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We consider a model of self-avoiding walk on a lattice with on-site repulsion and an attraction for every vertex of the walk visited on the surface to study force-induced desorption of a linear polymer chain adsorbed on an attractive…

Statistical Mechanics · Physics 2007-05-23 P. K. Mishra , Sanjay Kumar , Yashwant Singh

The number of allowed configurations of a polymer is reduced by the presence of a repulsive surface resulting in an entropic force between them. We develop a method to calculate the entropic force, and detailed pressure distribution, for…

Statistical Mechanics · Physics 2014-02-11 Yosi Hammer , Yacov Kantor

We investigate the chain conformation of ring polymers confined to a cylindrical nanochannel using both theoretical analysis and three dimensional Langevin dynamics simulations. We predict that the longitudinal size of a ring polymer scales…

Soft Condensed Matter · Physics 2012-12-06 Junfang Sheng , Kaifu Luo

We solve a two dimensional model for polymer chain folding in the presence of mechanical pulling force ($f$) exactly using equilibrium statistical mechanics. Using analytically derived expression for the partition function we determine the…

Statistical Mechanics · Physics 2015-06-12 Himadri S Samanta , D. Thirumalai

The universal density-force relation is analyzed and the correspondent universal amplitude ratio $B_{real}$ is obtained using the massive field theory approach in fixed space dimensions d=3 up to one-loop order. The layer monomer density…

Soft Condensed Matter · Physics 2015-05-20 Z. Usatenko

We present a Monte Carlo algorithm that provides efficient and unbiased sampling of polymer melts consisting of two chains of equal length that jointly visit all the sites of a cubic lattice with rod geometry L x L x rL and non-periodic…

Statistical Mechanics · Physics 2010-11-03 Jesper Lykke Jacobsen

A formula is derived for stiffness of a polymer chain in terms of the distribution function of end-to-end vectors. This relationship is applied to calculate the stiffness of Gaussian chains (neutral and carrying electric charges at the…

Statistical Mechanics · Physics 2007-05-23 A. D. Drozdov

A phase diagram for a surface-interacting long flexible polymer chain in a two-dimensional poor solvent where the possibility of collapse exists is determined using exact enumeration method. A model of a self-attracting self avoiding walk…

Statistical Mechanics · Physics 2007-05-23 Yashwant Singh , Debaprasad Giri , Sanjay Kumar

We revisit a model of semiflexible Gaussian chains proposed by Winkler \textit{et al}, solve the dynamics of the discrete description of the model and derive exact algebraic expressions for some of the most relevant dynamical observables,…

Soft Condensed Matter · Physics 2022-11-02 Andres R. Tejedor , Jaime R. Tejedor , Jorge Ramirez

We deduce the qualitative phase diagram of a long flexible neutral polymer chain immersed in a poor solvent near an attracting surface using phenomenological arguments. The actual positions of the phase boundaries are estimated numerically…

Statistical Mechanics · Physics 2009-11-07 R. Rajesh , Deepak Dhar , Debaprasad Giri , Sanjay Kumar , Yashwant Singh

We use lattice-Boltzmann molecular dynamics (LBMD) simulations to study the compression of a confined polymer immersed in a fluid and pushed by a large spherical colloid with a diameter comparable to the channel width. We examined the…

Soft Condensed Matter · Physics 2024-06-24 Setarehalsadat Changizrezaei , Mikko Karttunen , Colin Denniston

This study focuses on comparing the individual polymer chain dynamics in an entangled polymeric liquid under different shear and extension rates. Polymer chains under various shear rates and extension rates were simulated using a…

Chemical Physics · Physics 2021-01-15 Behrouz Behdani , Tong Mou , Cody Spratt , Slava Butcovich , Ryan Gettler , Joontaek Park

The process of adsorption on a planar repulsive, "marginal" and attractive wall of long-flexible polymer chains with excluded volume interactions is investigated. The performed scaling analysis is based on formal analogy between the polymer…

Soft Condensed Matter · Physics 2009-10-08 Z. Usatenko

We report molecular dynamics simulations of the segregation of two overlapping chains in cylindrical confinement. We find that the entropic repulsion between the chains can be sufficiently strong to cause segregation on a time scale that is…

Soft Condensed Matter · Physics 2011-11-09 Axel Arnold , Suckjoon Jun

Constitutive equations are derived for the viscoelastic response of rubbery polymers at finite strains. A polymer is thought of as a network of long chains connected to temporary junctions. At a random time, a chain detaches from a…

Soft Condensed Matter · Physics 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

The properties of semiflexible polymers tethered by one end to an impenetrable wall and exposed to oscillatory shear flow are investigated by mesoscale simulations. A polymer, confined in two dimensions, is described by a linear bead-spring…

Soft Condensed Matter · Physics 2021-12-14 Antonio Lamura , Roland G. Winkler , Gerhard Gompper

The aim of this paper is to investigate the distribution of a continuous polymer in the presence of an attractive finitely supported potential. The most intricate behavior can be observed if we simultaneously and independently vary two…

Mathematical Physics · Physics 2020-12-04 L. Koralov , S. Molchanov , B. Vainberg

We present simulation results for single a-thermal chain polymers in finite volumes. For this we use a recently proposed recursive implementation of the enrichment method. In 3 dimensions it allows the simulation of extremely long chains…

Condensed Matter · Physics 2009-10-22 Peter Grassberger , Rainer Hegger

We study an undirected polymer chain living on the 1-dimensional integer lattice and carrying i.i.d.\ random charges. Each self-intersection of the polymer contributes to the Hamiltonian an energy that is equal to the product of the charges…

Probability · Mathematics 2016-03-23 F. Caravenna , F. Den Hollander , N. Pétrélis , J. Poisat

In this review we provide an organized summary of the theoretical and computational results which are available for polymers subject to spatial or topological constraints. Because of the interdisciplinary character of the topic, we provide…

Statistical Mechanics · Physics 2015-03-19 Cristian Micheletti , Davide Marenduzzo , Enzo Orlandini
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