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The structural arrest of a polymeric suspension might be driven by an increase of the cross--linker concentration, that drives the gel transition, as well as by an increase of the polymer density, that induces a glass transition. These…

Statistical Mechanics · Physics 2014-06-20 Nagi Khalil , Antonio Coniglio , Antonio de Candia , Annalisa Fierro , Massimo Pica Ciamarra

We consider the passage of long polymers of length N through a hole in a membrane. If the process is slow, it is in principle possible to focus on the dynamics of the number of monomers s on one side of the membrane, assuming that the two…

Soft Condensed Matter · Physics 2009-11-10 Yacov Kantor , Mehran Kardar

We consider a model of a random copolymer at a selective interface which undergoes a localization/delocalization transition. In spite of the several rigorous results available for this model, the theoretical characterization of the phase…

Mathematical Physics · Physics 2007-05-23 F. Caravenna , G. Giacomin , M. Gubinelli

Polymer systems in slab geometries are studied on the basis of the recently presented Gaussian Ellipsoid Model [J. Chem. Phys. 114, 7655 (2001)].The potential of the confining walls has an exponential shape. For homogeneous systems in…

Soft Condensed Matter · Physics 2009-11-07 F. Eurich , P. Maass , J. Baschnagel

We study the transition time distribution for a particle moving between two wells of a multidimensional potential in the low-noise limit of overdamped Langevin dynamics. Possible transition paths are restricted to a thin tube surrounding…

Statistical Mechanics · Physics 2015-05-14 Sergey V. Malinin , Vladimir Y. Chernyak

Polymers in nonuniform flows undergo strong deformation, which in the presence of persistent stretching can result in the coil-stretch transition. This phenomenon has been characterized by using the formalism of nonequilibrium statistical…

Soft Condensed Matter · Physics 2023-05-24 Stefano Musacchio , Victor Steinberg , Dario Vincenzi

We study the depinning phase transition of a directed polymer in a $d$-dimensional space by a periodic potential localized on a straight line. We give exact formulas in all dimensions for the critical pinning we need to localize the…

Condensed Matter · Physics 2009-10-28 S. Galluccio , R. Graber

This study focuses on comparing the individual polymer chain dynamics in an entangled polymeric liquid under different shear and extension rates. Polymer chains under various shear rates and extension rates were simulated using a…

Chemical Physics · Physics 2021-01-15 Behrouz Behdani , Tong Mou , Cody Spratt , Slava Butcovich , Ryan Gettler , Joontaek Park

We study the steady-state low-temperature dynamics of an elastic line in a disordered medium below the depinning threshold. Analogously to the equilibrium dynamics, in the limit T->0, the steady state is dominated by a single configuration…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro B. Kolton , Alberto Rosso , Thierry Giamarchi , Werner Krauth

We consider the statics and dynamics of a flexible polymer confined between parallel plates both in the presence and absence of hydrodynamic interactions. The hydrodynamic interactions are described at the level of the fluctuating,…

Soft Condensed Matter · Physics 2012-11-01 Santtu T. T. Ollila , Colin Denniston , Mikko Karttunen , Tapio Ala-Nissila

The equilibrium behavior of binary mixtures can be understood through the competition of energy scales, which classifies their corresponding phase diagrams into distinct topological regimes (Types I-IV). However, in many soft-matter…

We consider an unpinned chain of harmonic oscillators with periodic boundary conditions, whose dynamics is perturbed by a random flip of the sign of the velocities. The dynamics conserves the total volume (or elongation) and the total…

Probability · Mathematics 2017-09-21 Tomasz Komorowski , Stefano Olla , Marielle Simon

The study of the noise induced effects on the dynamics of a chain molecule crossing a potential barrier, in the presence of a metastable state, is presented. A two-dimensional stochastic version of the Rouse model for a flexible polymer has…

Statistical Mechanics · Physics 2015-05-13 N. Pizzolato , A. Fiasconaro , B. Spagnolo

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

The effect of adding nonadsorbing polymer to a lamellar phase of surfactant bilayers is studied theoretically. We find that the polymer produces coexistence between two lamellar phases of different layer spacings. The coexistence region is…

Soft Condensed Matter · Physics 2008-02-03 Richard P. Sear

We develop a general analysis of the diffusive dynamics of polydisperse polymers in the presence of chemical potential gradients, within the context of the tube model (with all species entangled). We obtain a set of coupled dynamical…

Soft Condensed Matter · Physics 2009-11-07 I. Pagonabarraga , M. E. Cates

We study the dynamics of an ideal polymer chain in a crowded, viscoelastic medium and in the presence of active forces. The motion of the centre of mass and of individual monomers is calculated. On time scales that are comparable to the…

Soft Condensed Matter · Physics 2015-12-23 Hans Vandebroek , Carlo Vanderzande

We study a model of two polymers confined to a slit with sticky walls. More precisely, we find and analyse the exact solution of two directed friendly walks in such a geometry on the square lattice. We compare the infinite slit limit, in…

Statistical Mechanics · Physics 2015-06-19 Thomas Wong , Aleksander L. Owczarek , Andrew Rechnitzer

We present the exact solutions of various directed walk models of polymers confined to a slit and interacting with the walls of the slit via an attractive potential. We consider three geometric constraints on the ends of the polymer and…

Statistical Mechanics · Physics 2009-11-11 R Brak , A L Owczarek , A Rechnitzer , S G Whittington

Living and engineered systems rely on the stable coexistence of two interspersed liquid phases. Yet surface tension drives their complete separation. Here we show that stable droplets of uniform and tuneable size can be produced through…