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Related papers: Freezing and Collapse of Flexible Polymers on Regu…

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We analyze the freezing and collapse transition of a simple model for flexible polymer chains on simple cubic and face-centered cubic lattices by means of sophisticated chain-growth methods. In contrast to bond-fluctuation polymer models in…

Soft Condensed Matter · Physics 2009-02-16 Thomas Vogel , Michael Bachmann , Wolfhard Janke

A polymer chain tethered to a surface may be compact or extended, adsorbed or desorbed, depending on interactions with the surface and the surrounding solvent. This leads to a rich phase diagram with a variety of transitions. To investigate…

Soft Condensed Matter · Physics 2009-11-13 Jutta Luettmer-Strathmann , Federica Rampf , Wolfgang Paul , Kurt Binder

While the $\Theta$-collapse of single long polymers in bad solvents is usually a continuous (tri-critical) phase transition, there are exceptions where it is preempted by a discontinuous crystallization (liquid $\leftrightarrow$ solid)…

Soft Condensed Matter · Physics 2015-06-16 Peter Grassberger

This report deals with phase transition in Bond Fluctuation Model (BFM) of a linear homo polymer on a two dimensional square lattice. Each monomer occupies a unit cell of four lattice sites. The condition that a lattice site can at best be…

Soft Condensed Matter · Physics 2012-04-16 Hima Bindu Kolli , K. P. N. Murthy

We study the collapse transition of a polymer on a square lattice with both nearest-neighbor and next nearest-neighbor interactions, by calculating the exact partition function zeros up to chain length 36. The transition behavior is much…

Statistical Mechanics · Physics 2012-06-06 Jae Hwan Lee , Seung-Yeon Kim , Julian Lee

The conformations of interacting linear polymers on a dynamical planar random lattice are studied using a random two-matrix model. An exact expression for the partition function of self-avoiding chains subject to attractive contact…

Condensed Matter · Physics 2008-02-03 Simon Dalley

The nature of the globule-coil transition of surface-confined polymers has been an issue of debate. Here this 2D collapse transition is studied through a partially directed lattice model. In the general case of polymers with positive…

Soft Condensed Matter · Physics 2007-05-23 Haijun Zhou , Jie Zhou , Zhong-Can Ou-Yang , Sanjay Kumar

We consider the lattice model for an ideal-linear polymer chain to mimic the conformations of the semi-flexible homo-polymer chain. The polymer chain is assumed to confine in the fairly small area, such that the flexible chain conformations…

Soft Condensed Matter · Physics 2020-10-23 Pramod Kumar Mishra

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 investigate the addition of stiffness to the lattice model of hydrogen-bonded polymers in two and three dimensions. We find that, in contrast to polymers that interact via a homogeneous short-range interaction, the collapse transition is…

Soft Condensed Matter · Physics 2009-11-13 J Krawczyk , AL Owczarek , T Prellberg

In earlier work we provided the first evidence that the collapse, or coil-globule, transition of an isolated polymer in solution can be seen in a four-dimensional model. Here we investigate, via Monte Carlo simulations, the canonical…

Statistical Mechanics · Physics 2009-10-31 T. Prellberg , A. L. Owczarek

The presence of ordered structures such as helices in collapsed states of polymer chains is still an open question challenging physics and biology. In this work, we present a potential model for polymer chains with monomers that are not…

Soft Condensed Matter · Physics 2011-06-28 Sid Ahmed Sabeur , Mounira Bouarkat , Friederike Schmid

We investigate the crystallization of a single, flexible homopolymer chain using transition path sampling (TPS). The chain consists of N identical spherical monomers evolved according to Langevin dynamics. While neighboring monomers are…

Soft Condensed Matter · Physics 2016-08-17 Christian Leitold , Christoph Dellago

We study the model of a partially directed flexible or semi-flexible homopolymer on a square lattice, subject to an externally applied force, in a direction either parallel to, or perpendicular to the preferred direction. The polymer is…

Statistical Mechanics · Physics 2015-05-19 Pui-Man Lam , Yi Zhen

We report Monte Carlo simulations of a lattice-polymer model that can account for both polymer crystallization and liquid-liquid demixing in solutions of semiflexible homopolymers. In our model, neighboring polymer segments can have…

Soft Condensed Matter · Physics 2009-11-07 Wenbing Hu , Daan Frenkel , Vincent B. F. Mathot

We study the problem of adsorption and collapse transition of a linear polymer chain situated in a fractal container represented by a 4-simplex lattice and interacting with a surface adsorbed linear polymer chain. The adsorbed chain…

Statistical Mechanics · Physics 2009-10-31 Sanjay Kumar , Yashwant Singh

We generalize a recently investigated lattice model of semiflexible polymers formed under equilibrium polymerization in a solution and conduct a comprehensive investigation of its melting properties. The model is characterized by six…

Condensed Matter · Physics 2007-05-23 Sagar S. Rane , P. D. Gujrati

This paper reviews recent Monte Carlo simulation studies of the glassy behavior in thin polymer films. The simulations employ a version of the bond-fluctuation lattice model, in which the glass transition is driven by the competition…

Soft Condensed Matter · Physics 2007-05-23 C. Mischler , J. Baschnagel , K. Binder

We present results for the nonequilibrium dynamics of collapse for a model flexible homopolymer on simple cubic lattices with fixed and fluctuating bonds between the monomers. Results from our Monte Carlo simulations show that,…

Soft Condensed Matter · Physics 2017-10-11 Henrik Christiansen , Suman Majumder , Wolfhard Janke

Almost all the polymer crystals have several polymorphic modifications. Their structure and existence conditions, as well as transitions between them are not understood even in the case of the 'model' polymer polyethylene (PE). For analysis…

Materials Science · Physics 2011-09-06 Elena A. Zubova , Alexander V. Savin , Nikolay K. Balabaev
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