A molecular model is introduced to describe the linear viscoelasticity of tightly entangled solutions of semiflexible polymers. An expression for the stress of a solution of wormlike chains is derived, and a tube model is used to describe the effects of entanglement. Consideration of the Brownian dynamics of the polymer within its tube yields a dynamic modulus G*(ω)∝(iω)3/4 at high frequencies, in agreement with the results of recent microrheology experiments on actin solutions.
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David C. Morse (1998) studied this question.
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