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In this note we discuss the phase space of the O(2N) vector model in the presence of a quadratic and a quartic interaction by writing the large-N effective potential using large charge methods in dimensions 2<D<4 and 4<D<6. Based on a…

High Energy Physics - Theory · Physics 2022-03-09 Rafael Moser , Domenico Orlando , Susanne Reffert

We present an analytical and computational study characterizing the structural and dynamical properties of an active filament confined in cylindrical channels. We first outline the effects of the interplay between confinement and polar…

Soft Condensed Matter · Physics 2024-10-09 José Martín-Roca , Emanuele Locatelli , Valentino Bianco , Paolo Malgaretti , Chantal Valeriani

We present simulation results for single a-thermal chain polymers in finite volumes. For this we use a recently proposed recursive implementation of the enrichment method. In 3 dimensions it allows the simulation of extremely long chains…

Condensed Matter · Physics 2009-10-22 Peter Grassberger , Rainer Hegger

Effective interactions inherently encompass many-body effects that appear unified. Analyzing these in reverse, that is, separating them into contributions from pairs, triples, or larger groups, is typically intricate and seldom pursued.…

We analyze a generalization of the hard sphere dipole system in two dimensions in which the interaction range of the interaction can be varied. We focus on the system in the limit the interaction becomes increasingly short-ranged, while the…

Statistical Mechanics · Physics 2019-10-23 Nelia Mann

We investigate the chain conformation of ring polymers confined to a cylindrical nanochannel using both theoretical analysis and three dimensional Langevin dynamics simulations. We predict that the longitudinal size of a ring polymer scales…

Soft Condensed Matter · Physics 2012-12-06 Junfang Sheng , Kaifu Luo

A simple application of classical density functional theory is derived and applied to a system of polymers grafted to a plane. The system is assumed to have symmetry in directions parallel to the grafting plane hence it being a…

Soft Condensed Matter · Physics 2016-12-02 Luke Kristopher Davis

In fully developed three dimensional fluid turbulence the fluctuating energy is supplied at large scales, cascades through intermediate scales, and dissipates at small scales. It is the hallmark of turbulence that for intermediate scales,…

Fluid Dynamics · Physics 2013-01-09 Heng-Dong Xi , Eberhard Bodenschatz , Haitao Xu

The properties of semiflexible polymers tethered by one end to an impenetrable wall and exposed to oscillatory shear flow are investigated by mesoscale simulations. A polymer, confined in two dimensions, is described by a linear bead-spring…

Soft Condensed Matter · Physics 2021-12-14 Antonio Lamura , Roland G. Winkler , Gerhard Gompper

We investigate the properties of a system of semi-diluted polymers in the presence of charged groups and counter-ions, by means of self-consistent field theory. We study a system of polyelectrolyte chains grafted to a similarly, as well as…

Soft Condensed Matter · Physics 2015-05-19 Gabriele Migliorini

$O(N)$ invariant vector models have been shown to possess non-trivial scaling large $N$ limits, at least perturbatively within the loop expansion, a property they share with matrix models of 2D quantum gravity. In contrast with matrix…

High Energy Physics - Theory · Physics 2011-04-20 J. Zinn-Justin

We propose a simple friction model for isolated polymer chains on a solid substrate. The chains are pulled at constant velocity by one end, the other end can be trapped on the solid substrate on localised sites. We focus on the energy…

Soft Condensed Matter · Physics 2009-10-31 T. Charitat , J. F. Joanny

We analyze equilibrium properties and adsorption desorption phase transition behaviour of a linear semiflexible copolymer chain under constrained geometrical situation on square lattice in a good solvent. One dimensional stair shaped line…

Statistical Mechanics · Physics 2010-06-04 Pramod Kumar Mishra

A simple theory for glassy polymeric mechanical response which accounts for large scale chain relaxation is presented. It captures the crossover from perfect-plastic response to strong strain hardening as the degree of polymerization $N$…

Soft Condensed Matter · Physics 2015-05-18 Robert S. Hoy , Corey S. O'Hern

The structural properties of polymers adsorbed onto a surface have been widely investigated using self-consistent mean-field theories. Recently, analytical mean-field theories have been applied to study polymer adsorption on curved surfaces…

Soft Condensed Matter · Physics 2009-11-10 K. I. Skau , E. M. Blokhuis

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

Chain-like macromolecules (polymers) show characteristic adsorption properties due to their flexibility and internal degrees of freedom, when attracted to surfaces and interfaces. In this review we discuss concepts and features that are…

Soft Condensed Matter · Physics 2009-11-07 Roland Netz , David Andelman

A disorder-dependent Gaussian variational approach is applied to the problem of a $d$ dimensional polymer chain in a random medium (or potential). Two classes of variational solutions are obtained. For $d<2$, these two classes may be…

Condensed Matter · Physics 2009-10-28 T. Garel , H. Orland

Single three dimensional polymers confined to a slab, i.e. to the region between two parallel plane walls, are studied by Monte Carlo simulations. They are described by $N$-step walks on a simple cubic lattice confined to the region $1 \le…

Soft Condensed Matter · Physics 2009-11-10 Hsiao-Ping Hsu , Peter Grassberger

Although the stretching of polymers and biomolecules is important in numerous settings, their response when confined to two-dimensions is relatively poorly-studied. In this paper, we derive closed-form analytical expressions for the…

Soft Condensed Matter · Physics 2013-05-28 Sara Iliafar , Dmitri Vezenov , Anand Jagota
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