Main content

Polymer Dynamics: A Self-Consistent Field-Theoretic Approach

Show simple item record

dc.contributor.advisor Wickham, Robert Grzetic, Doug 2011-12-08T14:28:14Z 2011-12-08T14:28:14Z 2011-12 2011-12-02 2011-12-08
dc.description.abstract We develop a self-consistent field theory of polymer dynamics, based on a functional integral approach, which is analogous to the existing equilibrium self-consistent field theory for polymers. We apply a saddle-point approximation to the exact dynamical theory, which generates a set of mean-field equations for the time-dependent density and mean force field. We also develop a method of treating the single-chain dynamics exactly, subject to this mean-field, resulting in a functional Fokker-Planck equation that must be solved along with the mean-field equations in a self-consistent manner. To test the self-consistency, we apply the theory to the simple but non-trivial case of np Brownian particles in one dimension interacting via a short-range repulsion in a harmonic external potential. Results for the non-interacting case agree with the literature. The interacting case demonstrates physically sensible interaction-dependent dynamics, such as an increased broadening of the density field when the repulsion is increased. We also examine the dynamics of a binary system with two distinct particle species. We calculate the center-of-mass trajectories for colliding distributions of species A and B, and observe that when the difference of repulsion strengths between like and unlike species chi is greater than a threshold value (between chi = 0.3 and chi = 0.4), the two species do not mix (indicating the onset of phase segregation). en_US
dc.language.iso en en_US
dc.publisher University of Guelph en_US
dc.subject polymer dynamics en_US
dc.subject field theory en_US
dc.subject self-consistent field theory en_US
dc.title Polymer Dynamics: A Self-Consistent Field-Theoretic Approach en_US
dc.type Thesis en_US Physics en_US Master of Science en_US Department of Physics en_US
dc.rights.license All items in the Atrium are protected by copyright with all rights reserved unless otherwise indicated. University of Guelph en_US

Files in this item

Files Size Format View Description
msc_thesis.pdf 711.9Kb PDF View/Open Thesis

This item appears in the following Collection(s)

Show simple item record

The library is committed to ensuring that members of our user community with disabilities have equal access to our services and resources and that their dignity and independence is always respected. If you encounter a barrier and/or need an alternate format, please fill out our Library Print and Multimedia Alternate-Format Request Form. Contact us if you’d like to provide feedback:  (email address)