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Contrary to some expectations, an experimental finding for a polymer that the solution intrinsic viscosity $[\eta]$ or the melt viscosity is linear in the polymer molecular weight $M$ does not indicate that polymer dynamics are Rouselike.…

Soft Condensed Matter · Physics 2021-05-03 George D. J. Phillies

We propose a theory of the dynamics of polymers in dilute solution, in which the popular Zimm and Rouse models are limiting cases of infinitely large and small draining parameter. The equation of motion for the polymer segments beads) is…

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

The Rouse model can be regarded as the standard model to describe the dynamics of a short polymer chain under melt conditions. In this contribution, we explicitly check one of the fundamental assumptions of this model, namely that of a…

Soft Condensed Matter · Physics 2014-10-14 Diddo Diddens , Andreas Heuer

The Rouse (J. Chem. Phys. 21, 1272 (1953)) and Zimm (J. Chem. Phys. 24}, 269 (1956)) treatments of the dynamics of a polymer chain are shown to contain a fundamental mathematical error, which causes them to lose the zero-relaxation-rate,…

Soft Condensed Matter · Physics 2009-07-27 George D. J. Phillies

The dynamics of ring polymer melts are studied via molecular dynamics simulations of the Kremer-Grest bead-spring model. Rouse mode analysis is performed in comparison with linear polymers by changing the chain length. Rouse-like behavior…

Soft Condensed Matter · Physics 2021-09-23 Shota Goto , Kang Kim , Nobuyuki Matubayasi

We study the segmental dynamics of poly(ethylene oxide) (PEO) from microscopic simulations in the neat polymer and a polymer electrolyte (PEO/LiBF$_4$) by analyzing the normal modes. We verify the applicability of the Rouse theory,…

Soft Condensed Matter · Physics 2008-04-15 Arijit Maitra , Andreas Heuer

We extend the Rouse model of polymer dynamics to situations of non-stationary chain growth. For a dragged polymer chain of length $N(t) = t^\alpha$, we find two transitions in conformational dynamics. At $\alpha= 1/2$, the propagation of…

Soft Condensed Matter · Physics 2016-07-25 Ali Malek , Reiner Kree

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

Polymer melts with chains undergoing reversible crosslinking have distinctively favorable dynamic properties, e.g., self healing and reprocessability. In these situations there are two relevant elementary time scales: the segmental and the…

Soft Condensed Matter · Physics 2025-03-14 Rahul Karmakar , Srikanth Sastry , Sanat K. Kumar , Tarak K. Patra

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

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

The local dynamical features of a PEO melt studied by MD simulations are compared to two model chain systems, namely the well-known Rouse model as well as the semiflexible chain model (SFCM) that additionally incorporates chain stiffness.…

Soft Condensed Matter · Physics 2015-05-19 Diddo Diddens , Martin Brodeck , Andreas Heuer

We investigate conformations and dynamics of a polymer considering its monomers to be active Brownian particles. This active polymer shows very intriguing physical behavior which is absent in an active Rouse chain. The chain initially…

Soft Condensed Matter · Physics 2020-04-13 Shalabh K. Anand , Sunil P. Singh

By means of computer simulations, we investigate the relaxation of the Rouse modes in a simple bead-spring model for non-entangled polymer blends. Two different models are used for the fast component, namely fully-flexible and semiflexible…

Soft Condensed Matter · Physics 2015-05-20 Marco Bernabei , Angel J. Moreno , Juan Colmenero

This article presents a comprehensive review of the Hydrodynamic Scaling Model for the dynamics of polymers in dilute and nondilute solutions. The Hydrodynamic Scaling Model differs from some other treatments of non-dilute polymer solutions…

Soft Condensed Matter · Physics 2016-07-01 George D. J. Phillies

We study phenomenological scaling theories of the polymer dynamics in random media, employing the existing scaling theories of polymer chains and the percolation statistics. We investigate both the Rouse and the Zimm model for Brownian…

Soft Condensed Matter · Physics 2015-06-24 Bikas K. Chakrabarti , Amit K. Chattopadhyay , Amit Dutta

Polymer Physics: Phenomenology of Polymeric Fluid Simulations is a review volume that I am writing. I anticipate it will take a while to complete, so I am supplying individual chapters when each is more-or-less completed. This Chapter…

Soft Condensed Matter · Physics 2022-10-26 George D. J. Phillies

The file is a Chapter from my review volume "Polymer Physics: Phenomenology of Polymeric Fluid Simulations". The chapter treats literature tests of the Rouse model, which is widely invoked as a description of polymer motion in melts. In…

Soft Condensed Matter · Physics 2024-08-27 George D. J. Phillies

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

The competition between reptation and Rouse Dynamics is incorporated in the Rubinstein-Duke model for polymer motion by extending it with sideways motions, which cross barriers and create or annihilate hernias. Using the Density-Matrix…

Statistical Mechanics · Physics 2009-11-13 Andrzej Drzewinski , J. M. J. van Leeuwen
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