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We investigate the phase diagram of disordered copolymers at the interface between two selective solvents, and in particular its weak-coupling behavior, encoded in the slope $m_c$ of the critical line at the origin. In mathematical terms,…

Probability · Mathematics 2008-11-25 T. Bodineau , G. Giacomin , H. Lacoin , F. Toninelli

Semiflexible macromolecules in dilute solution under very good solvent conditions are modeled by self-avoiding walks on the simple cubic lattice ($d=3$ dimensions) and square lattice ($d=2$ dimensions), varying chain stiffness by an energy…

Soft Condensed Matter · Physics 2015-05-30 Hsiao-Ping Hsu , Kurt Binder

By means of lattice-based Monte Carlo simulations, we address properties of two-component lipid membranes on the experimentally relevant spatial scales of order of a micrometer and time intervals of order of a second, using DMPC/DSPC lipid…

Biological Physics · Physics 2018-12-26 Jens Ehrig , Eugene P. Petrov , Petra Schwille

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

The lattice model of Coulomb Glass in two dimensions with box-type random field distribution is studied at zero temperature for system size upto $96^{2}$. To obtain the minimum energy state we annealed the system using Monte Carlo…

Disordered Systems and Neural Networks · Physics 2017-05-29 Preeti Bhandari , Vikas Malik , Syed Rashid Ahmad

Specialized Monte Carlo simulation techniques and moment free energy method calculations, capable of treating fractionation exactly, are deployed to study the crystalline phase behaviour of an assembly of spherical particles described by a…

Statistical Mechanics · Physics 2011-03-25 Peter Sollich , Nigel B. Wilding

We consider two complementary polymer strands of length $L$ attached by a common end monomer. The two strands bind through complementary monomers and at low temperatures form a double stranded conformation (zipping), while at high…

Statistical Mechanics · Physics 2015-03-19 Jean-Charles Walter , Alessandro Ferrantini , Enrico Carlon , Carlo Vanderzande

We study random copolymers consisted of two kinds of monomers with attraction between similar kinds. The mean field analysis of this system indicates a continuous phase transition into a phase with periodic microdomain structure. It is…

Condensed Matter · Physics 2009-10-22 A. M. Gutin , C. D. Sfatos , E. I. Shakhnovich

The formation of (bio)molecular condensates via liquid-liquid phase separation in cells has received increasing attention, as these coacervates play important functional and regulatory roles within biological systems. However, the majority…

Soft Condensed Matter · Physics 2022-11-24 Arash Nikoubashman , Miho Yanagisawa

The tumbling dynamics of individual polymers in semidilute solution is studied by large-scale non-equilibrium mesoscale hydrodynamic simulations. We find that the tumbling time is equal to the non-equilibrium relaxation time of the polymer…

Soft Condensed Matter · Physics 2011-03-21 C. -C. Huang , G. Sutmann , G. Gompper , R. G. Winkler

Phase separation plays a central role in the emergence of novel functionalities of correlated electron materials. The structure of the mixed-phase states depends strongly on the nonequilibrium phase-separation dynamics, which has so far yet…

Strongly Correlated Electrons · Physics 2023-03-21 Sheng Zhang , Puhan Zhang , Gia-Wei Chern

This report deals with phase transition in Bond Fluctuation Model (BFM) of a linear homo polymer on a two dimensional square lattice. Each monomer occupies a unit cell of four lattice sites. The condition that a lattice site can at best be…

Soft Condensed Matter · Physics 2012-04-16 Hima Bindu Kolli , K. P. N. Murthy

We carry out a comprehensive linear stability analysis of active Brownian particle systems around a constant homogeneous state. These scalar models, being important prototypes for the continuous description of active matter, are…

Analysis of PDEs · Mathematics 2025-12-22 Michele Coti Zelati , Lucas Ertzbischoff , David Gerard-Varet

We use an off-lattice microscopic model for solutions of equilibrium polymers (EP) in a lamellar shear flow generated by means of a self-consistent external field between parallel hard walls. The individual conformations of the chains are…

Soft Condensed Matter · Physics 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

We consider the phase separation in an asymmetrically charged lipid bilayer membrane consisting of neutral and negatively charged lipids that are in contact with in/out ionic solutions having different ionic strengths. The two asymmetric…

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

Continuum Monte-Carlo simulations at constant pressure are performed on short chain molecules at surfaces. The rodlike chains, consisting of seven effective monomers, are attached at one end to a flat twodimensional substrate. It is found…

Condensed Matter · Physics 2007-05-23 R. Hilfer , F. M. Haas

The adsorption of a single multi-block $AB$-copolymer on a solid planar substrate is investigated by means of computer simulations and scaling analysis. It is shown that the problem can be mapped onto an effective homopolymer adsorption…

Soft Condensed Matter · Physics 2008-06-27 Swati Bhattacharya , Hsiao-Ping Hsu , Andrey Milchev , Vakhtang G. Rostiashvili , Thomas A. Vilgis

We present an application of Wertheim's Thermodynamic Perturbation Theory (TPT1) to a simple coarse grained model made of flexibly bonded Lennard-Jones monomers. We use both the Reference Hyper-Netted-Chain (RHNC) and Mean Spherical…

Statistical Mechanics · Physics 2016-08-15 L. González MacDowell , M. Mueller , C. Vega , K. Binder

We present results for the kinetics of phase separation in solid binary mixtures ($A_1+A_2$) from Monte Carlo simulations of the Ising model in two dimensions. The simulation results are understood via appropriate application of the…

Statistical Mechanics · Physics 2013-05-14 Suman Majumder , Subir K. Das

We present numerical evidence using Monte Carlo simulations of finite-temperature phase transition in two dimensional Coulomb Glass lattice model with random site energies at half-filling. For the disorder strengths ($W$) studied in this…

Disordered Systems and Neural Networks · Physics 2019-07-31 Preeti Bhandari , Vikas Malik
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