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Ring polymers exhibit unique flow properties due to their closed chain topology. Despite recent progress, we have not yet achieved a full understanding of the nonequilibrium flow behavior of rings in nondilute solutions where intermolecular…

We determine the density expansion of the radius of gyration, of the hydrodynamic radius, and of the end-to-end distance for a monodisperse polymer solution in good-solvent conditions. We consider the scaling limit (large degree of…

Statistical Mechanics · Physics 2007-05-23 Sergio Caracciolo , Bortolo Matteo Mognetti , Andrea Pelissetto

We investigate a diffusive motion of a system of interacting Brownian particles in quasi-one-dimensional micropores. In particular, we consider a semi-infinite 1D geometry with a partially absorbing boundary and the hard-core inter-particle…

Statistical Mechanics · Physics 2012-03-06 Artem Ryabov , Petr Chvosta

The swelling of the viscosity radius, $\alpha_\eta$, and the universal viscosity ratio, $U_{\eta R}$, have been determined experimentally for linear DNA molecules in dilute solutions with excess salt, and numerically by Brownian dynamics…

Soft Condensed Matter · Physics 2020-07-03 Sharadwata Pan , D. Ahirwal , Duc At Nguyen , T. Sridhar , P. Sunthar , J. Ravi Prakash

Nonlinear behavior of electro-osmosis in dilute non-adsorbing polymer solutions with low salinity is investigated with Brownian dynamics simulations and a kinetic theory. In the Brownian simulations, the hydrodynamic interaction between the…

Soft Condensed Matter · Physics 2015-06-19 Yuki Uematsu

Diffusion in bidisperse Brownian hard-sphere suspensions is studied by Stokesian Dynamics (SD) computer simulations and a semi-analytical theoretical scheme for colloidal short-time dynamics, based on Beenakker and Mazur's method [Physica…

Soft Condensed Matter · Physics 2015-05-06 Mu Wang , Marco Heinen , John F. Brady

Nonmagnetic particles in a carrier ferrofluid acquire an effective dipolar moment when placed in an external magnetic field. This fact leads them to form chains that will roughen due to Brownian motion when the magnetic field is decreased.…

Statistical Mechanics · Physics 2009-11-10 Renaud Toussaint , Geir Helgesen , Eirik G. Flekkøy

Using a generalized Rubinstein-Duke model we prove rigorously that kinematic disorder leaves the prediction of standard reptation theory for the scaling of the diffusion constant in the limit for long polymer chains $D \propto L^{-2}$…

Soft Condensed Matter · Physics 2009-11-10 R. D. Willmann , G. M. Schütz , K. Jain

An extended generalization of the dynamic random phase approximation (DRPA) for L-component polymer systems is presented. Unlike the original version of the DRPA, which relates the (LxL) matrices of the collective density-density time…

Soft Condensed Matter · Physics 2009-11-10 Igor Ya. Erukhimovich , Yaroslav V. Kudryavtsev

Brownian particles in random potentials show an extended regime of subdiffusive dynamics at intermediate times. The asymptotic diffusive behavior is often established at very long times and thus cannot be accessed in experiments or…

Soft Condensed Matter · Physics 2014-05-22 Richard D. L. Hanes , Michael Schmiedeberg , Stefan U. Egelhaaf

We calculate the short time and the long time diffusion coefficient of a spherical tracer particle in a polymer solution in the low density limit by solving the Smoluchowski equation for a two-particle system and applying a generalized…

Soft Condensed Matter · Physics 2015-05-13 Matthias Krüger , Markus Rauscher

We revisit the classical problem of a polymer confined in a slit in both of its static and dynamic aspects. We confirm a number of well known scaling predictions and analyse their range of validity by means of comprehensive Molecular…

We calculate the pair diffusion coefficient D(r) as a function of the distance r between two hard-sphere particles in a dense monodisperse suspension. The distance-dependent pair diffusion coefficient describes the hydrodynamic interactions…

Soft Condensed Matter · Physics 2012-07-31 Jeetain Mittal , Gerhard Hummer

We study the Brownian motion of a rigid rod threading through a small fixed ring while the ring can freely rotate. We derive the distribution function for the sliding displacement and the unit vector along the rod both at equilibrium and…

Soft Condensed Matter · Physics 2026-04-02 Zhongqiang Xiong , Shigeyuki Komura , Masao Doi

The general covariance of the diffusion equation is exploited in order to explore the curvature effects appearing on brownian motion over a d-dimensional curved manifold. We use the local frame defined by the so called Riemann normal…

Statistical Mechanics · Physics 2015-05-18 Pavel Castro-Villarreal

The random motion of a Brownian particle confined in some finite domain is considered. Quite generally, the relevant statistical properties involve infinite series, whose coefficients are related to the eigenvalues of the diffusion…

Statistical Mechanics · Physics 2010-04-26 Thomas Bickel

We investigate the static and dynamic properties of dendrimers diffusing through a network of linear associative polymers using coarse-grained Brownian dynamics simulations. Both dendrimers and network chains are modelled as bead-spring…

Soft Condensed Matter · Physics 2025-11-26 Silpa Mariya , Jeremy J. Barr , P. Sunthar , J. Ravi Prakash

Restrictions to molecular motion by barriers (membranes) are ubiquitous in biological tissues, porous media and composite materials. A major challenge is to characterize the microstructure of a material or an organism nondestructively using…

Soft Condensed Matter · Physics 2011-03-11 Dmitry S. Novikov , Els Fieremans , Jens H. Jensen , Joseph A. Helpern

We analyze the mean squared displacement of a Brownian particle in a medium with a spatially varying local diffusivity which is assumed to be periodic. When the system is asymptotically diffusive the mean squared displacement,…

Statistical Mechanics · Physics 2015-06-23 David S. Dean , Thomas Guérin

We perform Brownian dynamics simulations of active stiff polymers undergoing run-reverse dynamics, and so mimic bacterial swimming, in porous media. In accord with recent experiments of \emph{Escherichia coli}, the polymer dynamics are…

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