Question: A bottlebrush polymer is a linear chain with many side branches. The number of chain segments along the primary axis of the chain is N

A bottlebrush polymer is a linear chain with many side branches. The number of chain segments along the primary axis of the chain is N and a fraction of these segments have a branch attached to them. Each branch has NB segments. The solvent exerts a local drag on each segment with a drag coefficient of in addition to a stochastic Brownian force. (a) How many total segments are there per chain? Your answer should include N, NB, and . (b) In the absence of hydrodynamic interactions what is the self diffusion constant for an isolated bottlebrush chain? Express your answer with N, NB, , , and kBT. No derivation is necessary but discuss how you arrived at this

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