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We report extensive simulations of the relaxation dynamics of a self-avoiding polymer confined inside a cylindrical pore. In particular, we concentrate on examining how confinement influences the scaling behavior of the global relaxation…

Soft Condensed Matter · Physics 2009-11-13 A. Arnold , B. Bozorgui , D. Frenkel , B. -Y. Ha , S. Jun

We consider various two-dimensional lattices such as square, Kagome, Lieb, honeycomb, dice lattices of finite extent, to study the effect of lattice profile in terms of the number of nearest neighbour and connectivity patterns on the…

Statistical Mechanics · Physics 2026-05-07 Nimish Sharma , Tanay Nag

The minimal energy variations of a directed polymer with tilted columnar disorder in two dimensions are shown numerically to obey a multiscaling at short distances which crosses over to global simple scaling at large distances. The scenario…

Statistical Mechanics · Physics 2009-11-07 Roya Mohayaee , Attilio L. Stella , Carlo Vanderzande

We study various self-avoiding walks (SAWs) which are constrained to lie in the upper half-plane and are subjected to a compressive force. This force is applied to the vertex or vertices of the walk located at the maximum distance above the…

Mathematical Physics · Physics 2021-12-20 Nicholas R. Beaton , Anthony J. Guttmann , Iwan Jensen , Gregory F. Lawler

Active polymers are driven out of equilibrium by internal forces and exhibit conformational properties that differ fundamentally from those of passive chains. Here we study how spatially modulated tangential activity reshapes the…

Soft Condensed Matter · Physics 2025-12-17 Paolo Malgaretti , Emanuele Locatelli

Directed paths have been used extensively in the scientific literature as a model of a linear polymer. Such paths models in particular the conformational entropy of a linear polymer and the effects it has on the free energy. These directed…

Soft Condensed Matter · Physics 2015-05-13 E J Janse van Rensburg , T Prellberg , A Rechnitzer

The self-avoid random walk algorithm has been extensively used in the study of polymers. In this work we study the basic properties of the trajectories generated with this algorithm when two interactions are added to it: contact and folding…

Soft Condensed Matter · Physics 2023-04-14 R. J. Santos Neto , A. A. Costa , P. F. Gomes

Half-space directed polymers in random environments are models of interface growth in the presence of an attractive hard wall. They arise naturally in the study of wetting and entropic repulsion phenomena. In 1985, Kardar predicted a…

Probability · Mathematics 2024-10-22 Victor Ginsburg

Single partially confined collapsed polymers are studied in two dimensions. They are described by self-avoiding random walks with nearest-neighbour attractions below the $\Theta$-point, on the surface of an infinitely long cylinder. For the…

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

We performed a series of simulations for a linear polymer chain in a solvent using dissipative particle dynamics to check the scaling relations for the end-to-end distance, radius of gyration and hydrodynamic radius in three dimensions. The…

Soft Condensed Matter · Physics 2009-04-03 J. M. Ilnytskyi , Yu. Holovatch

Interfacial properties of colloid--polymer mixtures are examined within an effective one--component representation, where the polymer degrees of freedom are traced out, leaving a fluid of colloidal particles interacting via polymer--induced…

Soft Condensed Matter · Physics 2007-05-23 A. Moncho-Jorda' , J. Dzubiella , J. P. Hansen , A. A. Louis

The non-equilibrium structural and dynamical properties of a flexible polymer tethered to a reflecting wall and subject to oscillatory linear flow are studied by numerical simulations. Polymer is confined in two dimensions and is modeled as…

Soft Condensed Matter · Physics 2024-07-30 A. Lamura

We study the entropic force due to a fluctuating semiflexible polymer that is grafted from one end and confined by a rigid and rough wall from the other end. We show how roughness of the wall modifies the entropic force. In addition to the…

Soft Condensed Matter · Physics 2021-11-17 Parvin Bayati , Leila Ghassab , Ali Najafi

We calculate the correction-to-scaling exponent $\omega_T$ that characterizes the approach to the scaling limit in multicomponent polymer solutions. A direct Monte Carlo determination of $\omega_T$ in a system of interacting self-avoiding…

Soft Condensed Matter · Physics 2009-11-11 Andrea Pelissetto , Ettore Vicari

We introduce a new disorder regime for directed polymers with one space and one time dimension that is accessed by scaling the inverse temperature parameter \beta with the length of the polymer n. We scale \beta_n := \beta n^{-\alpha} for…

Statistical Mechanics · Physics 2013-05-29 Tom Alberts , Kostya Khanin , Jeremy Quastel

Motivated by renewed interest in the physics of branched polymers, we present here a complete characterization of the connectivity and spatial properties of $2$ and $3$-dimensional single-chain conformations of randomly branching polymers…

Soft Condensed Matter · Physics 2020-03-23 Irene Adroher-Benítez , Angelo Rosa

We consider a nano-patterned planar wall consisting of a periodic array of stripes of width $L$, which are completely wet by liquid (contact angle $\theta=0$), separated by regions of width $D$ which are completely dry (contact angle…

Statistical Mechanics · Physics 2019-10-02 Martin Pospisil , Martin Láska , Andrew O. Parry , Alexandr Malijevský

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

Linear polymers adsorbing on a wall can be modelled by half-space self-avoiding walks adsorbing on a line in the square lattice, or on a surface in the cubic lattice. In this paper a numerical approach based on the GAS algorithm is used to…

Statistical Mechanics · Physics 2016-04-20 Esaias J. Janse van Rensburg

We compare Monte Carlo simulations of knotted and unknotted polymers whose ends are connected to two parallel walls. The force $f$ exerted on the polymer is measured as a function of the separation $R$ between the walls. For unknotted…

Statistical Mechanics · Physics 2009-11-07 Oded Farago , Yacov Kantor , Mehran Kardar