  The way tension propagates along a chain is a key to govern many of anomalous
dynamics in macromolecular systems. After introducing the weak and the strong
force regimes of the tension propagation, we focus on the latter, in which the
dynamical fluctuations of a segment in a long polymer during its stretching
process is investigated. We show that the response, i.e., average drift, is
anomalous, which is characterized by the nonlinear memory kernel, and its
relation to the fluctuation is nontrivial. These features are discussed on the
basis of the generalized Langevin equation, in which the role of the temporal
change in spring constant due to the stress hardening is pinpointed. We carried
out the molecular dynamics simulation, which supports our theory.
