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Related papers: Lattice Monte Carlo Simulations of Polymer Melts

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Synthetic polymers have a distribution of chain lengths which can be characterized by dispersity, D. Macroscopic properties of polymers are influenced by chain mobility in the melt and manipulating D can significantly impact these…

Chemical Physics · Physics 2024-09-30 Taofeek Tejuosho , Sohil Kollipara , Sumant Patankar , Janani Sampath

We study the statistics of branching polymers with excluded-volume interactions, by modeling them as single self-avoiding trees on a generic regular periodic lattice with coordination number $q$. Each lattice site can be occupied at most by…

Statistical Mechanics · Physics 2025-10-13 Davide Marcato , Achille Giacometti , Amos Maritan , Angelo Rosa

Twist stiffness and an asymmetric bending stiffness of a polymer or a polymer bundle is captured by the elastic ribbon model. We investigate the effects a ring geometry induces to a thermally fluctuating ribbon, finding bend-bend coupling…

Biomolecules · Quantitative Biology 2008-02-07 Karen Alim , Erwin Frey

We demonstrate the use of a new algorithm called the Flat Histogram sampling algorithm for the simulation of lattice polymer systems. Thermodynamics properties, such as average energy or entropy and other physical quantities such as…

Statistical Mechanics · Physics 2009-11-07 Lik Wee Lee , Jian-Sheng Wang

Monte Carlo (MC) simulations are used to study the dynamics of polymer translocation through a nanopore in the limit where the translocation rate is sufficiently slow that the polymer maintains a state of conformational quasi-equilibrium.…

Soft Condensed Matter · Physics 2015-06-12 James M. Polson , Anthony C. M. McCaffrey

Molecular dynamics simulation of a generic polymer model is applied to study melts of polymers with different types of intrinsic stiffness. Important static observables of the single chain such as gyration radius or persistence length are…

Soft Condensed Matter · Physics 2017-09-13 Roland Faller , Alexander Kolb , Florian Müller-Plathe

The effect of different Monte Carlo move sets on the the folding kinetics of lattice polymer chains is studied from the geometry of the conformation-network. The networks have the characteristics of small- world. The Monte Carlo move, rigid…

Statistical Mechanics · Physics 2009-11-11 Yu-Pin Luo , Hung-Yeh Lin , Ming-Chang Huang , Tsong-Ming Liaw

Compact polymers are self-avoiding random walks which visit every site on a lattice. This polymer model is used widely for studying statistical problems inspired by protein folding. One difficulty with using compact polymers to perform…

Soft Condensed Matter · Physics 2009-11-11 Richard Oberdorf , Allison Ferguson , Jesper L. Jacobsen , Jane' Kondev

We introduce and implement a Monte Carlo scheme to study the equilibrium statistics of polymers in the globular phase. It is based on a model of "interacting elastic lattice polymers" and allows a sufficiently good sampling of long and…

Statistical Mechanics · Physics 2014-06-25 M. Baiesi , E. Orlandini

Histogram-reweighting Monte Carlo simulations were used to obtain polymer / solvent phase diagrams for lattice homopolymers of chain lengths up to r=1000 monomers. The simulation technique was based on performing a series of grand canonical…

Soft Condensed Matter · Physics 2009-10-30 Athanassios Z. Panagiotopoulos , Vicky Wong , M. Antonio Floriano

The lattice cluster theory (LCT) for semiflexible linear telechelic melts, developed in paper I, is applied to examine the influence of chain stiffness on the average degree of self-assembly and the basic thermodynamic properties of linear…

Soft Condensed Matter · Physics 2015-06-29 Wen-Sheng Xu , Karl F. Freed

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

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

The adsorption of a bottle-brush polymer end-grafted with one chain end of its backbone to a flat substrate surface is studied by Monte Carlo simulation of a coarse-grained model, that previously has been characterized in the bulk, assuming…

Soft Condensed Matter · Physics 2010-10-13 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

In this paper we study the shape characteristics of a polymer chain in a good solvent using a mesoscopic level of modelling. The dissipative particle dynamics simulations are performed in the $3D$ space at a range of chain lengths $N$. The…

Soft Condensed Matter · Physics 2016-11-24 Ostap Kalyuzhnyi , Jaroslav Ilnytskyi , Yurij Holovatch , Christian von Ferber

We study a solution of interacting semiflexible polymers with curvature energy in poor-solvent conditions on the d-dimensional cubic lattice using mean-field theory and Monte Carlo computer simulations. Building upon past studies on a…

Soft Condensed Matter · Physics 2024-07-02 Davide Marcato , Achille Giacometti , Amos Maritan , Angelo Rosa

A rigourous Monte Carlo method for protein folding simulation on lattice model is introduced. We show that a parameter which can be seen as the rigidity of the conformations has to be introduced in order to satisfy the detailed balance…

Soft Condensed Matter · Physics 2007-05-23 Olivier Collet

In this paper, we construct an effective model for the dynamics of an excluded-volume chain under confinement, by extending the formalism of Rouse modes. We make specific predictions about the behavior of the modes for a single polymer…

Soft Condensed Matter · Physics 2009-09-29 Joshua Kalb , Bulbul Chakraborty

We present a Bethe approximation to study lattice models of linear polymers. The approach is variational in nature and based on the cluster variation method (CVM). We focus on a model with $(i)$ a nearest neighbor attractive energy…

Statistical Mechanics · Physics 2009-10-31 Stefano Lise , Amos Maritan , Alessandro Pelizzola

A central paradigm of polymer physics states that chains in melts behave like random walks as intra- and interchain interactions effectively cancel each other out. Likewise, $\theta$-chains, i.e., chains at the transition from a swollen…

Soft Condensed Matter · Physics 2024-11-21 Maurice P. Schmitt , Sarah Wettermann , Kostas Ch. Daoulas , Hendrik Meyer , Peter Virnau