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Related papers: Preaveraging description of polymer nonequilibrium…

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We extend to nonequilibrium processes our recent theory for the long time dynamics of flexible chain molecules. While the previous theory describes the equilibrium motions for any bond or interatomic separation in (bio)polymers by time…

Soft Condensed Matter · Physics 2009-10-31 Wilfred H. Tang , Konstantin S. Kostov , Karl F. Freed

We describe some recent results concerning the statistical properties of a self-interacting polymer stretched by an external force. We concentrate mainly on the cases of purely attractive or purely repulsive self-interactions, but our…

Probability · Mathematics 2011-08-25 Dmitry Ioffe , Yvan Velenik

The dynamics of polymer melts at the crossover between unentagled and entangled regimes is formalized here through an extension of the Cooperative Dynamics Generalized Langevin Equation (CDGLE) (\textit{J. Chem. Phys.} 110,7574 (1999)), by…

Soft Condensed Matter · Physics 2024-12-19 M. G. Guenza

This paper reports the force spectroscopy analysis of a polymer that translocates from one side of a membrane to the other side through an extended pore, pulled by a cantilever that moves with constant velocity against the damping and the…

Soft Condensed Matter · Physics 2018-12-12 Alessandro Fiasconaro , Fernando Falo

The present study is based on a recent success of the second-order stochastic fluctuation theory in describing time autocorrelations of equilibrium and nonequilibrium physical systems. In particular, it was shown to yield values of the…

Statistical Mechanics · Physics 2017-08-23 Roman Belousov , E. G. D. Cohen , Lamberto Rondoni

We study the dynamics of a polymer when it is quenched from a $\theta$ solvent into a good or bad solvent by means of a Langevin equation. The variation of the radius of gyration is studied as a function of time. For the first stage of…

Soft Condensed Matter · Physics 2008-02-03 E. Pitard , H. Orland

Under many circumstances many soft and hard materials are present in a puzzling wealth of non-equilibrium amorphous states, whose properties are not stationary and depend on preparation. They are often summarized in unconventional "phase…

Soft Condensed Matter · Physics 2021-04-20 Jesús Benigno Zepeda-López , Magdaleno Medina-Noyola

An analytic, asymptotic approximation of the nonlinear steady-state equations for viscoelastic creeping flow, modeled by the Oldroyd-B equations with polymer stress diffusion, is derived. Near the extensional stagnation point the flow…

Fluid Dynamics · Physics 2016-01-14 Joseph A. Biello , Becca Thomases

By quantitative studies of statistics of polymer stretching in a random flow and of a flow field we demonstrate that the stretching of polymer molecules in a 3D random flow occurs rather sharply via the coil-stretch transition at the value…

Chaotic Dynamics · Physics 2009-11-10 S. Gerashchenko , C. Chevallard , V. Steinberg

Based on a modified expression of the rate of the convective constraint release, we present a new contour-variable model of constitutive equations in which the non-uniform segmental stretch and the non-Gaussian chain statistical treatment…

Fluid Dynamics · Physics 2009-08-03 Shuanhu Qi , Shuang Yang , Dadong Yan

Polymers in a turbulent flow are stretched out by the fluctuating velocity gradient; the stationary probability distribution function (p.d.f.) of extensions $R$ has a power-law tail with an exponent that increases with the Weissenberg…

Fluid Dynamics · Physics 2023-01-10 Jason R. Picardo , Emmanuel L. C. VI M. Plan , Dario Vincenzi

In this work an approximated path integral model describing the dynamics of a inextensible chain is presented. To this purpose, the nonlinear constraints which enforce the property of inextensibility of the chain are relaxed and are just…

Statistical Mechanics · Physics 2010-09-20 Franco Ferrari , Maciej Pyrka

Two phase picture is a simple and effective methodology to capture the nonequilibrium dynamics of polymer associated with tension propagation. When applying it to the driven translocation process, there is a point to be noted, as briefly…

Soft Condensed Matter · Physics 2012-11-26 Takuya Saito , Takahiro Sakaue

We investigate the crystallization of a single, flexible homopolymer chain using transition path sampling (TPS). The chain consists of N identical spherical monomers evolved according to Langevin dynamics. While neighboring monomers are…

Soft Condensed Matter · Physics 2016-08-17 Christian Leitold , Christoph Dellago

We study the relaxation of an elastic string in a two dimensional pinning landscape using Langevin dynamics simulations. The relaxation of a line, initially flat, is characterized by a growing length, $L(t)$, separating the equilibrated…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alejandro B. Kolton , A. Rosso , Thierry Giamarchi

This study deals with polymer looping, an important process in many chemical and biological systems. We investigate basic questions on the looping dynamics of a polymer under tension using the freely-jointed chain (FJC) model. Previous…

Statistical Mechanics · Physics 2024-10-03 Wout Laeremans , Anne Floor den Ouden , Jef Hooyberghs , Wouter G. Ellenbroek

Using the single-spin flipping dynamics, we study the nonequilibrium evolution near the entire phase boundary of the 3D Ising model, and find that the average of relaxation time (RT) near the first-order phase transition line (1st-PTL) is…

Statistical Mechanics · Physics 2024-03-13 Xiaobing Li , Yuming Zhong , Ranran Guo , Mingmei Xu , Yu Zhou , Jinghua Fu , Yuanfang Wu

The random-force (Larkin) model of a directed elastic string subject to quenched random forces in the transverse directions has been a paradigm in the statistical physics of disordered systems. In this brief note, we investigate a modified…

Soft Condensed Matter · Physics 2011-08-05 Panayotis Benetatos , Eugene M. Terentjev

We study the behavior of threads and polymers in a turbulent flow. These objects have finite spatial extension, so the flow along them differs slightly. The corresponding drag forces produce a finite average stretching and the thread is…

Chaotic Dynamics · Physics 2015-05-30 Itzhak Fouxon , Harald A. Posch

Spatially inhomogeneous shear flow occurs in entangled polymer solutions, both as steady state shear banding and transiently after a large step strain or during start up to a steady uniform shear rate. Steady state shear banding is a…

Soft Condensed Matter · Physics 2011-08-12 J. M. Adams , S. M. Fielding , P. D. Olmsted