Relaxation of a polymer chain confined in a tube or a slit

K. Hagita, Hiroshi Takano

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

Abstract

Relaxation modes and rates of a single polymer chain confined in a tube or a slit by repulsive walls are studied by Monte Carlo simulations of the bond fluctuation model, where only the excluded volume interaction is taken into account. The relaxation modes and rates of a polymer chain of N segments in the directions parallel and perpendicular to the walls are estimated by solving generalized eigenvalue problems for the equilibrium time correlation matrices of positions of the segments. For the parallel component, the behavior of the pth slowest relaxation rate λp of a polymer chain of N segments agrees with the scaling prediction λp≈λb(gp/N)x for gp/N≪1, where x = 2 for a tube and x = 2.5 for a slit. Here, λb and g are the slowest relaxation rate within each blob and the number of segments per blob, respectively. The corresponding relaxation modes show the Rouse-like behavior. For the perpendicular component, the behavior of the pth slowest relaxation rate λp is consistent with the scaling prediction λp≈λb for gp/N<1. The behavior of the corresponding relaxation modes is consistent with the blob picture.

Original languageEnglish
Title of host publicationJournal De Physique. IV : JP
PublisherEditions de Physique
Volume10
Edition7
Publication statusPublished - 2000
EventInternational Workshop on Dynamics in Confinement - Grenoble, France
Duration: 2000 Jan 262000 Jan 29

Other

OtherInternational Workshop on Dynamics in Confinement
CityGrenoble, France
Period00/1/2600/1/29

Fingerprint

slits
tubes
polymers
scaling
predictions
eigenvalues
simulation
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Hagita, K., & Takano, H. (2000). Relaxation of a polymer chain confined in a tube or a slit. In Journal De Physique. IV : JP (7 ed., Vol. 10). Editions de Physique.

Relaxation of a polymer chain confined in a tube or a slit. / Hagita, K.; Takano, Hiroshi.

Journal De Physique. IV : JP. Vol. 10 7. ed. Editions de Physique, 2000.

Research output: Chapter in Book/Report/Conference proceedingChapter

Hagita, K & Takano, H 2000, Relaxation of a polymer chain confined in a tube or a slit. in Journal De Physique. IV : JP. 7 edn, vol. 10, Editions de Physique, International Workshop on Dynamics in Confinement, Grenoble, France, 00/1/26.
Hagita K, Takano H. Relaxation of a polymer chain confined in a tube or a slit. In Journal De Physique. IV : JP. 7 ed. Vol. 10. Editions de Physique. 2000
Hagita, K. ; Takano, Hiroshi. / Relaxation of a polymer chain confined in a tube or a slit. Journal De Physique. IV : JP. Vol. 10 7. ed. Editions de Physique, 2000.
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