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Chemical reactions inside cells are typically subject to the effects both of the cell's confining surfaces and of the viscoelastic behavior of its contents. In this paper, we show how the outcome of one particular reaction of relevance to…

Soft Condensed Matter · Physics 2015-06-04 Pinaki Bhattacharyya , Rati Sharma , Binny J. Cherayil

The Rouse-Ham model is a simple yet useful dynamics model for an unentangled branched polymer. In this work, we study the normal modes of the Rouse-Ham type coarse-grained symmetric star polymer model. We model a star polymer by connecting…

Soft Condensed Matter · Physics 2025-01-13 Takashi Uneyama

We compute the distribution of the work done in stretching a Gaussian polymer, made of N monomers, at a finite rate. For a one-dimensional polymer undergoing Rouse dynamics, the work distribution is a Gaussian and we explicitly compute the…

Statistical Mechanics · Physics 2009-11-10 Abhishek Dhar

Linear polymers are represented as chains of hopping reptons and their motion is described as a stochastic process on a lattice. This admittedly crude approximation still catches essential physics of polymer motion, i.e. the universal…

Statistical Mechanics · Physics 2015-05-18 J. M. J. van Leeuwen , Andrzej Drzewinski

We consider equilibrium relaxation properties of the end-to-end distance and of principal components in a one-dimensional polymer chain model with nonlinear interaction between the beads. While for the single-well potentials these…

Soft Condensed Matter · Physics 2015-05-13 S. Fugmann , I. M. Sokolov

Active polymers are driven out of equilibrium by internal forces and exhibit conformational properties that differ fundamentally from those of passive chains. Here we study how spatially modulated tangential activity reshapes the…

Soft Condensed Matter · Physics 2025-12-17 Paolo Malgaretti , Emanuele Locatelli

We study the bead-spring model for a polymerized phantom membrane in the overdamped limit, which is the two-dimensional generalization of the well-known Rouse model for polymers. We derive the {\it exact} eigenmodes of the membrane dynamics…

Soft Condensed Matter · Physics 2013-04-05 Rick Keesman , Gerard T. Barkema , Debabrata Panja

Star polymers can exhibit a heterogeneous dynamical behavior due to their internal structure. In this work we employ atomistic molecular dynamics simulations to study translational motion in non-entangled polystyrene and poly(ethylene…

Soft Condensed Matter · Physics 2021-02-03 Petra Bačová , Eirini Gkolfi , Laurence G. D. Hawke , Vagelis Harmandaris

We report on the linear viscoelastic properties of mixtures comprising multiarm star (as model soft colloids) and long linear chain homopolymers in a good solvent. In contrast to earlier works, we investigated symmetric mixtures (with a…

Soft Condensed Matter · Physics 2020-07-01 Daniele Parisi , Domenico Truzzolillo , Vishnu D. Deepak , Mario Gauthier , Dimitris Vlassopoulos

Bead spring models for polymers in solution are nonlinear if either the finite extensibility of the polymer, excluded volume effects or hydrodynamic interactions between polymer segments are taken into account. For such models we use a…

Soft Condensed Matter · Physics 2009-11-07 Roland Rzehak , Walter Zimmermann

Following the Flory ideality hypothesis intrachain and interchain excluded volume interactions are supposed to compensate each other in dense polymer systems. Multi-chain effects should thus be neglected and polymer conformations may be…

Soft Condensed Matter · Physics 2009-11-13 H. Meyer , J. P. Wittmer , T. Kreer , P. Beckrich , A. Johner , J. Farago , J. Baschnagel

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

The chromosome is a key player of cell physiology, and its dynamics provides valuable information about its physical organization. In both prokaryotes and eukaryotes, the short-time motion of chromosomal loci has been described as a Rouse…

Biological Physics · Physics 2018-02-28 K. E. Polovnikov , M. Gherardi , M. Cosentino-Lagomarsino , M. V. Tamm

The dynamics of flexible polymers in dilute solutions is studied taking into account the hydrodynamic memory, as a consequence of fluid inertia. As distinct from the Rouse-Zimm (RZ) theory, the Boussinesq friction force acts on the monomers…

Soft Condensed Matter · Physics 2009-11-10 V. Lisy , J. Tothova , A. V. Zatovsky

A simple one-dimensional model is constructed for polymer motion. It exhibits the crossover from reptation to Rouse dynamics through gradually allowing hernia creation and annihilation. The model is treated by the density matrix technique…

Statistical Mechanics · Physics 2009-11-11 Andrzej Drzewinski , J. M. J. van Leeuwen

Polymer thin films exhibit pronounced interfacial mobility gradients that modify chain relaxation, yet how these gradients govern chain-scale dynamics across depth remains incompletely understood. Using molecular dynamics simulations of…

Soft Condensed Matter · Physics 2026-02-27 Bao T. Ma , David S. Simmons

In this chapter we review concepts and theories of polymer dynamics. We think of it as an introduction to the topic for scientists specializing in other subfields of statistical mechanics and condensed matter theory, so, for the readers…

Soft Condensed Matter · Physics 2017-08-01 Mikhail V. Tamm , Kirill Polovnikov

We investigate extensional viscosity and polymer conformation in dilute polymer solutions under uniaxial extensional flow using dissipative particle dynamics simulations. At high extension rates, polymers are significantly stretched by…

Soft Condensed Matter · Physics 2025-11-27 Yusuke Koide , Takato Ishida , Takashi Uneyama , Yuichi Masubuchi

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

Active polymeric systems exhibit a rich spectrum of non-equilibrium phenomena arising from stochastic forces that explicitly break detailed balance. Despite the rapid growth of experimental and numerical studies, analytical progress remains…

Soft Condensed Matter · Physics 2026-03-09 Takahiro Sakaue , Enrico Carlon