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We develop Monte Carlo simulations for uniformly charged polymers and machine learning algorithm to interpret the intra-polymer structure factor of the charged polymer system, which can be obtained from small-angle scattering experiments.…

Soft Condensed Matter · Physics 2025-11-21 Lijie Ding , Chi-Huan Tung , Jan-Michael Y. Carrillo , Wei-Ren Chen , Changwoo Do

The massive field theory approach in fixed space dimensions $d=3$ is applied to investigate a dilute solution of long-flexible polymer chains in a good solvent between two parallel repulsive walls, two inert walls and for the mixed case of…

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

The predictions of the polymer mode coupling theory for the finite size corrections to the transport coefficients of entangled polymeric systems are tested in comparisons with various experimental data. It is found that quantitative…

Condensed Matter · Physics 2009-10-30 Matthias Fuchs , Kenneth S. Schweizer

We study bond percolation of $N$ non-interacting Gaussian polymers of $\ell$ segments on a 2D square lattice of size $L$ with reflecting boundaries. Through simulations, we find the fraction of configurations displaying {\em no} connected…

Statistical Mechanics · Physics 2007-05-23 Manoj Gopalakrishnan , Beate Schmittmann , R. K. P. Zia

We report numerical estimates of correlation lengths in 2D Potts models from the asymptotic decay of the cluster-diameter distribution. Using this observable we are able to verify theoretical predictions for the correlation length in the…

High Energy Physics - Lattice · Physics 2009-10-28 Wolfhard Janke , Stefan Kappler

We investigate interfacial properties between two highly incompatible polymers of different stiffness. The extensive Monte Carlo simulations of the binary polymer melt yield detailed interfacial profiles and the interfacial tension via an…

Statistical Mechanics · Physics 2009-10-30 Marcus Mueller , Andreas Werner

We present an exactly solvable model of a Gaussian (flexible) polymer chain in a quenched random medium. This is the case when the random medium obeys very long range quadratic correlations. The model is solved in $d$ spatial dimensions…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yohannes Shiferaw , Yadin Y. Goldschmidt

The conformational properties of a semi-flexible polymer chain, anchored at one end in a uniform force field, are studied in a simple two-dimensional model. Recursion relations are derived for the partition function and then iterated…

Soft Condensed Matter · Physics 2009-11-07 A. Lamura , T. W. Burkhardt , G. Gompper

We demonstrate a variant of the Bond Fluctuation lattice Monte Carlo model in which moves through cis conformations are forbidden. Ring polymers in this model have a conserved quantity that amounts to a topological linking number. Increased…

Soft Condensed Matter · Physics 2009-10-31 Joseph S. Plewa , Thomas A. Witten

The conformational behavior of a polymer in a critical binary solvent confined in a porous medium is studied. The size of the polymer in bulk, which is mainly governed by the correlation length of the solvent density fluctuations, depends…

Soft Condensed Matter · Physics 2007-05-23 Amina Negadi , Arti Dua , Thomas A. Vigis

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

The correlations in the motion of reptating polymers in their melt are investigated by means of kinetic Monte Carlo simulations of the three dimensional slithering snake version of the bond-fluctuation model. Surprisingly, the slithering…

Statistical Mechanics · Physics 2009-11-07 L. Mattioni , J. P. Wittmer , J. Baschnagel , J. -L. Barrat , E. Luijten

We study universal aspects of polymer conformations and transverse fluctuations for a single swollen chain characterized by a contour length $L$ and a persistence length $\ell_p$ in two dimensions (2D) and in three dimensions (3D) in the…

Soft Condensed Matter · Physics 2023-06-07 Jacob Bair , Swarnadeep Seth , Aniket Bhattacharya

A kinetic Monte Carlo method was used to simulate the diffusion of reptating polymer chains across the interface. A time-resolved fluorescence technique conjunction with direct energy transfer method was used to measure the extend of…

Soft Condensed Matter · Physics 2007-05-23 Erkan Tuzel , K. Batuhan Kisacikoglu , Onder Pekcan

We consider models of directed polymers interacting with a one-dimensional defect line on which random charges are placed. More abstractly, one starts from renewal sequence on $\Z$ and gives a random (site-dependent) reward or penalty to…

Probability · Mathematics 2007-06-13 F. L. Toninelli

By means of contact-density chain-growth simulations, we investigate a simple lattice model of a flexible polymer interacting with an attractive substrate. The contact density is a function of the numbers of monomer-substrate and…

Statistical Mechanics · Physics 2011-07-04 Michael Bachmann

This work investigates the effects of tangent polar activity on the conformational and dynamic properties of entangled polymer melts through Langevin molecular dynamics simulations. We examine systems composed of all self-propelled,…

Soft Condensed Matter · Physics 2024-11-19 Javier Oller-Iscar , Andrés R. Tejedor , Marisol Ripoll , Jorge Ramírez

We examine entanglements using monomer contacts between pairs of chains in a Brownian-dynamics simulation of a polymer melt. A map of contact positions with respect to the contacting monomer numbers (i,j) shows clustering in small regions…

Condensed Matter · Physics 2009-10-28 E. Ben-Naim , G. S. Grest , T. A. Witten , A. R. C. Baljon

Linear polymers and other connected "line liquids" exhibit a coupling between density and equilibrium nematic order on the macroscopic level that gives rise to a Meyer-de Gennes vectorial conservation law. Nevertheless, isotropic linear…

Soft Condensed Matter · Physics 2019-04-08 Aleksandar Popadić , Daniel Svenšek , Rudolf Podgornik , Matej Praprotnik

Correlation functions in concentrated ionic systems are studied within the mesoscopic theory at the level of the Gaussian approximation. The previously neglected fluctuation contribution to the inverse charge-charge correlation function is…

Soft Condensed Matter · Physics 2025-06-26 O. Patsahan , A. Ciach