Relation between cyclization of polymers with different initial conditions

Chuck Yeung, B. A. Friedman

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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 ring(t) ∝ d/dtring, where (t) 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 d/dteq ∼ t-1/4 for times less than the longest polymer relaxation time. Therefore our relation shows that d/dtring ∼ t-5/4 for a ring initial distribution under the same conditions.

Original languageEnglish (US)
Pages (from-to)621-627
Number of pages7
JournalEurophysics Letters
Volume73
Issue number4
DOIs
StatePublished - Feb 15 2006

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rings
polymers
proximity
relaxation time
simulation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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abstract = "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 ring(t) ∝ d/dtring, where (t) 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 d/dteq ∼ t-1/4 for times less than the longest polymer relaxation time. Therefore our relation shows that d/dtring ∼ t-5/4 for a ring initial distribution under the same conditions.",
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Relation between cyclization of polymers with different initial conditions. / Yeung, Chuck; Friedman, B. A.

In: Europhysics Letters, Vol. 73, No. 4, 15.02.2006, p. 621-627.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Relation between cyclization of polymers with different initial conditions

AU - Yeung, Chuck

AU - Friedman, B. A.

PY - 2006/2/15

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N2 - 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 ring(t) ∝ d/dtring, where (t) 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 d/dteq ∼ t-1/4 for times less than the longest polymer relaxation time. Therefore our relation shows that d/dtring ∼ t-5/4 for a ring initial distribution under the same conditions.

AB - 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 ring(t) ∝ d/dtring, where (t) 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 d/dteq ∼ t-1/4 for times less than the longest polymer relaxation time. Therefore our relation shows that d/dtring ∼ t-5/4 for a ring initial distribution under the same conditions.

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