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Monte Carlo simulations using an explicit solvent model indicate a new pathway for translocation of a polymer chain through a lipid bilayer. We consider a polymer chain composed of repeat units with a given hydrophobicity and a…

Soft Condensed Matter · Physics 2012-05-22 Jens-Uwe Sommer , Marco Werner , Vladimir A. Baulin

The conformational behavior of a coarse-grained finite polymer chain near an attractive spherical surface was investigated by means of multicanonical Monte Carlo computer simulations. In a detailed analysis of canonical equilibrium data…

Soft Condensed Matter · Physics 2018-01-03 Handan Arkin , Wolfhard Janke

The density crossover scaling of various thermodynamic properties of solutions and melts of self-avoiding and highly flexible polymer chains without chain intersections confined to strictly two dimensions is investigated by means of…

Soft Condensed Matter · Physics 2012-09-03 N. Schulmann , H. Meyer , P. Polińska , J. Baschnagel , J. P. Wittmer

Wang-Landau sampling has been applied to investigate the thermodynamics and structural properties of a lattice hydrophobic-polar heteropolymer (the HP protein model) interacting with an attractive substrate. For simplicity, we consider a…

Soft Condensed Matter · Physics 2013-01-16 Ying Wai Li , Thomas Wüst , David P. Landau

This is a pedagogical review of the subject of linear polymers on deterministic finitely ramified fractals. For these, one can determine the critical properties exactly by real-space renormalization group technique. We show how this is used…

Statistical Mechanics · Physics 2009-09-29 Deepak Dhar , Yashwant Singh

We present a Bethe approximation to study lattice models of linear polymers. The approach is variational in nature and based on the cluster variation method (CVM). We focus on a model with $(i)$ a nearest neighbor attractive energy…

Statistical Mechanics · Physics 2009-10-31 Stefano Lise , Amos Maritan , Alessandro Pelizzola

We study the interaction problem of a linear polymer chain, floating in fractal containers that belong to the three-dimensional Sierpinski gasket (3D SG) family of fractals, with a surface-adsorbed linear polymer chain. Each member of the…

Statistical Mechanics · Physics 2009-11-11 Ivan Zivic

In this article we study a one dimensional model for a polymer in a poor solvent: the random walk on $\mathbb{Z}$ penalized by its range. More precisely, we consider a Gibbs transformation of the law of the simple symmmetric random walk by…

Probability · Mathematics 2022-07-21 Nicolas Bouchot

Based on our previous paper [cond-mat/0507477], we establish a general model for the whip-toroid transitions of a semiflexible homopolymer chain using the path integral method and the O(3) nonlinear sigma model on a line segment with the…

Soft Condensed Matter · Physics 2007-05-23 Yukitaka Ishimoto , Norio Kikuchi

Applying the contact density chain-growth algorithm to lattice heteropolymers, we identify the conformational transitions of a nongrafted hydrophobic-polar heteropolymer with 103 residues in the vicinity of a polar, a hydrophobic, and a…

Soft Condensed Matter · Physics 2009-11-13 Michael Bachmann , Wolfhard Janke

We study the adsorption of polymer chains on a fluctuating surface. Physical examples are provided by polymer adsorption at the rough interface between two non-miscible liquids, or on a membrane. In a mean-field approach, we find that the…

Condensed Matter · Physics 2009-10-22 T. Garel , Mehran Kardar , H. Orland

We investigate self-avoiding walk models of linear block copolymers adsorbed at a surface and desorbed by the action of a force. We rigorously establish the dependence of the free energy on the adsorption and force parameters, and the form…

Statistical Mechanics · Physics 2020-12-30 EJ Janse van Rensburg , CE Soteros , SG Whittington

Using Molecular Dynamics simulations, we study the force-induced detachment of a coarse-grained model polymer chain from an adhesive substrate. One of the chain ends is thereby pulled at constant speed off the attractive substrate and the…

Soft Condensed Matter · Physics 2015-06-22 J. Paturej , A. Erbas , A. Milchev , V. G. Rostiashvili

The transport of deformable particles through porous media underlies a wealth of applications ranging from filtration to oil recovery to the transport and spreading of biological agents. Using direct numerical simulations, we analyze the…

Soft Condensed Matter · Physics 2020-06-09 Brato Chakrabarti , Charles Gaillard , David Saintillan

We solve a model of self-avoiding walks which allows for a site to be visited up to two times by the walk on the Husimi lattice. This model is inspired in the Domb-Joyce model and was proposed to describe the collapse transition of polymers…

Statistical Mechanics · Physics 2009-11-13 T. J. Oliveira , J. F. Stilck , P. Serra

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

We have performed chain-growth simulations of minimalistic hybrid lattice models for polymers interacting with interfaces of attractive solid substrates in order to gain insights into the conformational transitions of the polymers in the…

Soft Condensed Matter · Physics 2011-07-04 Michael Bachmann , Wolfhard Janke

We study a model of a semiflexible long chain polymer confined to a two-dimensional slit of width $w$, and interacting with the walls of the slit. The interactions with the walls are controlled by Boltzmann weights $a$ and $b$, and the…

Statistical Mechanics · Physics 2019-12-03 Nicholas R. Beaton , Leo Li , Jonathon Liu , Thomas Wong

Using extensive Monte Carlo simulations, we investigate the surface adsorption of self-avoiding trails on the triangular lattice with two- and three-body on-site monomer-monomer interactions. In the parameter space of two-body, three-body,…

Statistical Mechanics · Physics 2020-01-01 Nathann T. Rodrigues , Tiago J. Oliveira , Thomas Prellberg , Aleksander L. Owczarek

We consider a simple cubic lattice self-avoiding walk model of 3-star polymers adsorbed at a surface and then desorbed by pulling with an externally applied force. We determine rigorously the free energy of the model in terms of properties…

Statistical Mechanics · Physics 2018-05-09 EJ Janse van Rensburg , S G Whittington
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