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We study, using noise reduction techniques, layer by layer epitaxial growth in limited mobility solid-on-solid nonequilibrium surface growth models, which have been introduced in the context of kinetic surface roughening in ideal molecular…

Statistical Mechanics · Physics 2007-05-23 P. Punyindu Chatraphorn , S. Das Sarma

We study the surface growth generated by the random deposition of particles of different sizes. A model is proposed where the particles are aggregated on an initially flat surface, giving rise to a rough interface and a porous bulk. By…

Statistical Mechanics · Physics 2010-03-19 F. L. Forgerini , W. Figueiredo

In order to characterize the geometrical mesh size $\xi$, we simulate a solution of coarse-grained polymers with densities ranging from the dilute to the concentrated regime and for different chain lengths. Conventional ways to estimate…

Soft Condensed Matter · Physics 2020-04-20 Valerio Sorichetti , Virginie Hugouvieux , Walter Kob

Height functions of growing random surfaces are often conjectured to be superconcentrated, meaning that their variances grow sublinearly in time. This article introduces a new concept, called subroughness, meaning that there exist two…

Probability · Mathematics 2022-05-10 Sourav Chatterjee

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

The properties of semidilute polymer solutions are investigated at equilibrium and under shear flow by mesoscale simulations, which combine molecular dynamics simulations and the multiparticle collision dynamics approach. In semidilute…

Soft Condensed Matter · Physics 2015-03-19 Chien-Cheng Huang , Roland G. Winkler , Godehard Sutmann , Gerhard Gompper

I present a first-principles theory of diffusion-limited aggregation in two dimensions. A renormalized mean-field approximation gives the form of the unstable manifold for branch competition, following the method of Halsey and Leibig [Phys.…

Condensed Matter · Physics 2009-10-22 Thomas C. Halsey

We use Langevin dynamics (LD) simulations to investigate single-file diffusion (SFD) in a dilute solution of flexible linear polymers inside a narrow tube with periodic boundary conditions (a torus). The transition from SFD, where the time…

Soft Condensed Matter · Physics 2025-05-20 Hanyang Wang , Gary W. Slater

We perform equilibrium computer simulations of a two-dimensional pinned flexible polymer exposed to a quenched disorder potential consisting of hard disks. We are especially interested in the high-density regime of the disorder, where…

Soft Condensed Matter · Physics 2012-05-21 Sebastian Schöbl , Johannes Zierenberg , Wolfhard Janke

In this paper, a two-dimensional model for the growth of multi-layer tumors is presented. The model consists of a free boundary problem for the tumor cell membrane and the tumor is supposed to grow or shrink due to cell proliferation or…

Analysis of PDEs · Mathematics 2013-06-11 Martin Kohlmann

Non equilibrium coarse grained, dissipative particle dynamics simulations of complex fluids, made up of polymer brushes tethered to planar surfaces immersed in a solvent yield non monotonic behavior of the friction coefficient as a function…

Soft Condensed Matter · Physics 2017-02-01 E. Mayoral , J. Klapp , A. Gama Goicochea

A scaling theory is developed for diffusion-limited cluster aggregation in a porous medium, where the primary particles and clusters stick irreversibly to the walls of the pore space as well as to each other. Three scaling regimes are…

Soft Condensed Matter · Physics 2009-11-13 Patrick B. Warren

The homoepitaxial growth of initially flat surfaces has so far always led to surfaces which become rougher and rougher as the number of layers increases: even in systems exhibiting ``layer by layer'' growth the registry of the layers is…

Materials Science · Physics 2009-10-30 Joachim Jacobsen , James P. Sethna

The surface tension, the adsorption, and the depletion thickness of polymers close to a single nonadsorbing colloidal sphere are computed by means of Monte Carlo simulations. We consider polymers under good-solvent conditions and in the…

Soft Condensed Matter · Physics 2014-05-06 Giuseppe D'Adamo , Andrea Pelissetto , Carlo Pierleoni

Polymer brushes are increasingly used to tailor surface physicochemistry for various applications such as wetting, adhesion of biological objects, implantable devices, etc. We perform Dissipative Particle Dynamics simulations to study the…

Soft Condensed Matter · Physics 2015-10-01 Sofia Biagi , Lorenzo Rovigatti , Francesco Sciortino , Chaouqi Misbah

Self-consistent field approach is used to model a single end-tethered polymer chain on a substrate subject to various forces in three dimensions. Starting from a continuous Gaussian chain model, the following perturbations are considered:…

The sessile microbial communities known as biofilms exhibit varying architectures as environmental factors are varied, which for immersed biofilms includes the shear rate of the surrounding flow. Here we modify an established agent-based…

Biological Physics · Physics 2014-03-11 D. A. Head

In physics, density $\rho(\cdot)$ is a fundamentally important scalar function to model, since it describes a scalar field or a probability density function that governs a physical process. Modeling $\rho(\cdot)$ typically scales poorly…

Computational Physics · Physics 2023-12-14 Maxwell X. Cai , Kin Long Kelvin Lee

We study the dynamics of an exactly solvable lattice model for inhomogeneous interface growth. The interface grows deterministically with constant velocity except along a defect line where the growth process is random. We obtain exact…

Condensed Matter · Physics 2009-10-28 Gunter M. Schütz

From biological tissues to layers of paint, macroscopic non-porous materials with the capacity to swell when brought in contact with an appropriate solvent are ubiquitous. Here, we study experimentally and theoretically one of the…

Soft Condensed Matter · Physics 2022-04-18 Merlin A. Etzold , George T. Fortune , Julien R. Landel , Stuart B. Dalziel