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We study the dynamics of a dilute solution of rigid rodlike polymers in a viscous fluid at low Reynolds number by means of numerical simulations of a simple rheological model. We show that the rotational dynamics of polymers destabilizes…

Fluid Dynamics · Physics 2022-11-11 Leonardo Puggioni , Guido Boffetta , Stefano Musacchio

This study deals with continuous limits of interacting one-dimensional diffusive systems, arising from stochastic distortions of discrete curves with various kinds of coding representations. These systems are essentially of a…

Statistical Mechanics · Physics 2011-09-09 Guy Fayolle , Cyril Furtlehner

We present fully atomistic Molecular Dynamics simulation results on a main-chain polymer, 1,4-Polybutadiene, in the merging region of the $\alpha$- and $beta$-relaxations. A real space analysis reveals the occurrence of localized motions…

Soft Condensed Matter · Physics 2015-06-25 Juan Colmenero , Arturo Narros , Fernando Alvarez , Arantxa Arbe , Angel J. Moreno

Twist stiffness and an asymmetric bending stiffness of a polymer or a polymer bundle is captured by the elastic ribbon model. We investigate the effects a ring geometry induces to a thermally fluctuating ribbon, finding bend-bend coupling…

Biomolecules · Quantitative Biology 2008-02-07 Karen Alim , Erwin Frey

We study the motion of test particles around a center of attraction represented by a monopole (with and without spheroidal deformation) surrounded by a ring, given as a superposition of Morgan & Morgan discs. We deal with two kinds of…

Earth and Planetary Astrophysics · Physics 2012-09-24 Javier Ramos-Caro , Juan F. Pedraza , Patricio S. Letelier

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 investigate the dynamics of the quantum Ising model on two-dimensional square lattices up to $16 \times 16$ spins. In the ordered phase, the model is predicted to exhibit dynamically constrained dynamics, leading to confinement of…

Quantum Physics · Physics 2025-04-29 Luka Pavešić , Daniel Jaschke , Simone Montangero

Inspired by recent experiments on chromosomal dynamics, we introduce an exactly solvable model for the interaction between a flexible polymer and a set of motor-like enzymes. The enzymes can bind and unbind to specific sites of the polymer…

Soft Condensed Matter · Physics 2019-04-03 Stefanie Put , Takahiro Sakaue , Carlo Vanderzande

Soft glassy materials often consist of deformable objects. Here, we use a two-dimensional assembly of semi-flexible ring polymers as a model system to investigate how polydispersity in particle stiffness or size influences the onset of…

Soft Condensed Matter · Physics 2025-09-25 Rahul Nayak , Pinaki Chaudhuri , Satyavani Vemparala

A class of trigonometric integrator is proposed for the constrained ring polymer Hamiltonian dynamics, arising from the path integral molecular dynamics. The integrator is formulated by the composition of flows, thereby integrating the…

Quantum Physics · Physics 2016-01-05 Yunfeng Xiong

Polymer dynamics is analyzed through the lens of linear dimensionality reduction methods, in particular principal (PCA) and time-lagged independent component analysis (tICA). For a polymer undergoing ideal Rouse dynamics, the slow modes…

Soft Condensed Matter · Physics 2025-08-12 Phillip Bement , Joerg Rottler

The phase-space volume of regions of regular or trapped motion, for bounded or scattering systems with two degrees of freedom respectively, displays universal properties. In particular, drastic reductions in the volume (gaps) are observed…

Chaotic Dynamics · Physics 2008-01-14 L. Benet , O. Merlo

Dynamical properties of a long polymer ring in a melt of unknotted and unconcatenated rings are calculated. We re-examine and generalize the well known model of a ring confined to a lattice of topological obstacles in the light of the…

Soft Condensed Matter · Physics 2015-06-22 Jan Smrek , Alexander Y. Grosberg

We investigate the conformational and dynamical properties of a partially active Rouse chain, where activity is localized within a specific segment, positioned at various locations along the chain and spanning any given length. Through…

Soft Condensed Matter · Physics 2024-12-06 Koushik Goswami , Norman Hsia , Cheng-Hung Chang , Hong-Yan Shih

In reconstituting k-mer models, extended objects which occupy several sites on a one dimensional lattice, undergo directed or undirected diffusion, and reconstitute -when in contact- by transferring a single monomer unit from one k-mer to…

Statistical Mechanics · Physics 2016-08-02 Amit Kumar Chatterjee , Bijoy Daga , P. K. Mohanty

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 study the dynamics of two bodies moving on elliptic Keplerian orbits around a fixed center of attraction and interacting only by means of elastic or inelastic collisions. We show that there exists a bounded invariant region: for suitable…

Dynamical Systems · Mathematics 2014-08-05 Dario Benedetto , Flavia Lenti

Diffusion of a penetrating liquid in a polymeric material does not often satisfy the classical diffusion equations and requires taking relaxational (viscoelastic) properties of the polymer into account. We investigate a boundary value…

Analysis of PDEs · Mathematics 2015-05-14 Dmitry A. Vorotnikov

The effects of entanglement in solutions and melts of unknotted ring polymers have been addressed by several theoretical and numerical studies. The system properties have been typically profiled as a function of ring contour length at fixed…

Soft Condensed Matter · Physics 2011-11-29 Angelo Rosa , Enzo Orlandini , Luca Tubiana , Cristian Micheletti

Quantum dynamics of a particle confined in a box with time-dependent wall is revisited by considering some unexplored aspects of the problem. In particular, the case of dynamical confinement in a time-dependent box in the presence of purely…

Quantum Physics · Physics 2024-08-08 S. Rakhmanov , C. Trunk , D. Matrasulov
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