Viscoelasticity of entangled λ-phage DNA solutions

The viscoelastic moduli of lambda-phage DNA through the entanglement transition were obtained with particle tracking microrheology. With increasing frequency, the viscous loss modulus first increases, then levels off, and eventually increases again. Concurrently, the elastic storage modulus monotonously increases and eventually levels off to a constant high frequency plateau value. Once the DNA molecules become entangled at about ten times the overlap concentration, the elastic storage modulus becomes larger than the viscous loss modulus in an intermediate frequency range. The number of entanglements per chain is obtained from the plateau value of the elasticity modulus. The longest, global relaxation time pertaining to the motion of the DNA molecules is obtained from the low shear viscosity as well as from the lowest crossover frequency of the viscous loss and elastic storage moduli. The concentration dependencies of the low shear viscosity, the number of entanglements per chain, and the relaxation time agree with the relevant scaling laws for reptation dynamics of entangled polyelectrolytes in an excess of simple, low molecular weight salt with screened electrostatic interactions.