# Reactions at Polymer Interfaces: Transitions from Chemical to Diffusion-Control and Mixed Order Kinetics

Source: [Reactions at Polymer Interfaces: Transitions from Chemical to Diffusion-Control and Mixed Order Kinetics](<https://www.sota2.com/research/paper/68fa24922c2a3760193a5f81>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:19:13.338Z

Authors: Ben O'Shaughnessy, Dimitrios Vavylonis (2) \_\_INSTITUTION\_2\_\_ Dept Chemical Engineering, Columbia Univ, (2) Dept Physics, Columbia Univ)

Published: 1998-09-02T06:07:37.000Z

## Abstract

We study reactions between end-functionalized chains at a polymer-polymer interface. For small chemical reactivities (the typical case) the number of diblocks formed, $R\_t$, obeys 2nd order chemically controlled kinetics, $R\_t \\sim t$, until interfacial saturation. For high reactivities (e.g. radicals) a transition occurs at short times to 2nd order diffusion-controlled kinetics, with $R\_t \\sim t/\\ln t$ for unentangled chains while $t/\\ln t$ and $t^{1/2}$ regimes occur for entangled chains. Long time kinetics are 1st order and controlled by diffusion of the more dilute species to the interface: $R\_t \\sim t^{1/4}$ for unentangled cases, while $R\_t \\sim t^{1/4}$ and $t^{1/8}$ regimes arise for entangled systems. The final 1st order regime is governed by center of gravity diffusion, $R\_t \\sim t^{1/2}$.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9809027>)

[PDF](<https://arxiv.org/pdf/cond-mat/9809027.pdf>)