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Related papers: Dynamics of polymers: classic results and recent d…

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We present a general formalism able to derive the kinetic equations of polymer dynamics. It is based on the application of nonequilibrium thermodynamics to analyze the irreversible processes taking place in the conformational space of the…

Soft Condensed Matter · Physics 2009-11-07 J. M. Rubi , A. Perez-Madrid

The dynamical behavior of two types of non-equilibrium systems is discussed: $(a)$ two-dimensional cellular structures, and $(b)$ living polymers. Simple models governing their evolution are introduced and steady state distributions (cell…

Condensed Matter · Physics 2007-05-23 David Mukamel

Various topics concerning the entanglement of composite quantum systems are considered with particular emphasis concerning the strict relations of such a problem with the one of attributing objective properties to the constituents. Most of…

Quantum Physics · Physics 2007-05-23 Giancarlo Ghirardi , Luca Marinatto , Tullio Weber

Using molecular dynamics simulations, we determine the linear and nonlinear viscoelastic properties of a model polymer melt in the unentangled regime. Several approaches are compared for the computation of linear moduli, including…

Materials Science · Physics 2007-05-23 Mihail Vladkov , J. -L. Barrat

We discuss simulations of a simple model for polymer blends in the framework of the Rouse model. At odds with standard predictions, large dynamic asymmetry between the two components induces strong non-exponentiality of the Rouse modes for…

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

The interaction of flexible polymers with fluid flows leads to a number of intriguing phenomena observed in laboratory experiments, namely drag reduction, elastic turbulence and heat transport modification in natural convection, and is one…

Fluid Dynamics · Physics 2018-10-29 Roberto Benzi , Emily S. C. Ching

The past few years have seen many advances in our understanding of the dynamics of polymeric fluids. These include improvements on the successful reptation theory; an emerging molecular theory of semiflexible chain dynamics; and an…

Soft Condensed Matter · Physics 2007-05-23 Peter D. Olmsted

The Langevin Equation for cooperative dynamics represents the dynamics of polymer melts with chains of increasing degree of polymerization, covering the full range of behavior from the unentangled to the entangled regime. This equation…

Soft Condensed Matter · Physics 2015-09-30 M. G. Guenza

Polynomial dynamical systems describing interacting particles in the plane are studied. A method replacing integration of a polynomial multi--particle dynamical system by finding polynomial solutions of a partial differential equations is…

Exactly Solvable and Integrable Systems · Physics 2014-07-08 Maria V. Demina , Nikolai A. Kudryashov

Traditional models of wormlike chains in shear flows at finite temperature approximate the equation of motion via finite difference discretization (bead and rod models). We introduce here a new method based on a spectral representation in…

Soft Condensed Matter · Physics 2007-05-23 Chris H. Wiggins , Alberto Montesi , Matteo Pasquali

Recent emerging interest in experiments of single-polymer dynamics urge computational physicists to revive their understandings, particularly in the nonequilibrium context. Here we briefly discuss the currently evolving approaches of…

Statistical Mechanics · Physics 2020-08-26 Suman Majumder , Henrik Christiansen , Wolfhard Janke

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

This paper is devoted to the study of induced topological pressure, including both classical and nonlinear cases. For the classical induced topological pressure, we investigate equilibrium states, subdifferential and freezing states, while…

Dynamical Systems · Mathematics 2025-07-11 Wenhui Ma , Yun Zhao , Hanjing Zhu

This paper explores the connection between dynamical system properties and statistical physics of ensembles of such systems. Simple models are used to give novel phase transitions; particularly for finite N particle systems with many…

Statistical Mechanics · Physics 2007-11-06 Ajay Patwardhan

Abstract polymer models are systems of weighted objects, called polymers, equipped with an incompatibility relation. An important quantity associated with such models is the partition function, which is the weighted sum over all sets of…

Probability · Mathematics 2025-12-12 Tobias Friedrich , Andreas Göbel , Martin S. Krejca , Marcus Pappik

We derive a general mean-field theory of inhomogeneous polymer dynamics; a theory whose form has been speculated and widely applied, but not heretofore derived. Our approach involves a functional integral representation of a…

Soft Condensed Matter · Physics 2015-06-18 Glenn H. Fredrickson , Henri Orland

This colloquium gives an overview of recent theoretical and experimental progress in the area of nonequilibrium dynamics of isolated quantum systems. We particularly focus on quantum quenches: the temporal evolution following a sudden or…

Statistical Mechanics · Physics 2011-09-29 Anatoli Polkovnikov , Krishnendu Sengupta , Alessandro Silva , Mukund Vengalattore

The some dynamic properties of a random heteropolymer in the condensed state are studied in the mode coupling approximation. In agreement with recent report a dynamic friction increasing is predicted for the random heteropolymer with…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. Sh. Mamasakhlisov , V. F. Morozov

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

Blends of polymers of different topologies, such as ring and supercoiled, naturally occur in biology and often exhibit emergent viscoelastic properties coveted in industry. However, due to their complexity, along with the difficulty of…