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We present a tube model for the Brownian dynamics of associating polymers in extensional flow. In linear response, the model confirms the analytical predictions for the sticky diffusivity by Leibler- Rubinstein-Colby theory. Although a…

Soft Condensed Matter · Physics 2021-02-10 Charley Schaefer , Tom C. B. McLeish

Considering the dynamics of a polymer with finite extensibility placed in a chaotic flow with large mean shear, we explain how the statistics of polymer extension changes with Weissenberg number, ${\it Wi}$, defined as the product of the…

Statistical Mechanics · Physics 2007-05-23 M. Chertkov , I. Kolokolov , V. Lebedev , K. Turitsyn

High molecular weight polymer solutions have a powerful tendency to deposit adsorbed layers when exposed to even mildly attractive surfaces. The equilibrium properties of these dense interfacial layers have been extensively studied…

Soft Condensed Matter · Physics 2007-05-23 Ben O'Shaughnessy , Dimitrios Vavylonis

The Langevin equation is a common tool to model diffusion at a single-particle level. In non-homogeneous environments, such as aqueous two-phase systems or biological condensates with different diffusion coefficients in different phases,…

We study the relation between flow structure and fluid deformation in steady two-dimensional random flows. Beyond the linear (shear flow) and exponential (chaotic flow) elongation paradigms, we find a broad spectrum of stretching behaviors,…

Fluid Dynamics · Physics 2016-08-25 Marco Dentz , Daniel R. Lester , Tanguy Le Borgne , Felipe P. J. de Barros

The aim of this work is understanding the stretching mechanism of stochastic models of turbulence acting on a simple model of dilute polymers. We consider a turbulent model that is white noise in time and activates frequencies in a shell…

Probability · Mathematics 2024-11-22 Franco Flandoli , Yassine Tahraoui

Viscoelastic flows are pervasive in a host of natural and industrial processes, where the emergence of nonlinear and time-dependent dynamics regulate flow resistance, energy consumption, and particulate dispersal. Polymeric stress induced…

Fluid Dynamics · Physics 2023-02-22 Manish Kumar , Jeffrey S. Guasto , Arezoo M. Ardekani

Inspired by problems in biochemical kinetics, we study statistical properties of an overdamped Langevin process whose friction coefficient depends on the state of a similar, unobserved process. Integrating out the latter, we derive the long…

Statistical Mechanics · Physics 2009-08-13 Golan Bel , Ilya Nemenman

The non-equilibrium self-consistent generalized Langevin equation theory of irreversible processes in liquids is extended to describe the positional and orientational thermal fluctuations of the instantaneous local concentration profile…

Soft Condensed Matter · Physics 2016-05-17 E. C. Cortes-Morales , L. F. Elizondo-Aguilera , M. Medina-Noyola

Most of the theoretical models describing the translocation of a polymer chain through a nanopore use the hypothesis that the polymer is always relaxed during the complete process. In other words, models generally assume that the…

Biomolecules · Quantitative Biology 2009-11-13 Michel G. Gauthier , Gary W. Slater

The conditions of multi-phase equilibrium are solved for generic polydisperse systems. The case of multiple polydispersity is treated, where several properties (e.g. size, charge, shape) simultaneously vary from one particle to another. By…

Statistical Mechanics · Physics 2009-10-31 R. M. L. Evans

Polymer translocation in crowded environments is a ubiquitous phenomenon in biological systems. We studied polymer translocation through a pore in free, one-sided (asymmetric), and two-sided (symmetric) crowded environments. Extensive…

Soft Condensed Matter · Physics 2024-03-01 Vrinda Garg , Rejoy Mathew , Riyan Ibrahim , Kulveer Singh , Surya K. Ghosh

We study the relaxation of a single colloidal sphere which is periodically driven between two nonequilibrium steady states. Experimentally, this is achieved by driving the particle along a toroidal trap imposed by scanned optical tweezers.…

Soft Condensed Matter · Physics 2015-05-13 Valentin Blickle , Jakob Mehl , Clemens Bechinger

The Langevin dynamics of a random heteropolymer and its dynamic glass transition are studied using elementary mode coupling theory. Contrary to recent reports using a similar framework, a discontinuous ergodic-nonergodic phase transition is…

Statistical Mechanics · Physics 2009-10-30 Shoji Takada , John J. Portman , Peter G. Wolynes

One-dimensional non-equilibrium models of particles subjected to a coagulation-diffusion process are important in understanding non-equilibrium dynamics, and fluctuation-dissipation relation. We consider in this paper transport properties…

Statistical Mechanics · Physics 2015-06-18 Jean-Yves Fortin

Nonequilibrium steady states in an open system connecting two reservoirs of platelike colloidal particles are investigated by means of a recently proposed phenomenological dynamic density functional theory [M. Bier and R. van Roij, Phys.…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Rene van Roij

An infinite hierarchy of layering transitions exists for model polymers in solution under poor solvent or low temperatures and near an attractive surface. A flat histogram stochastic growth algorithm known as FlatPERM has been used on a…

Statistical Mechanics · Physics 2009-11-10 J. Krawczyk , A. L. Owczarek , T. Prellberg , A. Rechnitzer

The shape of a polymer plays an important role in determining its interactions with other molecules and with the environment, and is in turn affected by both of them. As a consequence, in the literature the shape properties of a chain in…

Soft Condensed Matter · Physics 2017-07-26 Alberto S. Sassi , Salvatore Assenza , Paolo De Los Rios

We review the depinning and nonequilibrium phases of collectively interacting particle systems driven over random or periodic substrates. This type of system is relevant to vortices in type-II superconductors, sliding charge density waves,…

Superconductivity · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

We study relaxation dynamics of a three dimensional elastic manifold in random potential from a uniform initial condition by numerically solving the Langevin equation.We observe growth of roughness of the system up to larger wavelengths…

Disordered Systems and Neural Networks · Physics 2009-03-19 Tomoaki Nogawa , Koji Nemoto , Hajime Yoshino