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Brownian motion of the wormlike chain and segmental diffusion of DNA
Author(s) -
Berg Otto G.
Publication year - 1979
Publication title -
biopolymers
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.556
H-Index - 125
eISSN - 1097-0282
pISSN - 0006-3525
DOI - 10.1002/bip.1979.360181114
Subject(s) - brownian dynamics , brownian motion , chain (unit) , diffusion , chemistry , langevin equation , polymer , square (algebra) , dynamics (music) , statistical physics , diffusion process , mean squared displacement , classical mechanics , thermodynamics , physics , molecular dynamics , computational chemistry , mathematics , geometry , quantum mechanics , knowledge management , innovation diffusion , acoustics , organic chemistry , computer science
The dynamics of the wormlike chain model for a polymer in solution is investigated in the case of free torsional and no longitudinal variations. A Langevin equation is derived and solved for circularly closed chains, neglecting hydrodynamic interactions. The local diffusion behavior of particular segments is described, and it is found that the mean‐square displacements are proportional to t 3/4 at short times. Also, the equilibrium correlation functions for the closed chain are derived from the dynamic model in both the discrete and wormlike cases.