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Related papers: Self-avoiding walks pulled at an angle

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In this paper the percolation of monomers on a square lattice is studied as the particles interact with either repulsive or attractive energies. By means of a finite-size scaling analysis, the critical exponents and the scaling collapsing…

Statistical Mechanics · Physics 2009-11-13 M. Cecilia Gimenez , Felix Nieto , Antonio J. Ramirez-Pastor

Recently it has been shown that a two-dimensional model of self-attracting polymers based on attracting segments with the addition of stiffness displays three phases: a swollen phase, a globular, liquid-like phase, and an anisotropic…

Soft Condensed Matter · Physics 2015-06-23 J. Krawczyk , A. L. Owczarek , T. Prellberg

We study the winding angles of random and self-avoiding walks on square and cubic lattices with number of steps $N$ ranging up to $10^7$. We show that the mean square winding angle $\langle\theta^2\rangle$ of random walks converges to the…

Statistical Mechanics · Physics 2016-07-07 Yosi Hammer , Yacov Kantor

We present the phase diagram of a far from equilibrium system, mapped by Monte Carlo simulation. The model is a lattice gas of two species of particles and holes. The two species are biased to hop in opposite directions and interact via…

Statistical Mechanics · Physics 2007-05-23 Edward Lyman , B. Schmittmann

We study the motion of a particle on the two-dimensional honeycomb lattice, whose sites are occupied by either flipping rotators or flipping mirrors, which scatter the particle according to a deterministic rule. For both types of scatterers…

Mathematical Physics · Physics 2015-06-19 Benjamin Webb , E. G. D. Cohen

A phase diagram for a surface-interacting long flexible polymer chain in a two-dimensional poor solvent where the possibility of collapse exists is determined using exact enumeration method. A model of a self-attracting self avoiding walk…

Statistical Mechanics · Physics 2007-05-23 Yashwant Singh , Debaprasad Giri , Sanjay Kumar

The effect of different move sets on the folding kinetics of the Monte Carlo simulations is analysed based on the conformation-network and the temperature-dependent folding kinetics. A new scheme of implementing Metropolis algorithm is…

Soft Condensed Matter · Physics 2007-05-23 Yu-Pin Luo , Ming-Chang Huang , Yen-Liang Chou , Tsong-Ming Liaw

We present an extremely simplified model of multiple-domains polymer stretching in an atomic force microscopy experiment. We portray each module as a binary set of contacts and decompose the system energy into a harmonic term (the…

Biomolecules · Quantitative Biology 2008-01-20 Carlo Guardiani , Franco Bagnoli

Self-avoiding walks and self-avoiding trails, two models of a polymer coil in dilute solution, have been shown to be governed by the same universality class. On the other hand, self-avoiding walks interacting via nearest-neighbour contacts…

Statistical Mechanics · Physics 2015-06-11 A. Bedini , A. L. Owczarek , T. Prellberg

Within self-consistent field theory we study the phase behavior of a symmetrical binary AB polymer blend confined into a thin film. The film surfaces interact with the monomers via short range potentials. One surface attracts the A…

Statistical Mechanics · Physics 2007-05-23 M. Mueller , K. Binder , E. V. Albano

The winding angle probability distribution of a planar self-avoiding walk has been known exactly since a long time: it has a gaussian shape with a variance growing as $<\theta^2>\sim \ln L$. For the three-dimensional case of a walk winding…

Statistical Mechanics · Physics 2011-10-25 Jean-Charles Walter , Gerard Barkema , Enrico Carlon

We report molecular dynamics simulations of a system of repulsive, polymer-tethered colloidal particles. We use an explicit polymer model to explore how the length and the behavior of the polymer (ideal or self-avoiding) affect the ability…

Soft Condensed Matter · Physics 2015-05-14 Behnaz Bozorgui , Maya Sen , William L. Miller , Josep C. Pamies , Angelo Cacciuto

We investigate the phase diagram of disordered copolymers at the interface between two selective solvents, and in particular its weak-coupling behavior, encoded in the slope $m_c$ of the critical line at the origin. In mathematical terms,…

Probability · Mathematics 2008-11-25 T. Bodineau , G. Giacomin , H. Lacoin , F. Toninelli

A {\it new} formula for the force vs extension relation is derived from the discrete version of the so called {\it worm like chain} model. This formula correctly fits some recent experimental data on polymer stretching and some numerical…

Statistical Mechanics · Physics 2009-11-10 A. Rosa , T. X. Hoang , D. Marenduzzo , A. Maritan

Electroactive polymers are smart materials that can be used as actuators, sensors, or energy harvesters. We focus on a pseudo trilayer based on PEDOT, a semiconductor polymer: the central part consists of two interpenetrating polymers and…

Classical Physics · Physics 2025-09-11 Mireille Tixier , J Pouget

We analyze a (1+1)-dimension directed random walk model of a polymer dipped in a medium constituted by two immiscible solvents separated by a flat interface. The polymer chain is heterogeneous in the sense that a single monomer may…

Probability · Mathematics 2007-05-23 Erwin Bolthausen , Giambattista Giacomin

We report extensive simulations of the relaxation dynamics of a self-avoiding polymer confined inside a cylindrical pore. In particular, we concentrate on examining how confinement influences the scaling behavior of the global relaxation…

Soft Condensed Matter · Physics 2009-11-13 A. Arnold , B. Bozorgui , D. Frenkel , B. -Y. Ha , S. Jun

Conformational phases of a semiflexible off-lattice homopolymer model near an attractive substrate are investigated by means of multicanonical computer simulations. In our polymer-substrate model, nonbonded pairs of monomers as well as…

Computational Physics · Physics 2009-07-20 Monika Möddel , Michael Bachmann , Wolfhard Janke

We study the conformational properties of polymers in presence of extended columnar defects of parallel orientation. Two classes of macromolecules are considered: the so-called partially directed polymers with preferred orientation along…

Soft Condensed Matter · Physics 2015-10-28 K. Haydukivska , V. Blavatska

We show that the structural properties and phase behavior of a self-avoiding polymer chain on adhesive substrate, subject to pulling at the chain end, can be obtained by means of a Grand Canonical Ensemble (GCE) approach. We derive…

Soft Condensed Matter · Physics 2009-04-05 S. Bhattacharya , V. G. Rostiashvili , A. Milchev , T. A. Vilgis