Issue |
Europhys. Lett.
Volume 73, Number 4, February 2006
|
|
---|---|---|
Page(s) | 621 - 627 | |
Section | Interdisciplinary physics and related areas of science and technology | |
DOI | https://doi.org/10.1209/epl/i2005-10440-4 | |
Published online | 13 January 2006 |
Relation between cyclization of polymers with different initial conditions
1
School of Science, The Pennsylvania State University at Erie, The Behrend College Erie, PA 16563-0203, USA
2
Department of Physics, Sam Houston State University - Huntsville, TX 77341, USA
Received:
30
September
2005
Accepted:
26
December
2005
We study cyclization of polymer chains in which the reactive ends
of the chains are initially in close proximity (ring initial
conditions). We find a surprising general relation between
cyclization with ring and equilibrium initial conditions, namely
that , where
is the survival fraction. We show that this proportionality is
exact for a special type of non-generic ring initial conditions and
use an approximate argument to motivate the proportionality for
more general ring initial condition. Our analytic results are
confirmed by Langevin simulations of Gaussian chains. Earlier work
for very long Rouse chains with equilibrium initial conditions shows
that
for times less than the
longest polymer relaxation time. Therefore our relation shows that
for a ring initial
distribution under the same conditions.
PACS: 82.35.-x – Polymers: properties; reactions; polymerization / 82.20 Wt – Computational modeling; simulation
© EDP Sciences, 2006
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.