A coarse-grained bead-spring-dashpot chain model with the dashpots representing presence of internal friction is solved exactly numerically for case chains more than two beads. Using a decoupling procedure to remove explicit coupling bead’s velocity that its nearest neighbors, governing set stochastic differential equations are Brownian dynamics simulations obtain material functions in oscillat...

A mode-coupling theory for dense polymeric systems is developed which unifyingly incorporates the segmental cage effect relevant for structural slowing down and polymer chain conformational degrees of freedom. An ideal glass transition of polymer melts is predicted which becomes molecular-weight independent for large molecules. The theory provides a microscopic justification for the use of the ...

We present experimental evidence of a transition in the short-time Brownian motion of colloids from diffusive to subdiffusive, Rouse-like. This transition is seen for particles that are bound, through physical adsorption, to transient polymer networks. The characteristic Rouse scaling of the mean square particle displacement with radical t, found in the experiments, is rationalized using an ana...

This article provides important mathematical descriptions and computer algorithms in relation to the responding optimally with unknown sources of evidence (ROUSE) model of Huber, Shiffrin, Lyle, and Ruys (2001), which has been applied to short-term priming phenomena. In the first section, techniques for obtaining parameter confidence intervals and parameter correlations are described, which are...

Simulation of the Rouse model in flow underlies a great variety of numerical investigations of polymer dynamics, in both entangled melts and solutions and in dilute solution. Typically a simple explicit stochastic Euler method is used to evolve the Rouse model. Here we compare this approach to an operator splitting method, which splits the evolution operator into stochastic linear and determini...

In this paper we focus on the relaxation dynamics of a multihierarchical polymer network built through the replication of the dual Sierpinski gasket in the form of a regular dendrimer. The relaxation dynamics of this multihierarchical structure is investigated in the framework of the generalized Gaussian structure model using both Rouse and Zimm approaches. In the Rouse-type approach, we show a...

The separation of electrophoresing DNA molecules of varying lengths, actuated by their sizedependent collision with a stationary obstacle or array of obstacles, has recently gained prominence. To gain insight into how a chain initially unravels subsequent to a polymer-obstacle collision, we investigate the stretching dynamics of a tethered polymer chain initially at equilibrium, following the i...

We have investigated chain dynamics of an unentangled polybutadiene melt via molecular dynamics simulations and neutron spin echo experiments. Good short-time statistics allows for the first experimental confirmation of subdiffusive motion of polymer chains for times less than the Rouse time (tR) confirming behavior in this regime observed in simulations. Analysis of simulation trajectories obt...

It is shown that the traditionally accepted “Rouse values” for the critical exponents at the gelation transition do not arise from the Rouse model for gelling polymers. The true critical behaviour of the Rouse model for gelling polymers is obtained from spectral properties of the connectivity matrix of the fractal clusters that are formed by the molecules. The required spectral properties are r...