| Issue |
Europhys. Lett.
Volume 45, Number 5, March I 1999
|
|
|---|---|---|
| Page(s) | 638 - 644 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i1999-00215-y | |
| Published online | 01 September 2002 | |
Reactions at polymer interfaces: Transitions from chemical to diffusion-control and mixed order kinetics
1
Department of Chemical Engineering, Columbia University
500 West 120th St., New York, NY 10027, USA
2
Department of Physics, Columbia University 538 West
120th St., New York, NY 10027, USA
Received:
24
April
1998
Accepted:
21
December
1998
We study reactions between end-functionalized chains at a
polymer-polymer interface. For small chemical reactivities (the
typical case) the number of diblocks formed, 
, obeys 2nd-order
chemically controlled kinetics, 
, until interfacial
saturation. For high reactivities (e.g., radicals) a transition occurs
at short times to 2nd-order diffusion-controlled kinetics, with 
for unentangled chains while 
and 
regimes occur for entangled chains. Long-time kinetics are 1st order
and controlled by diffusion of the more dilute species to the
interface: 
for unentangled cases, while 
and 
regimes arise for entangled systems. The final
1st-order regime is governed by center-of-gravity diffusion, 
.
PACS: 82.35.+t – Polymer reactions and polymerization / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 68.10.-m – Fluid surfaces and fluid-fluid interfaces
© EDP Sciences, 1999
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.