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Related papers: Depinning of a polymer in a multi-interface medium

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We study theoretically the interplay between the surface confined wave modes and the linear and nonlinear gain of the dielectric layer in the Otto configuration. The surface confined wave modes such as surface plasmons or waveguide modes…

Optics · Physics 2018-02-14 Sangbum Kim , Kihong Kim

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 consider the passage of long polymers of length N through a hole in a membrane. If the process is slow, it is in principle possible to focus on the dynamics of the number of monomers s on one side of the membrane, assuming that the two…

Soft Condensed Matter · Physics 2009-11-10 Yacov Kantor , Mehran Kardar

We study long polymer chains in a poor solvent, confined to the space between two parallel hard walls. The walls are energetically neutral and pose only a geometric constraint which changes the properties of the coil-globule (or…

Soft Condensed Matter · Physics 2009-11-10 Hsiao-Ping Hsu , Peter Grassberger

In this paper we investigate the problem of a long self-avoiding polymer chain immersed in a random medium. We find that in the limit of a very long chain and when the self-avoiding interaction is weak, the conformation of the chain…

Disordered Systems and Neural Networks · Physics 2009-11-07 Yadin Y. Goldschmidt , Yohannes Shiferaw

We propose a simple, exactly solvable, model of interface growth in a random medium that is a variant of the zero-temperature random-field Ising model on the Cayley tree. This model is shown to have a phase diagram (critical depinning field…

Statistical Mechanics · Physics 2015-06-16 Hiroki Ohta , Martin-Luc Rosinberg , Gilles Tarjus

Ballistic deposition is a classical model for interface growth in which unit blocks fall down vertically at random on the different sites of $\mathbb{Z}$ and stick to the interface at the first point of contact, causing it to grow. We…

Probability · Mathematics 2022-03-14 Francis Comets , Joseba Dalmau , Santiago Saglietti

We consider forces acting on objects immersed in, or attached to, long fluctuating polymers. The confinement of the polymer by the obstacles results in polymer-mediated forces that can be repulsive (due to loss of entropy) or attractive (if…

Statistical Mechanics · Physics 2017-08-28 Yacov Kantor , Mehran Kardar

We consider polymers in which M randomly selected pairs of monomers are restricted to be in contact. Analytical arguments and numerical simulations show that an ideal (Gaussian) chain of N monomers remains expanded as long as M<<N; its mean…

Condensed Matter · Physics 2009-10-28 Yacov Kantor , Mehran Kardar

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

We consider a directed random walk model of a random heterogeneous polymer in the proximity of an interface separating two selective solvents. This model exhibits a localization/delocalization transition. A positive value of the free energy…

Probability · Mathematics 2007-05-23 Giambattista Giacomin , Fabio Lucio Toninelli

We study the unfolding of a single polymer chain due to an external force. We use a simplified model which allows to perform all calculations in closed form without assuming a Boltzmann-Gibbs form for the equilibrium distribution.…

Statistical Mechanics · Physics 2009-11-13 Erik Van der Straeten , Jan Naudts

When two surfaces are brought into contact and slide against each other, junctions are formed at the interface. The dynamics of formation, rupture and evolution of these junctions governs the tribological response of the macro-contact.…

Soft Condensed Matter · Physics 2022-05-26 Vipul Vijigiri , Cedric Courbon , Guillaume Kermouche , Juliette Cayer-Barrioz

A polymer repelled by unfavorable interactions with a uniform flat surface may still be pinned to attractive edges and corners. This is demonstrated by considering adsorption of a two-dimensional ideal polymer to an attractive corner of a…

Statistical Mechanics · Physics 2017-12-27 Raz Halifa Levi , Yacov Kantor , Mehran Kardar

The irreversible growth of a binary mixture under far-from-equilibrium conditions is studied in three-dimensional confined geometries of size $L_x \times L_y \times L_z$, where $L_z \gg L_x = L_y$ is the growing direction. A competing…

Statistical Mechanics · Physics 2009-11-11 Julián Candia , Ezequiel V. Albano

We employ a three-dimensional molecular dynamics to simulate translocation of a polymer through a nanopore driven by an external force. The translocation is investigated for different three pore diameter and two different external forces.…

Computational Physics · Physics 2019-12-03 Mohammadreza Niknam Hamidabad , Rouhollah Haji Abdolvahab

The properties of the interface in a phase-separated solution of polymers with different degrees of polymerization and Kuhn segment lengths are calculated. The starting point is the planar interface, the profile of which is calculated in…

Soft Condensed Matter · Physics 2015-06-15 R. H. Tromp , E. M. Blokhuis

We expand the blob theory for freely-jointed chains and perform molecular dynamics simulations to study the behavior of polymers confined in cylindrical channels. From weak to strong confinement, five scaling regimes, de Gennes, extended de…

Soft Condensed Matter · Physics 2018-06-18 Yu-Lin Lee , Pai-Yi Hsiao

We study a generalized interacting self-avoiding walk (ISAW) model with nearest- and next nearest-neighbor (NN and NNN) interactions on the square and cubic lattices. In both dimensions, the phase diagrams show coil and globule phases…

Soft Condensed Matter · Physics 2014-09-24 Nathann T. Rodrigues , Tiago J. Oliveira

We present simulation data for the motion of a polymer chain through a regular lattice of impenetrable obstacles (Evans-Edwards model). Chain lengths range from N=20 to N=640, and time up to $10^{7}$ Monte Carlo steps. For $N \geq 160$ we…

Soft Condensed Matter · Physics 2016-08-17 A. Baumgärtner , U. Ebert , L. Schäfer