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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

We present large-scale molecular dynamics simulations for a coarse-grained model of polymer melts in equilibrium. From detailed Rouse mode analysis we show that the time-dependent relaxation of the autocorrelation function (ACF) of modes…

Soft Condensed Matter · Physics 2017-04-26 Hsiao-Ping Hsu , Kurt Kremer

We considered a dsDNA polymer in which distribution of bases are random at the base pair level but ordered at a length of 18 base pairs and calculated its force elongation behaviour in the constant extension ensemble. The unzipping force…

Soft Condensed Matter · Physics 2007-05-23 Navin Singh , Yashwant Singh

Generalization of the Rouse model without any use of the postulates concerning the Gaussian distribution of the vector connecting the ends of segments is advanced. In the initial (in general, nonlinear) Langevin equations, self-averaging…

Soft Condensed Matter · Physics 2016-11-27 Nail Fatkullin

DNA toroids are compact torus-shaped bundles formed by one or multiple DNA molecules being condensed from the solution due to various condensing agents. It has been shown that the DNA toroidal bundles are twisted. However, the global…

Soft Condensed Matter · Physics 2025-04-01 Nhung T. T. Nguyen , Anh T. Ngo , Trinh X. Hoang

Self-assembled linear structures like giant cylindrical micelles or discotic molecules in solution stacked in flexible columns are systems reminiscent of polydisperse polymer solutions.These supramolecular polymers have an equilibrium…

Soft Condensed Matter · Physics 2015-06-25 C-C Huang , H. Xu , F. Crevel , J. Wittmer , J. -P. Ryckaert

We present a Brownian dynamics theory with full hydrodynamics (Stokesian dynamics) for a Gaussian polymer chain embedded in a liquid membrane which is surrounded by bulk solvent and walls. The mobility tensors are derived in Fourier space…

Soft Condensed Matter · Physics 2011-04-04 Sanoop Ramachandran , Shigeyuki Komura , Kazuhiko Seki , Gerhard Gompper

Polymer chains with hard-core interaction on a two-dimensional lattice are modeled by directed random walks. Two models, one with intersecting walks (IW) and another with non-intersecting walks (NIW) are presented, solved and compared. The…

Condensed Matter · Physics 2016-08-31 G. Forgacs , K. Ziegler

Polymers near the glass transition temperature Tg often exhibit a breakdown of time-temperature-superposition (TTS), with chain relaxation times and viscosity exhibiting a weaker temperature dependence than segmental relaxation times. The…

Soft Condensed Matter · Physics 2024-03-05 Peijing Yue , David S. Simmons

While the statistical mechanical description of DNA has a long tradition, renewed interest in DNA melting from a physics perspective is nourished by measurements of the fluctuation dynamics of local denaturation bubbles by single molecule…

Biomolecules · Quantitative Biology 2009-11-13 Tobias Ambjornsson , Suman K. Banik , Oleg Krichevsky , Ralf Metzler

Polymer architecture plays critical roles in both bulk rheological properties and microscale macromolecular dynamics in entangled polymer solutions and composites. Ring polymers, in particular, have been the topic of much debate due to the…

Soft Condensed Matter · Physics 2022-02-07 Pawan Khanal , Karthik R Peddireddy , Juexin Marfai , Ryan McGorty , Rae M Robertson-Anderson

We investigate the Rouse dynamics of a flexible ring polymer with a prime knot. Within a Monte Carlo approach, we locate the knot, follow its diffusion, and observe the fluctuations of its length. We characterise a topological time scale,…

Statistical Mechanics · Physics 2007-05-23 Enzo Orlandini , Attilio L. Stella , Carlo Vanderzande , Francesco Zonta

Although the non-equilibrium behaviour of polymer solutions is generally well understood, particularly in extensional flow, there remain several unanswered questions for dilute solutions in simple shear flow, and full quantitative agreement…

Soft Condensed Matter · Physics 2024-06-19 I. Pincus , A. Rodger , J. Ravi Prakash

We use lattice-Boltzmann molecular dynamics (LBMD) simulations to study the compression of a confined polymer immersed in a fluid and pushed by a large spherical colloid with a diameter comparable to the channel width. We examined the…

Soft Condensed Matter · Physics 2024-06-24 Setarehalsadat Changizrezaei , Mikko Karttunen , Colin Denniston

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

A simple analytic expression for the first cumulant of the dynamic structure factor of a polymer coil in the Rouse model is derived. The obtained formula is exact within the usual assumption of the continuum distribution of beads along the…

Soft Condensed Matter · Physics 2007-09-27 V. Lisy , B. Brutovsky , J. Tothova

In this paper a lattice model for the diffusional transport of particles in the interphase cell nucleus is proposed. The dynamic behaviour of single chains on the lattice is investigated and Rouse scaling is verified. Dynamical dense…

Biological Physics · Physics 2015-05-13 Annika Wedemeier , Holger Merlitz , Chen-Xu Wu , Jörg Langowski

In this topical review, we give an overview of the structure and dynamics of a single polymer chain in active baths, Gaussian or non-Gaussian. The review begins with the discussion of single flexible or semiflexible linear polymer chains…

Soft Condensed Matter · Physics 2022-11-28 Koushik Goswami , Subhasish Chaki , Rajarshi Chakrabarti

It has been recently shown that the phase space trajectories for the anomalous dynamics of a tagged monomer of a polymer --- for single polymeric systems such as phantom Rouse, self-avoiding Rouse, Zimm, reptation, and translocation through…

Soft Condensed Matter · Physics 2011-02-22 Debabrata Panja

A discrete nonlinear Schrodinger (NLS) model with long-range dispersive interactions describing the dynamical structure of DNA is proposed. Dispersive interactions of two types: the power dependence $r^{-s}$ and the exponential dependence…