Tension dynamics in semiflexible polymers. I. Coarse-grained equations of motion

Hallatschek, Oskar; Frey, Erwin and Kroy, Klaus (March 2007): Tension dynamics in semiflexible polymers. I. Coarse-grained equations of motion. In: Physical Review E, Vol. 75, No. 3: 031905-1

Abstract

Based on the wormlike chain model, a coarse-grained description of the nonlinear dynamics of a weakly bending semiflexible polymer is developed. By means of a multiple-scale perturbation analysis, a length-scale separation inherent to the weakly bending limit is exploited to reveal the deterministic nature of the spatio temporal relaxation of the backbone tension and to deduce the corresponding coarse-grained equation of motion. From this partial integro-differential equation, some detailed analytical predictions for the nonlinear response of a weakly bending polymer are derived in an accompanying paper O. Hallatschek , following paper, Phys. Rev. E 75, 031906 (2007)].

• Item Type: Journal article
• Form of publication: Publisher's Version
• Faculties: Physics
• Subjects: 500 Science > 530 Physics
• ISSN: 1539-3755
• Place of Publication: ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
• Language: English