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We present a numerical study of forced polymer translocation by using two separate pore models. Both of them have been extensively used in previous forced translocation studies. We show that variations in the pore model affect the forced…

Biological Physics · Physics 2015-05-19 V. V. Lehtola , K. Kaski , R. P. Linna

After a general introduction to the field, we describe some recent results concerning disorder effects on both `random walk models', where the random walk is a dynamical process generated by local transition rules, and on `polymer models',…

Disordered Systems and Neural Networks · Physics 2007-05-23 Cecile Monthus

We study a model of two polymers confined to a slit with sticky walls. More precisely, we find and analyse the exact solution of two directed friendly walks in such a geometry on the square lattice. We compare the infinite slit limit, in…

Statistical Mechanics · Physics 2015-06-19 Thomas Wong , Aleksander L. Owczarek , Andrew Rechnitzer

The properties of diluted symmetric A-B diblock copolymers at the interface between A and B homopolymer phases are studied by means of Monte Carlo (MC) simulations of the bond fluctuation model. We calculate segment density profiles as well…

Chemical Physics · Physics 2015-06-26 A. Werner , F. Schmid , K. Binder , M. Mueller

In this work we have analyzed the adsorption-desorption kinetics in the framework of the lattice gas model. We have shown that the coefficients representing the transition probabilities must be carefully chosen even when they fulfill the…

Statistical Mechanics · Physics 2008-06-02 S. Manzi , R. E. Belardinelli , G. Costanza , V. D. Pereyra

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

We report molecular dynamics simulations of a system of repulsive, polymer-tethered colloidal particles. We use an explicit polymer model to explore how the length and the behavior of the polymer (ideal or self-avoiding) affect the ability…

Soft Condensed Matter · Physics 2015-05-14 Behnaz Bozorgui , Maya Sen , William L. Miller , Josep C. Pamies , Angelo Cacciuto

In this paper we present a new and flexible method to show that, in one dimension, various self-repellent random walks converge to self-repellent Brownian motion in the limit of weak interaction after appropriate space-time scaling. Our…

Probability · Mathematics 2007-05-23 R. van der Hofstad , F. den Hollander , W. Koenig

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

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

Whereas entropy can induce phase behavior that is as rich as seen in energetic systems, microphase separation remains a very rare phenomenon in entropic systems. In this paper, we present a density functional approach to study the…

Soft Condensed Matter · Physics 2009-11-10 Paul P. F. Wessels , Bela M. Mulder

The behavior of a polyelectrolyte adsorbed on a charged surface of high-dielectric constant is studied by both Monte-Carlo simulation and analytical methods. It is found that in a low ionic strength medium, the transition is first-order…

Soft Condensed Matter · Physics 2007-05-23 Chi-Ho Cheng , Pik-Yin Lai

Structure and dynamics of an active polymer on a smooth cylindrical surface are studied by Brownian dynamics simulations. The effect of active force on the polymer adsorption behavior and the combined effect of chain mobility, length N,…

Soft Condensed Matter · Physics 2024-08-21 Chen Shen , Chao-ran Qin , Tian-liang Xu , Kang Chen , Wen-de Tian

We study the scaling properties of polymers in a d-dimensional medium with quenched defects that have power law correlations ~r^{-a} for large separations r. This type of disorder is known to be relevant for magnetic phase transitions. We…

Soft Condensed Matter · Physics 2009-11-07 Victoria Blavats'ka , Christian von Ferber , Yurij Holovatch

We study the dynamics of a tracer particle, which performs a totally directed random walk in an adsorbed monolayer composed of mobile hard-core particles undergoing continuous exchanges with a vapour phase. In terms of a mean-field-type…

Statistical Mechanics · Physics 2009-10-31 O. Benichou , A. M. Cazabat , M. Moreau , G. Oshanin

Recent experimental results suggest that the E. coli chromosome feels a self-attracting interaction of osmotic origin, and is condensed in foci by bridging interactions. Motivated by these findings, we explore a generic modeling framework…

Soft Condensed Matter · Physics 2014-12-09 Vittore F. Scolari , Marco Cosentino Lagomarsino

We provide an introductory account of a tricritical phase diagram, in the setting of a mean-field random walk model of a polymer density transition, and clarify the nature of the density transition in this context. We consider a…

Mathematical Physics · Physics 2020-11-25 Roland Bauerschmidt , Gordon Slade

In this work we investigated the phase behavior of melts of block-copolymers with one charged block by means of dissipative particle dynamics with explicit electrostatic interactions. We assumed that all the Flory-Huggins \c{hi} parameters…

Soft Condensed Matter · Physics 2019-06-12 Alexey A. Gavrilov , Alexander V. Chertovich , Igor I. Potemkin

We report that a dielectric polymer chain, constrained at both ends, sharply collapses when exposed to a high electric field. The chain collapse is driven by nonlocal dipolar interactions and anisotropic polarization of monomers, a…

Soft Condensed Matter · Physics 2025-09-03 Pratik Khandagale , Gal deBotton , Timothy Breitzman , Carmel Majidi , Kaushik Dayal

We analyze the recently proposed "pattern-matching" phase of a Gaussian random heteropolymer adsorbed on a disordered substrate [S. Srebnik, A.K. Chakraborty and E.I. Shakhnovich, Phys. Rev. Lett. 77, 3157 (1996)]. By mapping the problem to…

Statistical Mechanics · Physics 2009-10-30 T. Hwa , D. Cule