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Related papers: Dynamics of linear polymers in random media

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We develop a unified scaling framework for the end-position distributions of tethered polymers confined in finite cylindrical geometries. Two observables are analysed: the longitudinal distribution P(x), along the confinement axis, and the…

Soft Condensed Matter · Physics 2025-12-16 Bibhatsu Kuiri , Rittwick Mondal , Dipankar Biswas , Soumyajyoti Kabi

Sinai's model of diffusion in one-dimension with random local bias is studied by a real space renormalization group which yields asymptotically exact long time results. The distribution of the position of a particle and the probability of…

Condensed Matter · Physics 2009-10-30 Daniel Fisher , Pierre Le Doussal , Cecile Monthus

The nonequilibrium structural and dynamical properties of semiflexible active polar polymers subject to linear flow are studied by numerical simulations. Filaments are confined in two dimensions and immersed in a fluid described by the…

Soft Condensed Matter · Physics 2026-04-23 A. Lamura , R. G. Winkler

We consider how active forces modeled as non-thermal random noise affect the average dynamical properties of a Rouse polymer. As the power spectrum of the noise is not known we keep the analytical treatment as generic as possible and then…

Statistical Mechanics · Physics 2017-05-23 Dino Osmanovic , Yitzhak Rabin

We investigate the Brownian diffusion of particles in one spatial dimension and in the presence of finite regions within which particles can either evaporate or be reset to a given location. For open boundary conditions, we highlight the…

Statistical Mechanics · Physics 2020-11-04 Gennaro Tucci , Andrea Gambassi , Shamik Gupta , Édgar Roldán

Local chain structure and local environment play an important role in the dynamics of polymer chains in miscible blends. In general, the friction coefficients that describe the segmental dynamics of the two components in a blend differ from…

Soft Condensed Matter · Physics 2009-11-11 Jutta Luettmer-Strathmann , Manjeera Mantina

Unconcatenated, unknotted polymer rings in the melt are subject to strong interactions with neighboring chains due to the presence of topological constraints. We study this by computer simulation using the bond-fluctuation algorithm for…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , J. P. Wittmer , M. E. Cates

We present a novel and rigorous approach to the Langevin dynamics of ideal polymer chains subject to internal distance constraints. The permanent constraints are modelled by harmonic potentials in the limit when the strength of the…

Soft Condensed Matter · Physics 2009-10-28 M. P. Solf , T. A. Vilgis

We demonstrate that diffusively coupled limit-cycle oscillators on random networks can exhibit various complex dynamical patterns. Reducing the system to a network analog of the complex Ginzburg-Landau equation, we argue that uniform…

Pattern Formation and Solitons · Physics 2009-04-06 Hiroya Nakao , Alexander S. Mikhailov

Quasielastic neutron scattering and molecular dynamics simulation data from PEO/PMMA blends found that for short times the self-dynamics of PEO chain follows the Rouse model, but at longer times past tc=1 to 2 ns it becomes slower and…

Soft Condensed Matter · Physics 2011-09-21 K. L. Ngai , Limin Wang

We link the Brownian non-Gaussian diffusion of a polymer center of mass to a microscopic cause: the polymerization/depolymerization phenomenon occurring when the polymer is in contact with a monomer chemostat. The anomalous behavior is…

Statistical Mechanics · Physics 2022-02-04 Sankaran Nampoothiri , Enzo Orlandini , Flavio Seno , Fulvio Baldovin

We present a unified scaling description for the dynamics of monomers of a semiflexible chain under good solvent condition in the free draining limit. We consider both the cases where the contour length $L$ is comparable to the persistence…

Biological Physics · Physics 2015-06-18 Aiqun Huang , Aniket Bhattacharya , Kurt Binder

Based on the analogy with the quantum mechanics of a particle propagating in a {\em complex} potential, we develop a field-theoretical description of the statistical properties of a self-avoiding polymer chain in a random environment. We…

Statistical Mechanics · Physics 2008-11-26 A. V. Izyumov , K. V. Samokhin

The structure of flexible polymers endgrafted in cylindrical pores of diameter D is studied as a function of chain length N and grafting density \sigma, assuming good solvent conditions. A phenomenological scaling theory, describing the…

Soft Condensed Matter · Physics 2009-11-11 D. I. Dimitrov , A. Milchev , K. Binder

The literature on self- and tracer- diffusion of polymers in solution, and on tracer diffusion of probe polymers through solutions of matrix polymers, is reviewed. I show via systematic reanalysis that the entirety of the published…

Soft Condensed Matter · Physics 2009-09-29 George D. J. Phillies

Talk presented at the International Conference on Mathematical Physics (Brisbane 1997). This is an introduction to recent work on the scaling and intermittency in forced Burgers turbulence. The mapping between Burgers' equation and the…

Statistical Mechanics · Physics 2007-05-23 M. Mezard

Diffusion constants D_{R} and D_{L} of ring and linear polymers of the same molecular weight in a good solvent, respectively, have been evaluated through the Brownian dynamics with hydrodynamic interaction. The ratio $C=D_{R}/D_{L}$, which…

Soft Condensed Matter · Physics 2009-11-13 Naoko Kanaeda , Tetsuo Deguchi

Diffusion properties of a self-avoiding polymer embedded in regularly distributed obstacles with spacing a=20 and confined in two dimensions is studied numerically using the extended bond fluctuation method which we have developed recently.…

Soft Condensed Matter · Physics 2009-10-31 Ryuzo Azuma , Hajime Takayama

We investigate the anomalous dynamics of unentangled polymer melts. The proposed equation of motion formally relates the anomalous center-of-mass diffusion, as observed in computer simulations and experiments, to the nature of the effective…

Statistical Mechanics · Physics 2009-11-07 M. Guenza

The effect of ambient disorders and sequence heterogeneities on the reptation of a long polymer is studied with the aid of a disordered tube model. The dynamics of a random heteropolymer is found to be much slower than that of a homopolymer…

Soft Condensed Matter · Physics 2009-10-30 D. Cule , T. Hwa