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We introduce a new disorder regime for directed polymers with one space and one time dimension that is accessed by scaling the inverse temperature parameter \beta with the length of the polymer n. We scale \beta_n := \beta n^{-\alpha} for…

Statistical Mechanics · Physics 2013-05-29 Tom Alberts , Kostya Khanin , Jeremy Quastel

The nature of the theta point for a polymer in two dimensions has long been debated, with a variety of candidates put forward for the critical exponents. This includes those derived by Duplantier and Saleur (DS) for an exactly solvable…

Statistical Mechanics · Physics 2016-05-11 Adam Nahum

We consider star polymers, consisting of two different polymer species, in a solvent subject to quenched correlated structural obstacles. We assume that the disorder is correlated with a power-law decay of the pair correlation function…

Soft Condensed Matter · Physics 2011-01-17 Viktoria Blavatska , Christian von Ferber , Yurij Holovatch

We consider a one-dimensional directed polymer in a random potential which is characterized by the Gaussian statistics with the finite size local correlations. It is shown that the well-known Kardar's solution obtained originally for a…

Statistical Mechanics · Physics 2009-10-30 S. E. Korshunov , Vik. S. Dotsenko

We consider a linear polymer chain in a disordered environment modeled by percolation clusters on a square lattice. The disordered environment is meant to roughly represent molecular crowding as seen in cells. The model may be viewed as the…

Statistical Mechanics · Physics 2015-05-13 Amit Raj Singh , Debaprasad Giri , Sanjay Kumar

In this paper we compare two polymer stretching experiments. The outcome of both experiments is a force-extension relation. We use a one-dimensional model to show that in general the two quantities are not equal. In certain limits, however,…

Statistical Mechanics · Physics 2009-11-11 Erik Van der Straeten , Jan Naudts

We develop a unified scaling framework for the end-position distributions of tethered polymers confined in finite cylindrical geometries. Two observables are analysed: the longitudinal distribution P(x), along the confinement axis, and the…

Soft Condensed Matter · Physics 2025-12-16 Bibhatsu Kuiri , Rittwick Mondal , Dipankar Biswas , Soumyajyoti Kabi

We examine the scaling of the linear dimension of the system size of a real polymer solution at constant excess free energy and in two different spacial dimensionalities, d=d0 and d=d1. Standard results for the functional form of the excess…

Soft Condensed Matter · Physics 2008-09-23 C. P. Lowe , M. W. Dreischor

A coarse grained model for flexible polymers end-grafted to repulsive spherical nanoparticles is studied for various chain lengths and grafting densities under good solvent conditions, by Molecular Dynamics methods and density functional…

Soft Condensed Matter · Physics 2015-05-18 Federica Lo Verso , Sergei A. Egorov , Andrey Milchev , Kurt Binder

The crossover region in the phase diagram of polymer solutions, in the regime above the overlap concentration, is explored by Brownian Dynamics simulations, to map out the universal crossover scaling functions for the gyration radius and…

Soft Condensed Matter · Physics 2020-07-03 Aashish Jain , B. Duenweg , J. Ravi Prakash

The effect of an electric field on conduction in a disordered system is an old but largely unsolved problem. Experiments cover an wide variety of systems - amorphous/doped semiconductors, conducting polymers, organic crystals, manganites,…

Disordered Systems and Neural Networks · Physics 2015-06-15 K. K. Bardhan , D. Talukdar , U. N. Nandi , C. D. Mukherjee

Dynamics of a polymer chain in solution gets significantly affected by the temperature and the frictional forces arising due to solvent viscosity. Here, using an explicit solvent framework for polymer simulation with the liberty to tune the…

Soft Condensed Matter · Physics 2024-09-11 Suman Majumder , Henrik Christiansen , Wolfhard Janke

We investigate several scaling properties of a translocating homopolymer through a thin pore driven by an external field present inside the pore only using Langevin Dynamics (LD) simulation in three dimension (3D). Specifically motivated by…

We perform molecular-dynamics simulations for polymer melts of the coarse-grained polyvinyl alcohol model that crystallizes upon slow cooling. To establish the properties of its high temperature liquid state as a reference point, we…

Soft Condensed Matter · Physics 2018-11-14 Sara Jabbari-Farouji

Macromolecular solubility in solvent mixtures often exhibit striking and paradoxical nature. For example, when two well miscible poor solvents for a given polymer are mixed together, the same polymer may swell within intermediate mixing…

Soft Condensed Matter · Physics 2018-02-07 Debashish Mukherji , Carlos M. Marques , Torsten Stuehn , Kurt Kremer

We consider a model of a polymer in $\mathbb{Z}^{d+1}$, constrained to join 0 and a hyperplane at distance $N$. The polymer is subject to a quenched nonnegative random environment. Alternatively, the model describes crossing random walks in…

Probability · Mathematics 2012-04-11 Dmitry Ioffe , Yvan Velenik

In Part I of this contribution, a systematic coarse-grained description of the dynamics of a weakly-bending semiflexible polymer was developed. Here, we discuss analytical solutions of the established deterministic partial…

Soft Condensed Matter · Physics 2007-12-04 Oskar Hallatschek , Erwin Frey , Klaus Kroy

We consider the statistical mechanics of a random polymer with random walks and disorders in $\mathbb{Z}^d$. The walk collects random disorders along the way and gets nothing if it visits the same site twice. In the continuum and weak…

Probability · Mathematics 2019-02-14 Chien-Hao Huang

We consider three different continuum polymer models, that all depend on a tunable parameter r that determines the strength of the excluded-volume interactions. In the first model chains are obtained by concatenating hard spherocylinders of…

Soft Condensed Matter · Physics 2017-10-25 Giuseppe D'Adamo , Andrea Pelissetto

A theoretical model is developed for predicting dynamic polymer depletion effects under the influence of fluid flow. The results are established by combining the two-fluid model and the self-consistent field theory. We consider a uniform…

Soft Condensed Matter · Physics 2012-08-02 Takashi Taniguchi , Yuichiro Arai , Remco Tuinier , Tai-Hsi Fan
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