The Mean First Rotation Time of a planar polymer

Abstract : We estimate the mean first time, called the mean rotation time (MRT), for a planar random polymer to wind around a point. This polymer is modeled as a collection of n rods, each of them being parameterized by a Brownian angle. We are led to study the sum of i.i.d. imaginary exponentials with one dimensional Brownian motions as arguments. We find that the free end of the polymer satisfies a novel stochastic equation with a nonlinear time function. Finally, we obtain an asymptotic formula for the MRT, whose leading order term depends on the square root of n and, interestingly, depends weakly on the mean initial configuration. Our analytical results are confirmed by Brownian simulations.Our analytical results are confirmed by Brownian simulations.
Document type :
Preprints, Working Papers, ...
2011
Liste complète des métadonnées

Cited literature [31 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00553669
Contributor : Stavros Vakeroudis <>
Submitted on : Monday, May 9, 2011 - 7:22:41 PM
Last modification on : Thursday, March 16, 2017 - 1:07:38 AM
Document(s) archivé(s) le : Wednesday, August 10, 2011 - 2:51:51 AM

Files

MRT.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00553669, version 3
  • ARXIV : 1101.1737

Collections

UPMC | PMA | INSMI | PSL | USPC | MODALX

Citation

Stavros Vakeroudis, Marc Yor, David Holcman. The Mean First Rotation Time of a planar polymer. 2011. 〈hal-00553669v3〉

Share

Metrics

Record views

212

Document downloads

77