Aslett , Tigran Nagapetyan , Sebastian J. Vollmer

We consider the thermodynamics of a uniformly charged polyelectrolyte with harmonic bonds. For such a system there is at high temperatures an approximate scaling of global properties like the end-to-end distance and the interaction energy…

chem-ph · Physics 2016-08-15 Carsten Peterson , Ola Sommelius , Bo Söderberg

The structural phase behavior of polymer brushes, single-component linear homopolymers grafted onto a planar substrate, is studied using the molecular Monte Carlo method in 3 dimensions. When simulation parameters of the system are set in…

Soft Condensed Matter · Physics 2013-01-18 Y. Norizoe , H. Jinnai , A. Takahara

We examine the phase transition of polymer adsorption as well as the underlying kinetics of polymer binding from dilute solutions on a structureless solid surface. The emphasis is put on the properties of regular multiblock copolymers,…

Soft Condensed Matter · Physics 2009-09-03 A. Milchev , V. Rostiashvili , S. Bhattacharya , T. Vilgis

Isoporous membranes made from diblock copolymers have numerous applications, including water treatment and protein separation, and are successfully produced at a laboratory scale under controlled conditions. However, achieving optimal…

Soft Condensed Matter · Physics 2023-04-11 Nicolas Moreno , Suzana Nunes , Victor Calo

Starting from a microscopic lattice model, we investigate clustering, micellization and micelle ordering in semi-dilute solutions of AB diblock copolymers in a selective solvent. To bridge the gap in length scales, from monomers to ordered…

Soft Condensed Matter · Physics 2009-11-11 Carlo Pierleoni , Chris Addison , Jean-Pierre Hansen , Vincent Krakoviack

Large-scale Monte Carlo simulations of a phase-separating colloid-polymer mixture are performed and compared to recent experiments. The approach is based on effective interaction potentials in which the central monomers of self-avoiding…

Soft Condensed Matter · Physics 2007-05-23 R. L. C. Vink , A. Jusufi , J. Dzubiella , C. N. Likos

Phase separation in charged systems may involve the replacement of critical points by microphase separated states, or charge-density-wave states. A density functional theory for highly charged colloids at low ionic strength is developed to…

Soft Condensed Matter · Physics 2007-05-23 Patrick B. Warren

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

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 report the application of the Monte Carlo simulation to phase separation dynamics. First, we deal with the phase separation under shear flow. The thermal effect on the phase separation is discussed, and the anisotropic growth exponents…

Statistical Mechanics · Physics 2015-06-25 Yutaka Okabe , Tsukasa Miyajima , Toshiro Ito , Toshihiro Kawakatsu

The interplay of nematic order and phase separation in solutions of semiflexible polymers in solvents of variable quality is investigated by density functional theory (DFT) and molecular dynamics (MD) simulations. We studied coarse-grained…

Soft Condensed Matter · Physics 2019-09-04 Jiarul Midya , Sergei A. Egorov , Kurt Binder , Arash Nikoubashman

We report a Monte Carlo simulation study of the properties of highly asymmetric binary hard sphere mixtures. This system is treated within an effective fluid approximation in which the large particles interact through a depletion potential…

Statistical Mechanics · Physics 2009-11-11 Julio Largo , Nigel B. Wilding

Multiblock copolymer chains in implicit nonselective solvents are studied by Monte Carlo method which employs a parallel tempering algorithm. Chains consisting of 120 $A$ and 120 $B$ monomers, arranged in three distinct microarchitectures:…

Soft Condensed Matter · Physics 2014-10-20 Krzysztof Lewandowski , Michal Banaszak

The equilibrium phase behaviour of hard spheres with size polydispersity is studied theoretically. We solve numerically the exact phase equilibrium equations that result from accurate free energy expressions for the fluid and solid phases,…

Soft Condensed Matter · Physics 2007-05-23 M. Fasolo , P. Sollich