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We construct the complete structural phase diagram of polymer adsorption at substrates with attractive stripe-like patterns in the parameter space spanned by the adsorption affinity of the stripes and temperature. Results were obtained by…

Statistical Mechanics · Physics 2014-04-14 Monika Möddel , Wolfhard Janke , Michael Bachmann

We analyze the conformational dynamics and statistical properties of an active polymer model. The polymer is described as a freely-jointed bead-rod chain subject to stochastic active force dipoles that act on the suspending solvent where…

Soft Condensed Matter · Physics 2022-02-09 Achal Mahajan , David Saintillan

We present a study on the dynamics of a system consisting of a pair of hardcore particles diffusing with different rates. We solved the drift-diffusion equation for this model in the case when one particle, labeled F, drifts and diffuses…

Statistical Mechanics · Physics 2010-12-14 S. L. Narasimhan , A. Baumgaertner

Extensive Langevin dynamics simulations are used to characterize the adsorption transition of a flexible magnetic filament grafted onto an attractive planar surface. Our results identify different structural transitions at different ratios…

Stretched polymers with attractive interaction are studied in two and three dimensions. They are described by biased self-avoiding random walks with nearest neighbour attraction. The bias corresponds to opposite forces applied to the first…

Statistical Mechanics · Physics 2009-11-07 Peter Grassberger , Hsiao-Ping Hsu

Many driven systems alternate between bursts of activity and quiescence and can become trapped in an absorbing state, such as complete inactivity in reaction-diffusion processes or extinction in predator-prey dynamics. It is generally…

Statistical Mechanics · Physics 2026-05-14 Kartik Chhajed , P. K. Mohanty

We consider binary liquid mixtures near their critical consolute points and exposed to geometrically flat but chemically structured substrates. The chemical contrast between the various substrate structures amounts to opposite local…

Soft Condensed Matter · Physics 2009-11-11 Monika Sprenger , Frank Schlesener , S. Dietrich

The nonlinear response of an adsorbed layer on a periodic substrate to an external force is studied via a two dimensional uniaxial Frenkel-Kontorova model. The nonequlibrium properties of the model are simulated by Brownian molecular…

Statistical Mechanics · Physics 2009-10-31 Enzo Granato , S. C. Ying

Although the stretching of polymers and biomolecules is important in numerous settings, their response when confined to two-dimensions is relatively poorly-studied. In this paper, we derive closed-form analytical expressions for the…

Soft Condensed Matter · Physics 2013-05-28 Sara Iliafar , Dmitri Vezenov , Anand Jagota

We investigate the crystallization of a single, flexible homopolymer chain using transition path sampling (TPS). The chain consists of N identical spherical monomers evolved according to Langevin dynamics. While neighboring monomers are…

Soft Condensed Matter · Physics 2016-08-17 Christian Leitold , Christoph Dellago

The folding transition of single, long semiflexible polymers was studied with special emphasis on the chain length effect using Monte Carlo simulations. While a relatively short chain (10-25 Kuhn segments) undergoes a large discrete…

Soft Condensed Matter · Physics 2008-05-06 Yuji Higuchi , Takahiro Sakaue , Kenichi Yoshikawa

We investigate the scaling properties of phase transitions between survival and extinction (active-to-absorbing state phase transition, AAPT) in a model, that by itself belongs to the directed percolation (DP) universality class,…

Statistical Mechanics · Physics 2012-08-22 Niladri Sarkar , Abhik Basu

We investigate the surface adsorption transition of interacting self-avoiding square lattice trails onto a straight boundary line. The character of this adsorption transition depends on the strength of the bulk interaction, which induces a…

Statistical Mechanics · Physics 2019-08-21 N T Rodrigues , T Prellberg , A L Owczarek

Fluids in which the interparticle potential has a hard core, is attractive at moderate separations, and repulsive at greater separations are known to exhibit novel phase behavior, including stable inhomogeneous phases. Here we report a…

Soft Condensed Matter · Physics 2008-09-17 Andrew J. Archer , Nigel B. Wilding

Recently, it has been proposed that the adsorption transition for a single polymer in dilute solution, modeled by lattice walks in three dimensions, is not universal with respect to inter-monomer interactions. It has also been conjectured…

Statistical Mechanics · Physics 2018-02-21 C. J. Bradly , A. L. Owczarek , T. Prellberg

The wrapping equilibria of one and two adsorbing cylinders are studied along a semi-flexible filament (polymer) due to the interplay between elastic rigidity and short-range adhesive energy between the cylinder and the filament. We show…

Soft Condensed Matter · Physics 2015-06-05 David S. Dean , Thomas C. Hammant , Ronald R. Horgan , Ali Naji , Rudolf Podgornik

Chain molecules play important roles in industry and in living cells. Our focus here is on distinct ways of modeling the stiffness inherent in a chain molecule. We consider three types of stiffnesses -- one yielding an energy penalty for…

Soft Condensed Matter · Physics 2019-11-12 Tatjana Skrbic , Jayanth R. Banavar , Achille Giacometti

By quantitative studies of statistics of polymer stretching in a random flow and of a flow field we demonstrate that the stretching of polymer molecules in a 3D random flow occurs rather sharply via the coil-stretch transition at the value…

Chaotic Dynamics · Physics 2009-11-10 S. Gerashchenko , C. Chevallard , V. Steinberg

This paper looks at the early theory of phase transitions. It considers a group of related concepts derived from condensed matter and statistical physics. The key technical ideas here go under the names of "singularity", "order parameter",…

History and Philosophy of Physics · Physics 2009-09-14 Leo P. Kadanoff

We study the adsorption of flexible polymer macromolecules on a percolation cluster, formed by a regular two-dimensional disordered lattice at critical concentration p_c of attractive sites. The percolation cluster is characterized by a…

Disordered Systems and Neural Networks · Physics 2012-03-16 Viktoria Blavatska , Wolfhard Janke