Question: 15. Polymer in confinement Consider a non-ideal polymer chain made of N monomers of length b with a monomer- monomer interaction characterised by the second

15. Polymer in confinement Consider a non-ideal polymer chain made of N monomers of length b with a monomer- monomer interaction characterised by the second virial coefficient ve > 0, which has a dimension of volume. In solution, such a polymer takes the shape of a random spheri- cally symmetric coil. In an experiment with a nanopore, the chain is forced into a long cylindrical pore of diameter d. Using the Florys scaling approach, derive the dependence of the mean end-to-end distance of the molecule on the pore diameter. Consider cases or a large pore d > VNb and small pore d 0, which has a dimension of volume. In solution, such a polymer takes the shape of a random spheri- cally symmetric coil. In an experiment with a nanopore, the chain is forced into a long cylindrical pore of diameter d. Using the Florys scaling approach, derive the dependence of the mean end-to-end distance of the molecule on the pore diameter. Consider cases or a large pore d > VNb and small pore d
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