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Related papers: Self and Tracer Diffusion of Polymers in Solution

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We analyze the transport properties of a neutral tracer in a carrier fluid flowing through percolation-like porous media with spatial correlations. We model convection in the mass transport process using the velocity field obtained by the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hernan A. Makse , Jose S. Andrade , H. Eugene Stanley

The paper addresses the single-file diffusion in the presence of an absorbing boundary. The emphasis is on an interplay between the hard-core interparticle interaction and the absorption process. The resulting dynamics exhibits several…

Statistical Mechanics · Physics 2014-02-26 Artem Ryabov , Petr Chvosta

Living cells are characterized by the micrometric confinement of various macromolecules at high concentrations. Using droplets containing binary polymer blends as artificial cells, we previously showed that cell-sized confinement causes…

We consider a linear polymer chain in a disordered environment modeled by percolation clusters on a square lattice. The disordered environment is meant to roughly represent molecular crowding as seen in cells. The model may be viewed as the…

Statistical Mechanics · Physics 2015-05-13 Amit Raj Singh , Debaprasad Giri , Sanjay Kumar

We solve the Chapman-Kolmogorov equation and study the exact splitting probabilities of the general stochastic process which describes polymer translocation through membrane pores within the broad class of Markov chains. Transition…

Statistical Mechanics · Physics 2015-05-19 Felipe Mondaini , L. Moriconi

We present a quantitative picture of the separation of star polymers in a solution where part of the volume is influenced by a porous medium. To this end, we study the impact of long-range-correlated quenched disorder on the entropy and…

Soft Condensed Matter · Physics 2009-11-11 V. Blavats'ka , C. von Ferber , Yu. Holovatch

We study conformations and dynamics of active star polymers. The analysis shows that active star polymers stretching behaviour is quite different from that of active linear chains. The visual inspection of conformations and bond-bond…

Soft Condensed Matter · Physics 2022-10-11 Prabha Chuphal , Vladimir V. Palyulin

We study diffusion of small light particles in a solvent which consists of large heavy particles. The intermolecular interactions are chosen to approximately mimic a water-sucrose (or water-polysaccharide) mixture. Both computer simulation…

Soft Condensed Matter · Physics 2009-11-10 Rajesh K. Murarka , Sarika Bhattacharyya , Biman Bagchi

The translocation dynamics of a polymer chain through a nanopore in the absence of an external driving force is analyzed by means of scaling arguments, fractional calculus, and computer simulations. The problem at hand is mapped on a one…

Soft Condensed Matter · Physics 2007-07-29 J. L. A. Dubbeldam , A. Milchev , V. G. Rostiashvili , T. A. Vilgis

We investigate by means of a number of different dynamical Monte Carlo simulation methods the self-assembly of equilibrium polymers in dilute, semidilute and concentrated solutions under good-solvent conditions. In our simulations, both…

Statistical Mechanics · Physics 2009-10-31 J. P. Wittmer , P. van der Schoot , A. Milchev , J. -L. Barrat

We report the results of extensive Dynamic Monte Carlo simulations of systems of self-assembled Equilibrium Polymers without rings in good solvent. Confirming recent theoretical predictions, the mean-chain length is found to scale as $\Lav…

Soft Condensed Matter · Physics 2009-10-31 J. P. Wittmer , A. Milchev , M. E. Cates

Quantifying the correlations between the position of a tagged tracer and the density of surrounding bath particles is crucial for understanding tracer diffusion in interacting particle systems, and for characterizing the response properties…

Statistical Mechanics · Physics 2025-09-16 Davide Venturelli , Pierre Illien , Aurélien Grabsch , Olivier Bénichou

We study the passage (translocation) of a self-avoiding polymer through a membrane pore in two dimensions. In particular, we numerically measure the probability distribution Q(T) of the translocation time T, and the distribution P(s,t) of…

Statistical Mechanics · Physics 2009-02-12 Clément Chatelain , Yacov Kantor , Mehran Kardar

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

The mechanical properties of molecules are today captured by single molecule manipulation experiments, so that polymer features are tested at a nanometric scale. Yet devising mathematical models to get further insight beyond the commonly…

In this paper, we investigate a stochastic model describing the time evolution of a polymerization process. A polymer is a macro-molecule resulting from the aggregation of several elementary sub-units called monomers. Polymers can grow by…

Probability · Mathematics 2018-08-24 Philippe Robert , Wen Sun

Diffusion of symmetric diblock copolymer chains in macroscopically oriented lamellar block copolymers are studied in a molecular dynamics simulation. Results for diffusion constant both parallel $D_\parallel$ and perpendicular $D_\perp$ to…

Soft Condensed Matter · Physics 2008-02-03 Michael Murat , Gary S. Grest , Kurt Kremer

We investigate diffusion in a polydisperse granular media. We derive mean-squared displacement of granular particles in a polydisperse granular gas in a homogeneous cooling state, containing arbitrary amount of species of different sizes…

Soft Condensed Matter · Physics 2024-03-21 Anna S. Bodrova

We study the conformation and dynamics of a single polymer chain that is pulled by a constant force applied at its one end with the other end free. Such a situation is relevant to the growing technology of manipulating individual…

Soft Condensed Matter · Physics 2015-06-04 Takahiro Sakaue , Takuya Saito , Hirofumi Wada

We investigate the propagation of a suddenly applied tension along a thermally excited semi-flexible polymer using analytical approximations, scaling arguments and numerical simulation. This problem is inherently non-linear. We find…

Soft Condensed Matter · Physics 2009-10-28 Udo Seifert , Wolfgang Wintz , Philip Nelson