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The system of polymers in solvent mixtures is a widely-used model to represent biomolecular condensates in intracellular environments. Here, we apply a variational theory to control the center-of-mass of two polymers and perform the first…

Soft Condensed Matter · Physics 2025-02-28 Luofu Liu , Rui Wang

Nonequilibrium molecular dynamics simulations are used to study the shear thinning behavior of immiscible symmetric polymer blends. The phase separated polymers are subjected to a simple shear flow imposed by moving a wall parallel to the…

Soft Condensed Matter · Physics 2009-11-07 Sandra Barsky , Mark O. Robbins

Using a hydrodynamic lattice-gas model, we study interface growth in a binary fluid with various concentrations of surfactant. We find that the interface is smoothed by small concentrations of surfactant, while microemulsion droplets form…

Condensed Matter · Physics 2009-10-28 Francis W. Starr , Stephen T. Harrington , Bruce M. Boghosian , H. Eugene Stanley

A set of one dimensional interfaces involving attachment and detachment of $k$-particle neighbors is studied numerically using both large scale simulations and finite size scaling analysis. A labeling algorithm introduced by Barma and Dhar…

Statistical Mechanics · Physics 2007-05-23 M. D. Grynberg

By analytically solving some simple models of phase-ordering kinetics, we suggest a mechanism for the onset of non-equilibrium behaviour in colloid-polymer mixtures. These mixtures can function as models of atomic systems; their physics…

Soft Condensed Matter · Physics 2016-08-31 R. M. L. Evans , W. C. K. Poon

We discuss the steady state dynamics of interfaces with periodic boundary conditions arising from body-centered solid-on-solid growth models in $1+1$ dimensions involving random aggregation of extended particles (dimers,…

Statistical Mechanics · Physics 2018-02-20 M. D. Grynberg , F. I. Schaposnik Massolo

The interfacial behavior of active Brownian polymer (ABPO) is studied by Langevin dynamics simulations. On the dependence of adsorption strength and activity characterized by Peclet number (Pe), the polymer displays two typical states on…

Soft Condensed Matter · Physics 2024-08-27 Guo-qiang Feng , Wen-de Tian

We analyze intermittence and roughening of an elastic interface or domain wall pinned in a periodic potential, in the presence of random-bond disorder in (1+1) and (2+1) dimensions. Though the ensemble average behavior is smooth, the…

Statistical Mechanics · Physics 2009-10-31 E. T. Seppälä , M. J. Alava , P. M. Duxbury

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

The coupled dynamics of entangled polymers which span a broad time and length scales govern the unique viscoelastic properties of polymers. To follow chain mobility by numerical simulations from the intermediate Rouse and reptation regimes…

Soft Condensed Matter · Physics 2016-11-03 Gary S. Grest

We consider a discrete-time model for random interface growth which admits exact formulas and converges to the Polynuclear growth model in a particular limit. The height of the interface is initially flat and the evolution involves the…

Probability · Mathematics 2023-08-28 Will FitzGerald

Using a solvable model, the two-dimensional two-component plasma, we study a Coulomb gas confined in a disk and in an annulus with boundaries that can adsorb some of the negative particles of the system. We obtain explicit analytic…

Statistical Mechanics · Physics 2007-05-23 Lina Merchan , Gabriel Tellez

An extended theoretical study of interface potentials in adsorbed colloid-polymer mixtures is performed. To describe the colloid-polymer mixture near a hard wall, a simple Cahn-Nakanishi-Fisher free-energy functional is used. The bulk phase…

Soft Condensed Matter · Physics 2015-06-19 Jesper Koning , Yves Vandecan , Joseph Indekeu

Random sequential adsorption (RSA) of polymer, modeled as a chain of identical spheres, is systematically studied. In order to control precisely anisotropy and number of degrees of freedom, two different kinds of polymers are used. In the…

Soft Condensed Matter · Physics 2013-05-14 Michał Cieśla

The relationship between statics and dynamics proposed by Franz, Mezard, Parisi and Peliti (FMPP) for slowly relaxing systems [Phys.Rev.Lett. {\bf 81}, 1758 (1998)] is investigated in the framework of non disordered coarsening systems.…

Statistical Mechanics · Physics 2009-10-31 Federico Corberi , Eugenio Lippiello , Marco Zannetti

We present a method for deriving bulk and edge invariants for interacting, many-body localized Floquet systems in two spatial dimensions. This method is based on a general mathematical object which we call a flow. As an application of our…

Strongly Correlated Electrons · Physics 2022-10-28 Carolyn Zhang , Michael Levin

We study reactions between end-functionalized chains at a polymer-polymer interface. For small chemical reactivities (the typical case) the number of diblocks formed, $R_t$, obeys 2nd order chemically controlled kinetics, $R_t \sim t$,…

Soft Condensed Matter · Physics 2009-10-31 Ben O'Shaughnessy , Dimitrios Vavylonis

We propose a new type of SPDEs, singular or with regularized noises, motivated by a study of the fluctuation of the density field in a microscopic interacting particle system. They include a large scaling parameter $N$, which is the ratio…

Probability · Mathematics 2024-12-03 Tadahisa Funaki

We investigated the effect of surfactants on an interface between two kinds of liquid by molecular dynamics simulation. We adopted the simple bead-spring model with two atoms as the surfactants. We controlled the interfacial tension of the…

Statistical Mechanics · Physics 2024-10-14 Shunta Kikuchi , Hiroshi Watanabe

We study the mechanical contact between a deformable body with a wavy surface and a rigid flat taking into account pressurized fluid trapped in the interface. A finite element model is formulated for a general problem of trapped fluid for…

Fluid Dynamics · Physics 2021-03-23 Andrei G. Shvarts , Vladislav A. Yastrebov