Abstract
The similarities and differences between geometric and tensile constraints on polymers have not been fully investigated. Here we use theory (blob models) and simulations to present a comprehensive comparison between polymers in these two situations. For a polymer in good solvent, the effect of tensile force f on extension in the Pincus regime is similar to the effect of cylindrical confinement in the de Gennes regime after mapping the characteristic length kBT/f to the cylindrical diameter D, where kBT is the thermal energy. However, the comparison of the effects of tension and confinement on extension is lacking when kBT/f and D are less than the thermal blob size b, referred to as extended Pincus regime and extended de Gennes regime, respectively. In the extended Pincus regime, force can still segregate the ideal-coils with the size of ∼kBT/f, resulting in the scaling of extension L∥ ∼ (kBT/f)−1. In the extended de Gennes regime, excluded volume interaction is not sufficient to segregate the ideal-coils...
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