| Issue |
Europhys. Lett.
Volume 33, Number 5, February II 1996
|
|
|---|---|---|
| Page(s) | 341 - 346 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1996-00344-9 | |
| Published online | 01 September 2002 | |
A Monte Carlo study of diffusion in "living polymers"
1
Johannes-Gutenberg-Universität, Institut für Physik,
Staudinger Weg 7, 55099
Mainz, Germany
2
Institute for Physical Chemistry, Bulgarian Academy of Sciences,
1040
Sofia, Bulgaria
Received:
27
September
1995
Accepted:
21
December
1995
We report the first numeric experiments on diffusion in living
polymers (polymers that can
break and recombine reversibly, and are characterized by an
exponential molecular weight distribution). In the simulation we use
a modification of the bond fluctuation model which is known to
reproduce the correct Rouse dynamics of polymer chains. The diffusion
coefficient D reveals a Rouse-type behaviour 
, where
L is the average chain length of the polydisperse system. We
also find a ![$D\propto \exp[-{V}/{2k_{\rm B} T}]$](/articles/epl/abs/1996/05/33502/33502_tex_eq2.png)
dependence on
the bond energy V , whereas at constant temperature the diffusion
coefficient turns out to be inversely proportional, 
, to the monomer density of the system ρ in agreement
with mean-field description of living polymers.
PACS: 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion / 36.20.-r – Macromolecules and polymer molecules / 82.35.+t – Polymer reactions and polymerization
© EDP Sciences, 1996
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