Nonlinear Dynamics and Polymeric Systems: An Overview (original) (raw)

2003, ACS Symposium Series

This chapter provides an overview of nonlinear chemical dynamics and synthetic polymeric systems, the progress that has been made in bringing these areas together, and some issues that merit further study. Some key themes and results of nonlinear chemical dynamics are cited, and an attempt is made to link them to important questions in polymeric systems. Nonlinear Chemical Dynamics Nonlinear dynamics is a vast field, originating in mathematics and physics, we shall focus here on its chemical aspects. In this section, we provide a brief overview of the key concepts and phenomena relevant to chemical systems. The next section considers nonlinear dynamics in polymeric systems. Finally, we consider future directions for the field. A more detailed treatment of nonlinear chemical dynamics, including a more detailed discussion of polymer systems, may be found in reference (i).

Sign up for access to the world's latest research.

checkGet notified about relevant papers

checkSave papers to use in your research

checkJoin the discussion with peers

checkTrack your impact

Molecular dynamics in polymeric systems

e-Polymers, 2004

It is well known that the properties of polymeric materials depend strongly upon their chemical structure. Other more specific factors that may be related to the chemical structure also determine the macroscopic behaviour of such materials, namely the relative position of the different segments of the polymeric chain, the molecular architecture (molecular weight distribution, branching, copolymer organisation, cross-linking extent, etc.), the crystalline environment and the pressure/temperature conditions. All these factors have a common impact in the material: they are strongly correlated to the mobility on the molecular level. That is why a huge amount of work has been devoted to the study of translational/rotational mobility that occurs within the polymeric chains. This review is intended to provide a brief survey on such kinds of mobilities, how they can be studied and what are their main characteristics. Examples on systems studied in our groups will be provided, obtained by di...

Dynamics of dilute polymer solutions

Fluid Dynamics, 1988

Taking volume effects, hydrodynamic no-flow conditions, and internal viscosity into account in the molecular dynamics has made it possible to formulate an equation of flow for a dilute polymer solution which in the region of comparatively slowly varying motions is described by the available experimental [acts .

Bifurcation Analysis of Nonisothermal Nonlinear Polymerization

Industrial & Engineering Chemistry Research, 2005

A bifurcation analysis for continuous nonlinear free-radical polymerization subject to gel formation is presented. The analysis uses the Numerical Fractionation technique and studies the multiplicity and dynamics of the sol and gel polymer properties for bulk, nonisothermal, vinyl-divinyl copolymerization. The bifurcation analysis has revealed s-shape, mushroom, and isola-type multiplicity structures; multiple critical gel transitions; and interesting dynamics for the system investigated.

The Dynamics of Polymer Chains in Solution

New Trends in Nonionic (Co)Polymers and Hybrids, 2006

The physical properties and processing behavior of polymers are related to the broad range of length and times scales over which dynamical processes occur. The theory has undergone significant evolution over the last decades due to the introduction of new methods and concepts that have extended the frontier from dilute solutions, in which polymers move independently, to concentrated solutions, where many macromolecules entangle. The aim of this chapter is to review briefly the background of polymer dynamics in solution and to provide the recent achievements in this field. A good understanding of polymer dynamics in solution and the possibility to predict their behavior under flow in different media may help out to a large extent to the synthesis of high-performance polymers, with tailored properties.

Nonlinear chemical dynamics

Dalton Transactions, 2003

The interdisciplinary field of nonlinear chemical dynamics has grown significantly in breadth and depth over the past three decades. Its subject matter and applications encompass all branches of chemistry as well as areas of mathematics, physics, biology and engineering. In this Perspective, we present an overview of some of the key results of nonlinear chemical dynamics, with emphasis on those areas most likely to be of interest to inorganic chemists. We discuss the range of phenomenology from chemical oscillation to chaos to waves and pattern formation, as well as experimental methods, mechanistic considerations, theoretical techniques, and the results of coupling and external forcing. Nonlinear dynamics in chemical systems Nonlinear dynamics is the study of how systems whose behaviour depends in a nonlinear fashion on the values of key variables, like concentrations in a chemical reaction, evolve in

Loading...

Loading Preview

Sorry, preview is currently unavailable. You can download the paper by clicking the button above.