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We study the localisation of lattice polymer models near a permeable interface in two dimensions. Localisation can arise due to an interaction between the polymer and the interface, and can be altered by a preference for the bulk solvent on…

Statistical Mechanics · Physics 2024-07-24 C J Bradly , N R Beaton , A L Owczarek

We study the dynamics of a single chain polymer confined to a two dimensional cell. We introduce a kinetically constrained lattice gas model that preserves the connectivity of the chain, and we use this kinetically constrained model to…

Statistical Mechanics · Physics 2011-11-09 Armin Rahmani , Claudio Castelnovo , Jeremy Schmit , Claudio Chamon

Linear polymers are represented as chains of hopping reptons and their motion is described as a stochastic process on a lattice. This admittedly crude approximation still catches essential physics of polymer motion, i.e. the universal…

Statistical Mechanics · Physics 2015-05-18 J. M. J. van Leeuwen , Andrzej Drzewinski

We explore the critical behaviour of two and three dimensional lattice models of polymers in dilute solution where the monomers carry a magnetic moment which interacts ferromagnetically with near-neighbour monomers. Specifically, the model…

Statistical Mechanics · Physics 2021-08-25 Damien Paul Foster , Debjyoti Majumdar

We study the diffusion process through an ideal polymer network, using numerical methods. Polymers are modeled by random walks on the bonds of a two-dimensional square lattice. Molecules occupy the lattice cells and may jump to the…

Statistical Mechanics · Physics 2007-05-23 Yong Wu , B Schmittmann , R K P Zia

Monte Carlo simulations of proteins are hindered by the system's high density which often makes local moves ineffective. Here we devise and test a set of long range moves that work well even when all sites of a lattice simulation are…

Soft Condensed Matter · Physics 2009-10-28 J. M. Deutsch

In this paper we present simulations of a surface-adsorbed polymer subject to an elongation force. The polymer is modelled by a self-avoiding walk on a regular lattice. It is confined to a half-space by an adsorbing surface with attractions…

Statistical Mechanics · Physics 2007-05-23 J. Krawczyk , T. Prellberg , A. Rechnitzer , A. L. Owczarek

We report a numerical study of self-avoiding polymers on the square lattice, including an attractive potential between nonconsecutive monomers. Using Wang-Landau sampling (WLS) with adaptive windows, we obtain the density of states for…

Statistical Mechanics · Physics 2009-11-13 A. G. Cunha-Netto , Ronald Dickman , A. A. Caparica

Dimerization and subsequent aggregation of polymers and biopolymers often occur under nonequilibrium conditions. When the initial state of the polymer is not collapsed or the final folded native state, the dynamics of dimerization can…

Soft Condensed Matter · Physics 2024-11-19 Sangita Mondal , Ved Mahajan , Biman Bagchi

In this paper we establish a new efficient method for simulating polymer-solvent systems which combines a lattice Boltzmann approach for the fluid with a continuum molecular dynamics (MD) model for the polymer chain. The two parts are…

Soft Condensed Matter · Physics 2009-10-31 Patrick Ahlrichs , Burkhard Duenweg

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

Polymer chains undergoing a continuous adsorption-desorption transition are studied through extensive computer simulations. A three-dimensional self-avoiding walk lattice model of a polymer chain grafted onto a surface has been treated for…

Statistical Mechanics · Physics 2018-05-30 P. H. L. Martins , J. A. Plascak , M. Bachmann

We study the diffusion of a linear polymer in the presence of permeable membranes without excluded volume interactions, using scaling theory and Monte Carlo simulations. We find that the average time it takes for a chain with polymerization…

Condensed Matter · Physics 2016-08-31 Hyoungsoo Yoon , J. M. Deutsch

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

Polymer chains with hard-core interaction on a two-dimensional lattice are modeled by directed random walks. Two models, one with intersecting walks (IW) and another with non-intersecting walks (NIW) are presented, solved and compared. The…

Condensed Matter · Physics 2016-08-31 G. Forgacs , K. Ziegler

Molecular dynamics simulation methods are used to study the folding of polymer chains into packed cubic states. The polymer model, based on a chain of linked sites moving in the continuum, includes both excluded volume and torsional…

Soft Condensed Matter · Physics 2009-11-10 D. C. Rapaport

We write exact equations for the thermodynamic properties of a linear polymer molecule confined to walk on a lattice of finite size. The dimension of the space in which the lattice resides can be arbitrary. We also calculate polymer…

General Physics · Physics 2011-10-04 Esdmund A. Di Marzio , Charles M. Guttman

We present computer simulations of a dynamic Monte Carlo algorithm for polymer chains on the FCC lattice which takes explicitly into account the possibility to overcome topological constraints by controlling the rate at which nearby polymer…

Soft Condensed Matter · Physics 2021-12-01 Mattia Alberto Ubertini , Angelo Rosa

We present a lattice model for polymer solutions, explicitly incorporating interactions with a bath of solvent and cosolvent molecules. By exploiting the well-known analogy between polymer systems and the $O(n)$-vector spin model in the…

Soft Condensed Matter · Physics 2025-04-21 Davide Marcato , Achille Giacometti , Amos Maritan , Angelo Rosa

We study a model of "elastic" lattice polymer in which a fixed number of monomers $m$ is hosted by a self-avoiding walk with fluctuating length $l$. We show that the stored length density $\rho_m = 1 - <l>/m$ scales asymptotically for large…

Statistical Mechanics · Physics 2010-06-16 Marco Baiesi , Gerard T. Barkema , Enrico Carlon
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