Analysis of the Mean First Looping Time of a Rod-Polymer

Analysis of the Mean First Looping Time of a Rod-Polymer

We present a new approach to investigating the dynamics of loop formation in a very crude polymer model and estimate the mean first time for the two ends to meet. This time depends on the number of monomers $N$. We obtain analytical formulas when $N=3,4$ in dimension two and an asymptotic formula wh...

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Veröffentlicht in:Multiscale modeling & simulation 2012-01, Vol.10 (2), p.612-632
Hauptverfasser: Amitai, A., Kupka, I., Holcman, D.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Brownian motion
Polymers
Random variables
Simulation
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Beschreibung
Zusammenfassung:We present a new approach to investigating the dynamics of loop formation in a very crude polymer model and estimate the mean first time for the two ends to meet. This time depends on the number of monomers $N$. We obtain analytical formulas when $N=3,4$ in dimension two and an asymptotic formula when $N$ is large. Our analysis is confirmed by stochastic simulations. [PUBLICATION ABSTRACT]
ISSN:1540-3459
1540-3467
DOI:10.1137/110842624