@article{eprints1813, volume = {122}, pages = {194907}, number = {19}, title = {The shape of a flexible polymer in a cylindrical pore}, year = {2005}, publisher = {American Institute of Physics}, journal = {Journal of Chemical Physics }, author = {Greg Morrison and D. Thirumalai}, url = {http://eprints.imtlucca.it/1813/}, abstract = {We calculate the mean end-to-end distance R of a self-avoiding polymer encapsulated in an infinitely long cylinder with radius D. A self-consistent perturbation theory is used to calculate R as a function of D for impenetrable hard walls and soft walls. In both cases, R obeys the predicted scaling behavior in the limit of large and small D. The crossover from the three-dimensional behavior (D{$\rightarrow$}?) to the fully stretched one-dimensional case (D{$\rightarrow$}0) is nonmonotonic. The minimum value of R is found at D {$\sim$} 0.46RF, where RF is the Flory radius of R at D{$\rightarrow$}?. The results for soft walls map onto the hard wall case with a larger cylinder radius.} }