%0 Journal Article %@ 0024-9297 %A Morrison, Greg %A Hyeon, Changbong %A Toan, Ngo Minh %A Ha, Bae-Yeun %A Thirumalai, D. %D 2007 %F eprints:1814 %I American Chemical Society %J Macromolecules %N 20 %P 7343-7353 %T Stretching Homopolymers %U http://eprints.imtlucca.it/1814/ %V 40 %X Force-induced stretching of polymers is important in a variety of contexts. We have used theory and simulations to describe the response of homopolymers, with N monomers, to an external force (f ) in good and poor solvents. In good solvents and for sufficiently large N we show, in accord with scaling predictions, that the mean extension along the f axis 〈Z〉 ∼ f for small f and 〈Z〉 ∼ f 2/3 (the Pincus regime) for intermediate values of f. The theoretical predictions for 〈Z〉 as a function of f are in excellent agreement with simulations for N = 100 and 1600. However, even with N = 1600, the expected Pincus regime is not observed due to the breakdown of the assumptions in the blob picture for finite N. We predict the Pincus scaling in a good solvent will be observed for N ≳ 105. The force-dependent structure factors for a polymer in a poor solvent show that there is a hierarchy of structures, depending on the nature of the solvent. For a weakly hydrophobic polymer, various structures (ideal conformations, self-avoiding chains, globules, and rods) emerge on distinct length scales as f is varied. A strongly hydrophobic polymer remains globular as long as f is less than a critical value fc. Above fc, an abrupt first-order transition to a rodlike structure occurs. Our predictions can be tested using single molecule experiments.