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Related papers: Freezing and collapse of flexible polymers

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Dynamics of various biological filaments can be understood within the framework of active polymer models. Here we consider a bead-spring model for a flexible polymer chain in which the active interaction among the beads is introduced via an…

Soft Condensed Matter · Physics 2021-08-03 Subhajit Paul , Suman Majumder , Subir K Das , Wolfhard Janke

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

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

We analyse the conformational behaviour of a linear semiflexible homo-polymer chain confined by two geometrical constraints under a good solvent condition in two dimensions. The constraints are stair shaped impenetrable surfaces. The…

Soft Condensed Matter · Physics 2014-07-14 Pramod Kumar Mishra

We introduce a lattice model of glass transition in polymer globules. This model exhibits a novel scenario of ergodicity breaking in which the disjoint regions of phase space do not arise uniformly, but as small chambers whose number…

Disordered Systems and Neural Networks · Physics 2009-10-31 Rose Du , Alexander Yu. Grosberg , Toyoichi Tanaka , Michael Rubinstein

It is difficult to derive the solid--fluid transition from microscopic models. We introduce particle systems whose potentials do not decay with distance and calculate their partition function exactly using a method similar to that for…

Statistical Mechanics · Physics 2015-09-04 Hisato Komatsu

The equilibrium thermodynamic properties of a linear polymer chain confined to a space between two impenetrable walls (lines) at a distance $D$ under various solvent conditions have been studied using series analysis and exact enumeration…

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

We consider a model of two (fully) compact polymer chains, coupled through an attractive interaction. These compact chains are represented by Hamiltonian paths (HP), and the coupling favors the existence of common bonds between the chains.…

Statistical Mechanics · Physics 2009-10-31 S. Franz , T. Garel , H. Orland

Molecular process of polymer collapse was reproduced by isothermal molecular dynamics simulation. The initial polymer chains were obtained by mean of random walks in continuum space. Two potential models were considered to represent short…

Soft Condensed Matter · Physics 2007-05-23 S. A. Sabeur , F. Hamdache , M. Bouarkat

The understanding of thermodynamic glass transition has been hindered by the lack of proper models beyond mean-field theories. Here, we propose a three-dimensional lattice glass model on a simple cubic lattice that exhibits the typical…

Statistical Mechanics · Physics 2020-08-07 Yoshihiko Nishikawa , Koji Hukushima

This paper leads with a random polymer model in $\Z^2$ having long-range self-repulsive interactions. By comparison with a long range one-dimensional ferromagnetic Ising model we shown that the polymer models we considered here undergo a…

Probability · Mathematics 2014-05-29 Leandro Cioletti , Chang Dorea , Simone Vasconcelos

Applying the contact density chain-growth algorithm to lattice heteropolymers, we identify the conformational transitions of a nongrafted hydrophobic-polar heteropolymer with 103 residues in the vicinity of a polar, a hydrophobic, and a…

Soft Condensed Matter · Physics 2009-11-13 Michael Bachmann , Wolfhard Janke

The competition between chain entropy and bending rigidity in compact polymers can be addressed within a lattice model introduced by P.J. Flory in 1956. It exhibits a transition between an entropy dominated disordered phase and an…

Other Condensed Matter · Physics 2007-05-23 Jesper Lykke Jacobsen , Jane' Kondev

Using molecular dynamics simulations of a tangent-soft-sphere bead-spring polymer model, we examine the degree to which semiflexible polymer melts solidify at isostaticity. Flexible and stiff chains crystallize when they are isostatic as…

Soft Condensed Matter · Physics 2017-07-21 Christian O. Plaza-Rivera , Hong T. Nguyen , Robert S. Hoy

We study conformational transitions of a polymer on a simple-cubic lattice by calculating the zeros of the exact partition function, up to chain length 24. In the complex temperature plane, two loci of the partition function zeros are found…

Statistical Mechanics · Physics 2012-09-27 Jae Hwan Lee , Seung-Yeon Kim , Julian Lee

The results obtained from molecular dynamics simulations of the friction at an interface between polymer melts and weakly attractive crystalline surfaces are reported. We consider a coarse-grained bead-spring model of linear chains with…

Soft Condensed Matter · Physics 2012-06-12 Nikolai V. Priezjev

We introduce a class of models of semiflexible polymers. The latter are characterized by a strong rigidity, the correlation length associated to the gradient-gradient correlations, called the persistence length, being of the same order as…

Probability · Mathematics 2011-08-25 Ostap Hryniv , Yvan Velenik

We consider a two-letter self-avoiding (square) lattice heteropolymer model of N_H (out ofN) attracting sites. At zero temperature, permanent links are formed leading to collapse structures for any fraction rho_H=N_H/N. The average chain…

Statistical Mechanics · Physics 2009-10-28 Carlos J. Camacho , Tone Schanke

We consider equilibrium relaxation properties of the end-to-end distance and of principal components in a one-dimensional polymer chain model with nonlinear interaction between the beads. While for the single-well potentials these…

Soft Condensed Matter · Physics 2015-05-13 S. Fugmann , I. M. Sokolov

We investigate, using numerical simulations and analytical arguments, a simple one dimensional model for the swelling or the collapse of a closed polymer chain of size N, representing the dynamical evolution of a polymer in a \Theta-solvent…

Condensed Matter · Physics 2009-10-31 E. Pitard , J. -P. Bouchaud