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We present a Generalized Langevin Equation for the dynamics of interacting semiflexible polymer chains, undergoing slow cooperative dynamics. The calculated Gaussian intermolecular center-of-mass and monomer potentials, wich enter the GLE,…

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

Polydispersity is inevitable in industrially produced polymers. Established theories of polymer dynamics and rheology, however, were mostly built on monodisperse linear polymers. Dynamics of polydisperse polymers is yet to be fully explored…

Soft Condensed Matter · Physics 2021-06-29 Oluseye Adeyemi , Shiping Zhu , Li Xi

We present molecular dynamics simulations of a simple model for polymer melts with intramolecular barriers. We investigate structural relaxation as a function of the barrier strength. Dynamic correlators can be consistently analyzed within…

Soft Condensed Matter · Physics 2009-11-13 Marco Bernabei , Angel J. Moreno , Juan Colmenero

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

We study the long-range directed polymer model on $\mathbbm{Z}$ in a random environment, where the underlying random walk lies in the domain of attraction of an $\alpha$-stable process for some $\alpha\in(0,2]$. Similar to the more classic…

Probability · Mathematics 2016-11-24 Ran Wei

It has been established that the entangled polymer dynamics can be reasonably described by single chain models such as tube and slip-link models. Although the entanglement effect is a result of the hard-core interaction between chains,…

Soft Condensed Matter · Physics 2015-06-11 Takashi Uneyama , Yuichi Masubuchi

A soft ellipsoid model for Gaussian polymer chains is studied, following an idea proposed by Murat and Kremer [J. Chem. Phys. 108, 4340 (1998)]. In this model chain molecules are mapped onto ellipsoids with certain shapes, and to each shape…

Soft Condensed Matter · Physics 2009-10-31 Frank Eurich , Philipp Maass

The dynamics of a heteropolymer chain in solution is studied in the limit of long chain length. Using functional integral representation we derive an effective equation of motion, in which the heterogeneity of the chain manifests itself as…

Condensed Matter · Physics 2009-10-28 Jiunn-Ren Roan , E. I. Shakhnovich

We develop a new quantitative molecular theory of liquid-phase dipolar polymer gels. We model monomer units of the polymer network as a couple of charged sites separated by a fluctuating distance. For the first time, within the random phase…

Soft Condensed Matter · Physics 2021-03-09 Yury A. Budkov , Nikolai N. Kalikin , Andrei L. Kolesnikov

We study the dynamics and conformation of polymers composed by active monomers. By means of Brownian dynamics simulations we show that when the direction of the self-propulsion of each monomer is aligned with the backbone, the polymer…

Soft Condensed Matter · Physics 2018-11-28 Valentino Bianco , Emanuele Locatelli , Paolo Malgaretti

Dynamics of spreading of small droplets on surfaces has been studied by the molecular dynamics method. Simulations have been performed for mixtures of solvent and dimer, and solvent and tetramer droplets. For solvent particles and dimers,…

Condensed Matter · Physics 2009-10-22 J. A. Nieminen , T. Ala- Nissila

The consequences of rotational invariance in a recent theory of fluctuations in dilute polymer nematics are explored. A correct rotationally invariant free energy insures that anomalous couplings are not generated in a one-loop…

Condensed Matter · Physics 2009-10-22 Randall D. Kamien , Pierre Le Doussal , David R. Nelson

We consider a reaction-diffusion system which may serve as a model for a ferment catalytic reaction in chemistry. The model consists of a system of reaction diffusion equations with unbounded time dependent coefficients and different…

Analysis of PDEs · Mathematics 2022-06-14 Mohamed Majdoub , Nasser-eddine Tatar

Understanding the complex viscoelastic properties of polymeric liquids remains a challenge in materials science and soft matter physics. Here, we present a simple and computationally efficient criterion for the topological constraints in…

Soft Condensed Matter · Physics 2007-05-23 P. Nikunen , I. Vattulainen , M. Karttunen

The longitudinal response of single semiflexible polymers to sudden changes in externally applied forces is known to be controlled by the propagation and relaxation of backbone tension. Under many experimental circumstances, realized, e.g.,…

Soft Condensed Matter · Physics 2011-02-25 Florian Thüroff , Benedikt Obermayer , Erwin Frey

We develop a microscopic theory of thermalisation for a thermometer coupled to a many-body bath beyond standard Markovian and Fermi-golden-rule assumptions. By modeling interaction matrix elements in the non-interacting basis as independent…

Disordered Systems and Neural Networks · Physics 2026-03-13 Aleksey Lunkin

Pattern formation exhibited by a two-dimensional reaction-diffusion system in the fast inhibitor limit is considered from the point of view of interface motion. A dissipative nonlocal equation of motion for the boundary between high and low…

Condensed Matter · Physics 2009-10-22 Dean M. Petrich , Raymond E. Goldstein

Reptation governs motion of long polymers through a confining environment. Slack enters at the ends and diffuses along the polymer as stored length. The rate at which stored length diffuses limits the speed at which the chain can drift.…

Soft Condensed Matter · Physics 2015-06-25 M. Widom , I. Al-Lehyani

The reaction-diffusion models have been extensively applied to explain the mechanism of pattern formations in early embryogenesis based on geometrically confined microtissues consisting of human pluripotent stem cells. Recently, mechanical…

Biological Physics · Physics 2022-11-22 Tiankai Zhao , Hongyan Yuan

The theory of the dynamics of polymers in solution is developed coming from the hydrodynamic theory of the Brownian motion (BM) and the Rouse-Zimm (RZ) model. It is shown that the time correlation functions describing the polymer motion…

Soft Condensed Matter · Physics 2007-05-23 V. Lisy , J. Tothova , B. Brutovsky , A. V Zatovsky