DLSμR of DNA solutions
reveals a hierarchy of molecular relaxations.
Top: Shear modulus G* as a function of angular frequency
ω of semidilute DNA solutions. Regions A, B, and C represent
approximate regimes in which the viscoelastic response is expected
to probe the total chain relaxation, internal flexible chain relaxation,
and bend relaxation, respectively. Dashed lines indicate the expected
scaling laws for a Rouse polymer (G* ∼ ω1/2) and a freely draining semiflexible chain (G* ∼ ω3/4) . The dotted and solid lines indicate
the theoretical predictions for G′ and G″, respectively, of a semiflexible polymer modeled
as a WLC. Middle: Illustrations of the physical behavior probed at
the time-scale regimes annotated A, B, and C in the top plot. Bottom:
Representative snapshot of a 5.8 kilobase DNA molecule modeled as
a WLC obtained by Monte Carlo simulation. Magnifications represent
the approximate contour length of the DNA molecule whose relaxations
dominate the viscoelastic response that is probed at time scales τ
(which reside within regimes A, B, and C) by tracer particles undergoing
approximate displacements Δr.